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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 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 Effects of Non-Linear Thermal Radiation and Chemical Reaction on Time Dependent Flow of Williamson Nanofluid With Combine Electrical MHD and Activation Energy(Shahid Chamran Univ Ahvaz, Iran, 2021) Danish, Gulzar Ahmad; Imran, M.; Tahir, Madeeha; Waqas, Hassan; Asjad, M., I; Akgul, Ali; Baleanu, DumitruThe current article will present the impact of the heat and mass transfer of combine electrical MHD flow of time dependent Williamson fluid with nanoparticles by the incorporating the influences of non-linear thermal radiation and the chemical reaction through wedge shape geometry. The fluid flows past a porous stretching wedge with convected Nield boundary conditions. The several (geometrical and physical) conditions have been included to provide more practicable results. The effects of activation energy further discussed. Due to relevant similarity transformation, set of partial differential equations which is non-linear and complicated is converted into simplest system of ordinary differential equations. To obtain the desired solution, famous numerical technique (shooting) used with the help of bvp4c MATLAB coding. The variation physical quantities namely velocity, temperature, concentration of nanoparticles, local Sherwood number, coefficient of skin friction and local Nusselt number have been observed under the influence of emerging parameters. The elaborated discussion presented with graphical and tabular illustrations.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 Unsteady flow of fractional Burgers' fluid in a rotating annulus region with power law kernel(Elsevier, 2022) Javaid, Maria; Tahir, Madeeha; Imran, Muhammad; Baleanu, Dumitru; Akgul, Ali; Imran, Muhammad AsjadKeeping in view of the complex fluid mechanics in bio-medicine and engineering, the Burgers' fluid with a fractional derivatives model analyzed through a rotating annulus. The governing partial differential equation solved for velocity field and shear stress by using integral transformation method and using Bessel equations. The transformed equation inverted numerically by using Gaver-Stehfest's algorithm. The approximate analytical solution for rotational velocity, and shear stress are presented. The influence of various parameters like fractional parameters, relaxation and retardation time parameters material constants, time and viscosity parameters are drawn numerically. It is found that the relaxation time and time helps the flow pattern, on the other hand other material constants resist the fluid rotation. Fractional parameters effect on fluid flow is opposite to each other. Finally, to check the validity of the solution there are comparisons for velocity field and shear stress for obtained results with an other numerical algorithm named Tzou's algorithm. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.