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Öğe A computational fluid dynamics analysis on Fe3O4-H2O based nanofluid axisymmetric flow over a rotating disk with heat transfer enhancement(Nature Portfolio, 2023) Farooq, Umar; Hassan, Ali; Fatima, Nahid; Imran, Muhammad; Alqurashi, M. S.; Noreen, Sobia; Akgul, AliIn present times modern electronic devices often come across thermal difficulties as an outcome of excessive heat production or reduction in surface area for heat exclusion. The current study is aimed to inspect the role of iron (III) oxide in heat transfer enhancement over the rotating disk in an axisymmetric flow. Water is utilized as base fluid conveying nano-particle over the revolving axisymmetric flow mechanism. Additionally, the computational fluid dynamics (CFD) approach is taken into consideration to design and compute the present problem. For our convenience, two-dimensional axisymmetric flow configurations are considered to illustrate the different flow profiles. For radial, axial, and tangential velocity profiles, the magnitude of the velocity, streamlines, and surface graphs are evaluated with the similarity solution in the computational fluid dynamics module. The solution of dimensionless equations and the outcomes of direct simulations in the CFD module show a comparable solution of the velocity profile. It is observed that with an increment in nanoparticle volumetric concentration the radial velocity decline where a tangential motion of flow enhances. Streamlines stretch around the circular surface with the passage of time. The high magnetization force 0 = m(1) = 6 resist the free motion of the nanofluid around the rotating disk. Such research has never been done, to the best of the researchers' knowledge. The outcomes of this numerical analysis could be used for the design, control, and optimization of numerous thermal engineering systems, as described above, due to the intricate physics of nanofluid under the influences of magnetic field and the inclusion of complex geometry. Ferrofluids are metallic nanoparticle colloidal solutions. These kinds of fluids do not exist in nature. Depending on their purpose, ferrofluids are produced using a variety of processes. One of the most essential characteristics of ferrofluids is that they operate in a zero-gravity environment. Ferrofluids have a wide range of uses in engineering and medicine. Ferrofluids have several uses, including heat control loudspeakers and frictionless sealing. In the sphere of medicine, however, ferrofluid is employed in the treatment of cancer via magneto hyperthermia.Öğe A finite difference scheme to solve a fractional order epidemic model of computer virus(Amer Inst Mathematical Sciences-Aims, 2023) Iqbal, Zafar; Rehman, Muhammad Aziz-ur; Imran, Muhammad; Ahmed, Nauman; Fatima, Umbreen; Akgul, Ali; Rafiq, MuhammadIn this article, an analytical and numerical analysis of a computer virus epidemic model is presented. To more thoroughly examine the dynamics of the virus, the classical model is transformed into a fractional order model. The Caputo differential operator is applied to achieve this. The Jacobian approach is employed to investigate the model's stability. To investigate the model's numerical solution, a hybridized numerical scheme called the Grunwald Letnikov nonstandard finite difference (GL-NSFD) scheme is created. Some essential characteristics of the population model are scrutinized, including positivity boundedness and scheme stability. The aforementioned features are validated using test cases and computer simulations. The mathematical graphs are all detailed. It is also investigated how the fundamental reproduction number R0 functions in stability analysis and illness dynamics.Öğe A proceeding to numerical study of mathematical model of bioconvective Maxwell nanofluid flow through a porous stretching surface with nield/convective boundary constraints(Nature Portfolio, 2024) Imran, Muhammad; Basit, Muhammad Abdul; Yasmin, Sumeira; Khan, Shan Ali; Elagan, S. K.; Akguel, Ali; Hassan, Ahmed M.Nanofluids become significant in the mass and heat transfer models, especially in engineering problems. Current proceedings focused on the bioconvective Maxwell nanofluid flow passing through the permeable stretchable sheet contingent to nield boundary conditions involving effects of activation energy and thermal radiation. Various physical quantities are involved in this mechanism like magnetic field, thermophoresis, and Brownian motion. The main objective of the study is to report the heat and mass transport in the existence of motile microorganisms. In a mathematical perspective, this structured physical model is going to govern with the help of partial differential equations (PDEs). These governing PDEs are then converted into dimensionless ordinary differential equations form by utilizing appropriate similarity transformations. For numerical results, the shooting technique with 'bvp4c' built-in package of MATLAB was implemented. Computed results are then visualized graphically and discussed effects of involving physical variables on the nano-fluid flow profiles are comprehensively. From results, it has been concluded that the fluid flow velocity, temperature, concentration, and microorganism density profiles show escalation on increasing the numeric values of porosity, thermophoresis, buoyancy ratio, bioconvection Rayleigh, Peclet number parameters and decrement reported due to increasing the counts of Prandtl number, magnetic field, radiation, Brownian motion, Lewis number as evident from figures. The numerical outcomes observed by fixing the physical parameters as 0.1 < lambda < 3.0, 0.1 < M < 1.5, 0.1 < Nr < 6.0, 0.1 < Rb < 1.5, 0.1 < Nb < 6.0, 0.1 < Nt < 1.0, 2.0 < Pr < 2.9, 0.1 < Rd < 0.4 . Magnetic field and Brownian motion create retardation impact due to the liquid momentum. In tables, the numerical values of Skin friction, Nusselt number, Sherwood number, and microorganisms density number are presented and also comparison table of our computed results and already published results is included for the validation.Öğe Activation energy impact on unsteady Bio-convection nanomaterial flow over porous surface(Amer Inst Mathematical Sciences-Aims, 2022) Tahir, Madeeha; Naz, Ayesha; Imran, Muhammad; Waqas, Hasan; Akguel, Ali; Shanak, Hussein; Jarrar, RababNanofluid is an advanced technology to enhance heat transportation. Additionally, the thermal conductivity of nanofluids is high therefore, they are more useful for heat transportation. Evaluation of entropy generation has been a helpful technique for tackling improvements in thermal features because it provides information that cannot be obtained via energy analysis. For thermodynamic irreversibilities, a good approximation is the rate of entropy generation. As a result of a reduction of entropy production, energy transport infrastructure has become more efficient. This study aims to analyse the bioconvective flow of nanofluid flow through a stretching sheet in the occurence of gyrotactic motile microorganisms. A magnetised nanomaterial model with thermophoretic and Brownian diffusion properties is analysed. The impacts of activation energy, temperature dependent and exponential base heat source are investigated in this analysis. The entropy generation of the system is also observed for nanofluid flow. The mathematical model is developed as partial differential equations. The governing equations are reduced to a dimensionless system of ordinary differential equations by applying similarity transformations. The ODEs are tacked numerically with the aid of shooting scheme in commercial software MATLAB. For graphical and numerical results of flow controlling parameters versus subjective fields, the commercial software MATLAB tool bvp4 is used with the shooting scheme. The novelty of this analysis computes numerical computation of bioconvective nanofluid flow with temperature -dependent and exponential base heat source investigated. Furthermore, the consequence of thermal radiation and entropy of the system is considered. The porous medium with activation energy is also taken into consideration. The results show that the velocity field is reduced with increased bioconvection Rayleigh number. The thermal field is increased via an exponential space -based heat source. The concentration is reduced via Lewis number. the microorganisms profile declines for larger bioconvection Lewis number. The Brinkman number Br, magnetic and permeability characteristics all showed a rising trend when plotted against the entropy production rate.Öğe Analysis of Kerosene oil conveying silver and Manganese zinc ferrite nanoparticles with hybrid Nanofluid: Effects of increasing the Lorentz Force, Suction, and volume fraction(Elsevier, 2024) Farooq, Umar; Imran, Muhammad; Fatima, Nahid; Noreen, Sobia; Alhushaybari, Abdullah; Akgul, Ali; de la Sen, ManuelThe current study aims to explore the magnetic field on a spinning disk with the hybrid nanofluid flow and Cattaneo-Christov heat theory in the existence of nonlinear thermal radiation incorporating Ag and MnZnFe2O4 nanoparticles. Because silver may increase the thermal characteristics of the base material, it has a wide variety of industrial, pharmaceutical, power generation, and heating and cooling applications. The thermal properties of a hybrid nanofluid were to be found by exploring the aspect of nanomaterials on heat transfer and fluid flow. The principal partial differential equations are converted into ordinary differential equations using appropriate similarity treatments. With the aid of the shooting strategy, higher-order ordinary differential equations are converted to first-order ordinary differential equations. To present the numerical data and graphical results of the flow parameters, the built-in solver Bvp4c in the computational tool MATLAB is used. Several plots are also used to investigate the upshot of physical parameters on the graphically depicted profiles, such as the suction and injection parameter, magnetic parameter, Prandtl number, temperature ratio parameter, thermal radiation parameter, thermal relaxation parameter, and volume friction nanoparticles. For the magnetic parameter, both velocity profiles dropped, but the heat profile increased. When the temperature ratio and heat source-sink parameters were increased while the Prandtl number was decreased, the heat field increased.(c) 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/ by-nc-nd/4.0/).Öğe Brownian motion and thermophoretic diffusion impact on Darcy-Forchheimer flow of bioconvective micropolar nanofluid between double disks with Cattaneo-Christov heat flux(Elsevier, 2023) Shahzad, Arfan; Imran, Muhammad; Tahir, Madeeha; Khan, Shan Ali; Akgul, Ali; Abdullaev, Sherzod; Park, ChoonkilThe topic of fluid flow through disks is important due to a broad range of its applications in industries, engineering, and scientific fields. The objective of the current article is to analyze the bioconvective micropolar nanofluid flow between the coaxial, parallel, and radially stretching dou-ble disks in the occurrence of gyrotactic motile microorganisms with convective thermal boundary conditions. Darcy-Forchheimer medium is considered between the double disks that allow the flow horizontally with additional effects of porosity and friction. The flow is also considered under the impacts of thermal conductivity and thermal radiations. The influence of gyrotactic microorganisms is accommodated through the bioconvection, which increases the strength of thermal transporta-tion. Furthermore, the Cattaneo-Christov heat flux theory is also accounted. The flow model is trans moved into a system of ordinary differential equations (ODEs) utilizing appropriate similarity transformation functions. The bvp4c technique has been used to solve the transformed flow model. The implication of some prominent physical and bioconvection parameters on velocities, microro-tation, thermal field, volumetric concentration of nanoparticles, and microorganisms' fields are pre-sented through graphs and tabular ways. It is observed that the stretching ratio parameter of the disks accelerates the axial and micro rotational velocities of the nanofluid. In contrast, the stretch-ing Reynolds number slows down the radial velocity near the plane's center. The temperature pro-file goes high against the Brownian motion, thermal radiation, and thermal conductivity parameters, while an inverse trend has been observed for increasing magnitudes of Prandtl number. The nanoparticles concentration profile is upsurged against the thermophoresis parameter. The density profile of gyrotactic motile microorganisms is de-escalated by the Peclet number and the bioconvection Lewis number. Micropolar parameters cause an increase of couple stresses and a decrement in shear stresses. A comparison with published work is provided under certain limita-tions to test the validity of numerical scheme accuracy. (c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).Öğe Cattaneo-Christov heat flux model in radiative flow of (Fe3O4- TiO2/Transformer oil) and (Cu- TiO2/Transformer oil) magnetized hybrid nanofluids past through double rotating disks(Elsevier, 2023) Farooq, Umar; Imran, Muhammad; Fatima, Nahid; Noreen, Sobia; Tahir, Madeeha; Akgul, Ali; De la Sen, ManuelRecent progresses in nanotechnologies and nanoscience have led to the creation of hybrid nano-fluids, which are a complicated category of fluids with superior thermal features to regular nano-fluids. The current framework demonstrates the importance of a two-dimensional steady incompressible axisymmetric flow of Maxwell hybrid nanofluid over double disks with thermal radiation. This investigation analyzes a novel idea regarding the execution of the Cattaneo-Christov heat theory and melting phenomenon by considering transformer oil as a base fluid. Two dissimilar classes of hybrid nanofluid, Iron-Titanium oxide/Transformer oil (Fe3O4-TiO2/TO) and Cop-per-Titanium oxide/Transformer oil (Cu-TiO2/TO) have been taken into our research work. The main equations (PDEs)are translated into a present set of ODEs using the necessary similarity var-iables. In MATLAB, the shooting scheme is utilized to evaluate the numerical and graphical out-comes of physical flow parameters. The radial velocity rose as the volume fraction of nanoparticles increased. The radial velocity field is increased as the porosity parameter is enhanced. The tem-perature profile is decreased with increasing the values of the thermal redaction parameter. Furthermore, because of the higher compactness of the copper nanoparticles, the addition of the volume fraction of nanoparticles slows the flow profile, and because copper is an excellent conductor of heat, it raises the fluid temperature throughout the domain. The mathematical fallouts also tackle the idea of employing magnetized spinning discs in space engines and nuclear propulsion, and such a model carries useful applications in heat transfer enhancement in a wide range of in-dustrial thermal management devices and renewable energy generation systems.Öğe Characteristics of sodium alginate-based hybrid nanofluid and darcy-forchheimer flow induced by starching surface with thermal radiation and Cattaneo–Christov heat flux model(Elsevier B.V., 2024) Farooq, Umar; Maatki, Chemseddine; Kriaa, Karim; Hadrich, Bilel; Imran, Muhammad; Noreen, Sobia; Waqas, HassanIn today's industrial age, one of the most pressing challenges is to find an efficient heat transfer fluid because common fluids don't provide efficient heating and cooling in industries. This paper aims to explore the flow and heat transfer characteristics of (SWCNT-Ag/ Sodium Alginate) and (MWCNT-Cu/ Sodium Alginate) based hybrid nanofluids in the presence of Cattaneo–Christov heat flux model and thermal radiation on a surface. To achieve this, we transform the modeled partial differential equations (PDEs) into ordinary differential equations (ODEs) using suitable similarity variables. These equations are then solved using MATLAB software (bvp4c) to illustrate the influence of important controlling parameters, presented in both tabular and graphical formats. It is noted that raising the Inertia coefficient parameter leads to a drop in the velocity distribution profile of the (SWCNT-Ag/ Sodium Alginate) and (MWCNT-Cu/ Sodium Alginate) based hybrid nanofluid. Enhancing the rotation parameter of (SWCNT-Ag/ Sodium Alginate) and (MWCNT-Cu/ Sodium Alginate) based hybrid nanofluid decreases the velocity distribution profile. The increasing values of the thermal radiation parameter and Biot number increased the thermal distribution profile while the fall down for the enhancing values of the melting parameter. The convergence ranges of emerged flow parameters are listed here(0.1Öğe Comparative investigations of Ag/H2O nanofluid and Ag-CuO/H2O hybrid nanofluid with Darcy-Forchheimer flow over a curved surface(De Gruyter Poland Sp Z O O, 2023) Lu, Wenjie; Farooq, Umar; Imran, Muhammad; Chammam, Wathek; El Din, Sayed M.; Akgul, AliNanofluid performed well and produced good results in heat transport phenomena, attracting scientists to suspend other combinations of nanoparticles, called hybrid nanofluid. Hybrid nanofluids are superior than nanofluids due to their thermal capabilities and emerging benefits that contribute to the boost in the rate of heat transmission. Applications for these nanoparticles, including sophisticated lubricants, are increasing in the fields of bioengineering and electricity. The main prospective of this research is to inquire about the water-based dual nature nanofluid stream numerical simulation through the irregular stretched sheet with heat transfer. In this perspective, silver with base fluid water is used as nanoparticles for nanofluid, and for making hybrid nanofluid, copper oxide and silver particles are used with water-based fluid. Modified Fourier and Fick's model for heat flux utilized the above phenomenon and observed the heat and mass transport. Similarity variables are needed to transform the partial differential equations into associated nonlinear ordinary differential equations, which are then computationally resolved by the technique of bvp4c which is a built-in function in MATLAB mathematical software. Based on the concurrent approximations, reformations are performed to determine the impact of various quantities on flow variables. The predicted outcomes are depicted in velocity, temperature, and concentration profiles through graphical depiction. The factors indicate that the hybrid nanofluid is more powerful in the transfer of heat than a basic nanofluid because of its superior thermal characteristics. The velocity profile decays for the increasing values of Darcy-Forchheimer parameter. The thermal profile increases for the higher magnitude of Darcy-Forchheimer parameter. The velocity distribution profile increases for the higher values of curvature parameter, while the thermal profile decreases. This unique work might benefit nanotechnology and related nanocomponents. This safe size-controlled biosynthesis of Ag and CuO nanoparticles has resulted in a low-cost nanotechnology that may be used in a variety of applications. Biosynthesized Ag and CuO particles have been used successfully in a variety of applications, including biomedical, antibacterial agents, biological, food safety, and biosensing, to mention a few.Öğe Comparative study of ternary hybrid nanofluids with role of thermal radiation and Cattaneo-Christov heat flux between double rotating disks(Nature Portfolio, 2023) Noreen, Sobia; Farooq, Umar; Waqas, Hassan; Fatima, Nahid; Alqurashi, M. S.; Imran, Muhammad; Akguel, AliHeat and mass transfer are crucial to numerous technical and commercial operations, including air conditioning, machinery power collectors, crop damage, processing food, heat transfer mechanisms, and cooling, among numerous others. The fundamental purpose of this research is to use the Cattaneo-Christov heat flux model to disclose an MHD flow of ternary hybrid nanofluid through double discs. The results of a heat source and a magnetic field are therefore included in a system of PDEs that model the occurrences. These are transformed into an ODE system using similarity replacements. The first-order differential equations that emerge are then handled using the computational technique Bvp4c shooting scheme. The Bvp4c function in MATLAB is used to numerically solve the governing equations. The influence of the key important factors on velocity, temperature, nanoparticles concentration, and is illustrated visually. Furthermore, increasing the volume fraction of nanoparticles improves thermal conduction, increasing the heat transfer rate at the top disc. The graph indicates that a slight increase in melting parameter rapidly declines the velocity distribution profile of nanofluid. The temperature profile was boosted due to the growing outcomes of the Prandtl number. The increasing variations of the thermal relaxation parameter decline the thermal distribution profile. Furthermore, for some exceptional instances, the obtained numerical answers were compared to previously disclosed data, yielding a satisfactory compromise. We believe that this discovery will have far-reaching ramifications in engineering, medicine, and the field of biomedical technology. Additionally, this model can be used to examine biological mechanisms, surgical techniques, nano-pharmacological drug delivery systems, and the therapy of diseases like cholesterol using nanotechnology.Öğe Comprehensive investigations of (Au-Ag/Blood and Cu-Fe3O4/Blood) hybrid nanofluid over two rotating disks: Numerical and computational approach(Elsevier, 2023) Basit, Muhammad Abdul; Farooq, Umar; Imran, Muhammad; Fatima, Nahid; Alhushaybari, Abdullah; Noreen, Sobia; Eldin, Sayed M.The purpose of this work is to investigate the Darcy-Forchheimer flow of a hybrid nano -fluid within two parallel discs. We combine gold Au, silver Ag, copper Cu, and iron oxide Fe3O4 nanoparticles with base fluid blood in this framework. An appropriate similarity variables tech-nique is implemented to transform partial differential systems into ordinary systems. In the results validation section, the numerical result is evaluated using a higher-order precise algorithm (bvp4c), and determined to the analytical result is by making use of the firing approach. Pictorial judgments revealed the estimates of several physical variables that arise over the momentum distribution and thermal distribution profiles. As compared to nanofluid, hybrid nanofluid significantly improves heat transfer rate. The thermal profile is improved when the Brinkman number increases in value. As the porosity parameter is increased, the velocity profile decreases. As the amplitude of the rota-tion parameter increases, so does the pressure profile. The Darcy-Forchheimer medium investiga-tion of a hybrid nano-fluid streaming through the middle of two parallel disks is addressed, taking into account viscous dissipation and heat radiation for various nanoparticles. Additionally, enough agreement is observed when the numerical findings are compared to previously reported and analytical data. As compared to simple nanofluids, hybrid nanofluids have shown higher ther-mal properties and stability, making them attractive candidates for thermal applications such as solar thermal systems, automotive cooling systems, heat sinks, engineering, medical fields, or ther-mal energy storage.(c) 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).Öğe Computational framework of cobalt ferrite and silver-based hybrid nanofluid over a rotating disk and cone: a comparative study(Nature Portfolio, 2023) Farooq, Umar; Waqas, Hassan; Fatima, Nahid; Imran, Muhammad; Noreen, Sobia; Bariq, Abdul; Akgul, AliThe dominant characteristics of hybrid nanofluids, including rapid heat transfer rates, superior electrical and thermal conductivity, and low cost, have effectively piqued the interest of global researchers. The current study will look at the impacts of a silver and cobalt ferrite-based hybrid nanofluid with MHD between a revolving disk and cone. The collection of partial differentiable equations is converted into a set of ODEs via similarity transformations. We used the Homotopy analysis approach from the BVPh 2.0 package to solve the ordinary differential equations. The volume proportion of nanoparticles increases and the temperature distribution profile also increased. It is more efficient for metallurgical, medicinal, and electrical applications. Furthermore, the antibacterial capabilities of silver nanoparticles might be used to restrict the growth of bacteria. A circulating disc with a stationary cone has been identified to provide the optimal cooling of the cone disc device while maintaining the outer edge temperature constant. This study's findings might be useful in materials science and engineering. The usage of hybrid nanofluid in heat transfer and heat pumps, coolants in manufacturing and production, producing cooling, refrigerators, solar thermal collectors, and heating, air conditioning, and climate control applications are only a few examples.Öğe Mathematical analysis of heat and mass transfer efficiency of bioconvective Casson nanofluid flow through conical gap among the rotating surfaces under the influences of thermal radiation and activation energy(Elsevier B.V., 2024) Basit, Muhammad Abdul; Imran, Muhammad; Akgül, Ali; Khan Hassani, Murad; Alhushaybari, AbdullahIn the current proceeding, the flow of incompressible non-Newtonian nanofluid called Casson nanofluid is considered. A conical gap occurred among the rotating disc and the cone filled with the fluid flow. Heat and mass transport through this nanofluid is done by the convection mode of heat transfer. The impacts of microorganisms, chemical processes, thermal radiation, minimal amount of energy, and magnetic field are also considered in the mathematical model of flow problem. The Casson nano-fluid governing equations are interpreted in cylindrical coordinates. By implementing proper similarity transformations, the modeling PDEs of energy, momentum, concentration, and microorganism density are transformed into non-linear ODEs. A set of non-linear ODEs that deals with the distributions of temperature, velocity, concentration, and motile microorganisms produced by this technique. MATLAB in-built ‘bvp4c‘ technique is utilized to solve these equations. Findings are displayed graphically and elaborated theoretically. The primary goal of this work is to examine the effects during the rotation of the disc and cone as well as the impacts of other variables on the rotation. The nano-fluid temperature and radial velocity are found to be negatively impacted by the rotation parameter whereas azimuthal velocity is positively impacted. The parametric values are taken as 0.1Öğe Numerical approach toward ternary hybrid nanofluid flow with nonlinear heat source-sink and fourier heat flux model passing through a disk(Elsevier B.V., 2023) Alqawasmi, Khaled; Alharbi, Khalid Abdulkhaliq M.; Farooq, Umar; Noreen, Sobia; Imran, Muhammad; Akgül, Ali; Kanan, MohammadThe use of a ternary hybrid nanofluid, a new form of nanofluid, can improve heat movement. The current research employs a two-dimensional steady model to investigate nonlinear thermal radiation via ternary hybrid nanofluid flow across a revolving disc. The study of manganese zinc ferrite, copper, and silver nanocomposite base hybrid nanofluid across a spinning disc is gaining traction in invention and research due to its broad range of applications. To derive dimensionless forms of regulating paired nonlinear partial differential equations, a collection of pertinent similarity transformations is used. Based on the shooting method, the modified collection of ODEs is then analytically solved by bvp4c via the computational tool MATLAB. Furthermore, as the magnetic parameter values are reduced, the fluid velocity declines while the fluid temperature grows over a spinning disc. For larger levels, the temperature of the distribution and the radiant heat component rises. The ternary composite nanofluid has the largest impact on the surface. Furthermore, compared to the hybrid and based nanofluids, the heat generation rate of the ternary nanofluid combination is the higher transmission. The significance of Ag nanoparticles in the food industry is because of their anti-bacterial and anti-fungicidal properties, silver (Ag) is widely used in everyday products such as fabrics, pastes, polymers, food, and detergents. Manganese zinc ferrites (MnZnFe2O4) have recently piqued the interest of material science researchers due to their broad variety of applications. They are extensively used in energy storage devices, catalysts, adsorbents, sensing and imaging, therapeutic action, and other applications. © 2023 The Author(s)Öğe Numerical framework of hybrid nanofluid over two horizontal parallel plates with non-linear thermal radiation(Elsevier B.V., 2023) Farooq, Umar; Waqas, Hassan; Noreen, Sobia; Imran, Muhammad; Akgül, Ali; Baleanu, Dumitru; Din, Sayed M.ElSignificance of study: High combustion temperatures necessitate appropriate cooling systems in the combustion process. Regenerative cooling is used in the majority of chambers in liquid propellant engines. The addition of nanoparticles to the cooling fluid is a novel technique to increase the efficiency of heat transfer in the regenerative cooling process. Aim of the study: In this investigation, we investigate the two-dimensional flow of the hybrid nanofluid with suction/injection effect over two horizontal parallel plates. The non-linear thermal radiation effect is measured in the model of a hybrid nanofluid. Here we use single-walled carbon nanotubes, multi-walled carbon nanotubes, nickel-zinc iron oxide, and manganese zinc iron oxide with base fluid engine oil. The effects of different shape factors (Sphere, Bricks, Cylinder, Platelets, Column, and Lamina)are also incorporated. Research methodology: Using appropriate similarity transformations, the controlling partial differential equations are transformed into ordinary differential equations. Using the shooting strategy, the transformed higher-order ordinary differential equations are converted to first-order ordinary differential equations, and the Bvp4c built-in function in MATLAB is used to produce the numerical and graphical results of the flow parameter. Conclusion: The velocity profile is decreased by the increasing values of the suction/injection parameter. The temperature distribution profile declined for the higher values of the temperature ratio parameter. The combination of nickel zinc iron oxide and carbon nanotube nanomaterials to engine oil as a cooling fluid enhanced the heat transfer coefficient. According to the findings, carbon nanotubes outperform nickel zinc iron oxide nanoparticles in terms of increasing heat transfer coefficient and improving regenerative cooling. © 2023 The Author(s)Öğe Numerical simulation of bioconvective Casson nanofluid through an exponentially permeable stretching surface(World Scientific Publ Co Pte Ltd, 2024) Basit, M. A.; Tahir, Madeeha; Riasat, Ayesha; Khan, S. A.; Imran, Muhammad; Akguel, AliNanofluids are a very productive etymology of intensifying the process of heat and mass transport systems linked with the industrial and thermal engineering systems. Nanomaterials have effective thermal properties and various applications in our daily life like in heat transfer, electronic cooling systems, energy production and biomedicine and also in the food industry. Keeping the entire motivating potential ramifications of nanoparticles in mind, this work is visualized in the mathematical model developed to show the heat and mass transport behavior of swimming motile organisms in the existence of the magnetic field, heat conduction source, thermal radiation, chemical processes and viscous dissipation. The flow of mass and heat transport under consideration is governed by nonlinear partial differential equations (PDEs) transformed into ordinary differential equations (ODEs) by implementing an eminent method called similarity transform and then numerical results obtained through MATLAB inbuilt package 'bvp4c'. Numerical solution is visualized through the comparison of Casson fluid results with Newtonian fluid. The impact of numerous nondimensional parameters of temperature, heat transfer, velocity and concentration profiles involved in governing equations is debated and visualized graphically. Furthermore, the effects of parameters and local Nusselt number, motile organism's number, Biot number, Sherwood number, thermal radiation and microorganism concentration are elaborated through graphical representation. From these results, we clearly see that the velocity profile shows a decrement by raising the values of Buoyancy ratio Nr and Bioconvection Rayleigh number Nc, thermal profile depicted propagation by incrementing the values of Biot and radiation variables, concentration profile decreases by incrementing Lewis parameter Le and microorganisms profile revealed an increase and decrease by the presence of magnetic M and bioconvection Lewis variable Lb, respectively.Öğe Numerical solution of Maxwell-Sutterby nanofluid flow inside a stretching sheet with thermal radiation, exponential heat source/sink, and bioconvection(Elsevier B.V., 2023) Alharbi, Khalid Abdulkhaliq M.; Farooq, Umar; Waqas, Hassan; Imran, Muhammad; Noreen, Sobia; Akgül, Ali; Baleanu, DumitruA Survey of literature illustrates that nano liquid is further helpful for heat transportation as compared to regular liquid. Nonetheless, there are considerable gaps in our understanding of existing approaches for enhancing heat transmission in nanofluids, necessitating comprehensive research of these fluids. The current approach proposes to investigate the influence of a Maxwell-Sutterby nanofluid on a sheet while accounting for heat radiation. This paper investigates activation energy, and exponential heat source/sink. Bioconvection and motile microorganisms with Brownian motion and thermophoresis effects are considered.y linked similarity transformations, the boundary layer set of controlling partial differential equations are transformed into ordinary differential equations. A numerical strategy (shooting technique) is used to handle the transformed system of ordinary differential equations through the Bvp4c solver of the computing tool MATLAB. The results for velocity and temperature, concentration, and motile microbe profiles are numerically and graphically examined for various parameters. The velocity distribution profile decreased as the magnetic parameter varied, but increased when the mixed convection parameter increased in magnitude. The heat flux profile is improved with higher estimations of the Biot number and thermophoresis parameter. When the Prandtl number and the Brownian motion parameter's values rise, the energy profile falls. When the Peclet number and bioconvection Lewis number increased, the profile of mobile microorganisms dropped. © 2023Öğe On topological indices of certain families of graphs(Iop Publishing Ltd, 2025) Imran, Muhammad; Farahani, Muhammad Reza; Cancan, Murat; Alaeiyan, Mehdi; Akguel, AliThe aim of this paper is to compute topological indices such as general randic index, general sumconnectivity index, atom bond connectivity index, geometric arithmetic index, forgotten index,firstzagreb index, second zagreb index,first multiple zagreb index, second multiple zagreb index and hyperzagreb index of different families of graphs.Öğe Recent progress in Cattaneo-Christov heat and mass fluxes for bioconvectional Carreau nanofluid with motile microorganisms and activation energy passing through a nonlinear stretching cylinder(Elsevier, 2024) Farooq, Umar; Basit, Muhammad Abdul; Noreen, Sobia; Fatima, Nahid; Alhushaybari, Abdullah; El Din, Sayed M.; Imran, MuhammadAims: In the current study, the flow of Carreau nano-fluid through the stretched cylinder is subject to the influences of activation energy and heat source/sink with the Cattaneo-Christov heat fluxes model studied. Applications in recent times are the purpose of better heat and mass transport nanoparticles used for this purpose because of their better thermal conductivity than normal fluids. Nanofluids are used in medicines like agricultural sprays and with time it is used in the microprocessor for cooling and also used in the refrigeration industry as coolant. Methodology: The mathematical model was developed by taking these things into account and getting a model of nonlinear partial differential equations for administering this problem. These governing equations system modified into a system of ODE by utilizing appropriate similarity transform. For numerical computation or simulation, the 'bvp4c' built-in package of MATLAB is used to implement the shooting technique. Smooth implementation took place by introducing a set of variables to make our system dimensionless. Results/Conclusion: Graphical representation depicts the profiles of concentration, velocity, thermal, and microorganism density, and the impacts of various modeling quantities on these profiles are also discussed and elaborated. In tabular analysis, a contrast of computed outcomes with the previously available outcomes shows the accuracy of our computed results at different values of physical parameters. The presence of motile microorganisms improved the heat transfer rate. (c) 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/ by-nc-nd/4.0/).Öğe Thermal radiative mixed convection flow of MHD Maxwell nanofluid: Implementation of buongiorno's model(Elsevier, 2022) Safdar, Rabia; Jawad, Muhammad; Hussain, Sajjad; Imran, Muhammad; Akgul, Ali; Jamshed, WasimA mathematical model for steady MHD Maxwell nanofluid flow over the porous stretching sheet with gyrotactic microorganisms is discussed theoretically and numerically. We use the theory of the microorganism to stabilize the suspended nanoparticles, due to bio convection, induced by the impacts of buoyancy forces. Similarity transformations used to transform the mathematical PDEs of non-linear nature i.e., continuity equation, velocity, concentration, density, and energy of motile micro-organisms into the system of non-linear ordinary differential equations. Mathematica 11used to acquire the solutions for the mathematical model. Boundary conditions together with non-zero value of mass flux is imposed on the given problem. Valuations are performed graphically for several protuberant parameters like Hartman number, bio convection, Peclet number, Deborah number, thermophoresis diffusion, Rayleigh number, Brownian motion, and mixed convection parameters. These different parameters are employed on non-dimension velocity function, temperature function, concentration function and density of the motile microorganisms and studied numerically in detail. It is observed that by increasing the value of bioconvection parameter as well as Peclet number, the microorganism field diminishes. Graphical diagrams are showing the consistency of the latest results.