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Öğe Analysis of respiratory mechanics models with different kernels(De Gruyter Poland Sp Z O O, 2022) Akgul, Esra Karatas; Akgul, Ali; Jamshed, Wasim; Rehman, Zulfiqar; Nisar, Kottakkaran Sooppy; Alqahtani, Mohammed S.; Abbas, MohamedIn this article, we investigate the mechanics of breathing performed by a ventilator with different kernels by an effective integral transform. We mainly obtain the solutions of the fractional respiratory mechanics model. Our goal is to give the underlying model flexibly by making use of the advantages of the non-integer order operators. The big advantage of fractional derivatives is that we can formulate models describing much better the systems with memory effects. Fractional operators with different memories are related to different types of relaxation process of the non-local dynamical systems. Additionally, since we consider the utilisation of different kinds of fractional derivatives, most often having benefit in the implementation, the similarities and differences can be obviously seen between these derivatives.Öğe Computational examination of Jeffrey nanofluid through a stretchable surface employing Tiwari and Das model(De Gruyter Poland Sp Z O O, 2021) Shahzad, Faisal; Jamshed, Wasim; Koulali, Aimad; Aissa, Abederrahmane; Safdar, Rabia; Akgul, Esra Karatas; Ibrahim, Rabha W.In this research, we analyze the magnetohydrodynamics heat act of a viscous incompressible Jeffrey nanoliquid, which passed in the neighborhood of a linearly extending foil. As a process, we employ alumina (Al2O3) as nanoparticles, assuming that the base fluid is ethylene glycol. In this involvement, we consider the heating by Joule effect and viscous dissipation. We select the passable transformations, motion, and temperature formulas converting into non-linear differential equation arrangement. We solved the system by using a Keller-box method. Then, we provide a graphical description of outcomes according to the selected control parameters. Higher values of dissipation parameter cause a surge in temperature field as well as strengthen width of the heat boundary layer. The velocity, drag coefficient, and heat transfer (HT) rate for the base fluid are comparatively greater than that of the Al2O3-ethylene glycol nanofluid, although the temperature is embellished by the inclusion of nanoparticles. Moreover, we report depreciation in surface drag as well as HT by the virtue of amplification in the Deborah number. The proclaimed outcomes are advantageous to boost the incandescent light bulb's, cooling and heating processes, filament emitting light, energy generation, multiple heating devices, etc.Öğe COMPUTATIONAL SOLUTIONS OF FRACTIONAL ELECTRIC SYMMETRIC CIRCUITS BY SUMUDU TRANSFORMATION(World Scientific Publ Co Pte Ltd, 2023) Akgul, Esra Karatas; Jamshed, Wasim; Abdullaev, Sherzod Shukhratovich; Belgacem, Fethi Bin Muhammed; El Din, Sayed M.In this research, we study the Caputo fractional and constant proportional derivative numerical approximation of electrical symmetric circuits. It has been assumed that the derivative is in the order 0 <= sigma <= 1. For the fractional electrical symmetric circuits, the RC, LC, and RLC solutions are obtained by using the Sumudu transformation. We also compare the numerical simulation of each equation to its classical equivalent. We use a highly efficient integral transform to examine the impact of the power-law kernel. In our upcoming works, we will apply this to electrical circuits that are more intricate.Öğe Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study(Hindawi Ltd, 2021) Anwar, Rabia; Ghamkhar, Madiha; Khan, Muhammad Imran; Safdar, Rabia; Iqbal, Muhammad Zafar; Jamshed, Wasim; Akgul, Esra KaratasCylindrical shells play an important role for the construction of functionally graded materials (FGMs). Functionally graded materials are valuable in order to develop durable materials. They are made of two or more materials such as nickel, stainless steel, zirconia, and alumina. They are extremely beneficial for the manufacturing of structural elements. Functionally graded materials are broadly used in several fields such as chemistry, biomedicine, optics, and electronics. In the present research, vibrations of natural frequencies are investigated for different layered cylindrical shells, those constructed from FGMs. The behavior of shell vibration is based on different parameters of geometrical material. The problem of the shell is expressed from the constitutive relations of strain and stress with displacement, as well as it is adopted from Love's shell theory. Vibrations of natural frequencies (NFs) are calculated for simply supported-simply supported (SS-SS) and clamped-free (C-F) edge conditions. The Rayleigh-Ritz technique is employed to obtain the shell frequency equation. The shell equation is solved by MATLAB software.Öğe Impact of gold nanoparticles along with Maxwell velocity and Smoluchowski temperature slip boundary conditions on fluid flow: Sutterby model(Elsevier, 2022) Sajid, Tanveer; Jamshed, Wasim; Shahzad, Faisal; Akgul, Esra Karatas; Nisar, Kottakkaran Sooppy; Eid, Mohamed R.Communication is structured to develop a novel three dimensional mathematical model regarding rotating Sutterby fluid flow subjected to a slippery expandable sheet. The heat transfer analysis has been carried out with the inclusion of effects like gold nanoparticles and thermal radiation. The mass transfer regarding the concentration of the fluid has been analysed with the utilization of the activation energy effect. Maxwell velocity and Smoluchowksi temperature slip boundary conditions have been employed. The mathematically modelled partial differential equations (PDEs) regarding momentum, energy, and concentration step down into ordinary differential equations (ODEs) with the utilization of suitable transformation. Matlab built-in bvp4c numerical scheme has been used to handle dimensionless ODEs. The physical quantities like surface drag coefficient, heat transfer as well as mass transfer in the case of variation in various sundry parameters are numerically computed and displayed in the form of tables and figures. The temperature field amplifies by the virtue of augmentation in gold nanoparticles volume fraction and an increment in activation energy booms the mass fraction field. It is observed that the presence of the thermal radiation parameter enhances the heat transfer rate 17.2% and mass transfer booms 62.1% in the case reaction rate constant.Öğe Keller box study for inclined magnetically driven Casson nanofluid over a stretching sheet: single phase model(Iop Publishing Ltd, 2021) Jamshed, Wasim; Karatas Akgul, Esra; Sooppy Nisar, KottakkaranThe current analysis signifies the Casson nanofluid stream with inclined magnetohydrodynamics, viscous dissipation, joule heating, thermal radiation, particle shape factor effects over a moving flat horizontal surface with entropy analysis. This study presents a novel idea regarding the implementation of Tiwari and Das model on Casson fluid model by considering ethylene glycol as a base fluid. Tiwari and Das model considers nanoparticles volume fraction for heat transfer enhancement instead of the Buongiorno model which heavily relies on thermophoresis and Brownian diffusion effects for heat transfer analysis. The velocity slip and convective slip boundary conditions have been employed at the surface of the sheet. By utilizing the suitable transformations, the modeled PDEs (partial-differential equations) are renewed in ODEs (ordinary-differential equations) and treated these equations numerically with the help of classical Keller box method. Two different classes of nanofluids, Copper-Ethylene Glycol (Cu - EG) and Molybdenum Disulfide-Ethylene Glycol (MoS2- EG) have been taken into considering for our analysis. The behaviour of surface drag coefficient and Nusselt number for the varied values of various sundry parameters is designed via tables. Our findings show that an increase in the Reynolds and Brinkman numbers increased the overall entropy of the system.Öğe Mechanical improvement in solar aircraft by using tangent hyperbolic single-phase nanofluid(Sage Publications Ltd, 2021) Hussain, Syed M.; Jamshed, Wasim; Akgul, Esra Karatas; Nasir, Nor Ain Azeany MohdSolar power is the primary thermal energy source from the sunlight. This research has carried out the study of solar aircraft with solar radiation in enhancing efficiency. The thermal transfer inside the solar aircraft wings using a nanofluid past a parabolic surface trough collector (PTSC) is investigated thoroughly. The source of heat is regarded as solar radiation. For several impacts, such as porous medium, thermal radiation, and varying heat conductivity, the heat transmission performance of the wings is examined. By using the tangent hyperbolic nanofluid (THNF), the entropy analysis has been performed. The modeled momentum and energy equations are managed using the well-established numerical methodology known as the finite difference method. Two distinct kinds of nano solid-particles have been examined, such as Copper (Cu) and Zirconium dioxide (ZrO2), while Engine Oil (EO) being regarded as a based fluid. Different diagram parameters will be reviewed and revealed as figures and tables on speed, shear stress, temperature, and the surface drag coefficient and Nuselt number. It is observed that in terms of heat transfer for amplification of thermal radiation and changeable thermal conductance parameters, the performance of the aircraft wings raises. In contrast to traditional fluid, nanofluid is the best source of heat transmission. Cu-EO's thermal efficiency over ZrO2-EG falls to the minimum level of 12.6% and has reached a peak of 15.3%.Öğe Micropolar fluid past a convectively heated surface embedded with nth order chemical reaction and heat source/sink(Iop Publishing Ltd, 2021) Sajid, Tanveer; Jamshed, Wasim; Shahzad, Faisal; Eid, Mohamed R.; Alshehri, Hashim M.; Goodarzi, Marjan; Karatas Akgul, EsraThe objective of the present article is to investigate an incompressible micropolar Prandtl fluid flowing over a porous stretching sheet with the inclusion of effects like exponential temperature-dependent heat source, higher-order chemical reaction viscous dissipation, nonlinear thermal radiation, and multiple convective surface boundary conditions. The nonlinear partial differential equations (PDEs) for momentum, energy, micro-rotation, and concentration are discussed. These PDEs are converted into ordinary differential equations (ODEs) by utilizing suitable variables and then tackled with the utilization of the nonlinear shooting method. For the numerical assessment of upcoming results comparison with already existing literature has been taken. It is canvassed that by augmenting the microrotation parameter, a boost in the angular velocity profile is seen. Moreover, The higher order of reactivity upsurges the heat transmission rate, whilst the mass convection enhances the concentration size. This gives the current model potency as a potential application in clean engine lubricants and coolant industrial liquids under the same constraints.Öğe Numerical investigation of generalized perturbed Zakharov-Kuznetsov equation of fractional order in dusty plasma(Taylor & Francis Ltd, 2022) Ali, Nasir; Nawaz, Rashid; Zada, Laiq; Nisar, Kottakkaran Sooppy; Ali, Zahid; Jamshed, Wasim; Hussain, Syed M.In the present work, the new iterative method with a combination of the Laplace transform of the Caputo's fractional derivative has been applied to the generalized (3 + 1) dimensional fractional perturbed Zakharov-Kuznetsov equation in a dusty plasma. The proposed method is applied without any discretization and linearization. The numerical and graphical results show the accuracy of the proposed method for nonlinear differential equations. Moreover, the methods are easy to implement and give the efficient approximate solutions.Öğe On solutions of gross domestic product model with different kernels(Elsevier, 2022) Akgul, Esra Karatas; Jamshed, Wasim; Nisar, Kottakkaran Sooppy; Elagan, S. K.; Alshehri, Nawal A.In this paper, we investigate gross domestic product model with four different fractional derivatives. We find the solutions of fractional models by utilizing Sumudu transform. We prove the efficiency of the Sumudu transform by some theoretic outcomes and applications. We demonstrate the simulations by some figures. We show the agreement of different fractional derivatives on the model. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.Öğe Sumudu Transform for Some Implementations with a New Kernel(Natural Sciences Publishing, 2023) Akgul, Esra Karatas; Akgul, Ali; Jamshed, Wasim; Al Bayatti, HilalIn this essay, we examine real practical problems’ Sumudu transform solutions. We take into account the economic models that rely on a constant proportionate Caputo derivative and market equilibrium. By using intriguing implementations, we demonstrate the Sumudu transform’s precision and strength. © 2023 NSP Natural Sciences Publishing Cor.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.
