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Öğe A numerical study of heat and mass transfer characteristic of three-dimensional thermally radiated bi-directional slip flow over a permeable stretching surface(Nature Portfolio, 2024) Ullah, Hakeem; Abas, Syed Arshad; Fiza, Mehreen; Khan, Ilyas; Rahimzai, Ariana Abdul; Akgul, AliWithin fluid mechanics, the flow of hybrid nanofluids over a stretching surface has been extensively researched due to their influence on the flow and heat transfer properties. Expanding on this concept by introducing porous media, the current study explore the flow and heat and mass transport characteristics of hybrid nanofluid. This investigation includes the effect of magnetohydrodynamic (MHD) with chemical reaction, thermal radiation, and slip effects. The nanoparticles, copper, and alumina are combined with water for the formation of a hybrid nanofluid. Using the self-similar method for the reduction of Partial differential equations (PDEs) to the system of Ordinary differential equations (ODEs). These nonlinear equation systems are solved numerically using the bvp4c (boundary value solver) technique. The effect of the different physical non-dimensional flow parameters on different flow profiles such as velocity, temperature, concentration, skin friction, Nusselt and mass transfer rate are depicted through graphs and tables. The velocity profiles diminish with the effect of magnetic and slip parameters. The temperature and concentration slip parameters reduce the temperature and concentration profile respectively. The higher values of magnetic factor lessened the skin friction coefficient for both slip and no-slip conditions. An elevation in the thermal slip parameter reduced the boundary layer thickness and the heat transfer from the surface to the fluid. The Nusselt number amplified with the climbing values of the radiation parameter. The mass transfer rate depressed with the solutal slip parameter. Comparison is made with the published work in the literature and there is excellent agreement between them.Öğe INTELLIGENT COMPUTING PARADIGM FOR SECOND-GRADE FLUID IN A ROTATING FRAME IN A FRACTAL POROUS MEDIUM(World Scientific Publ Co Pte Ltd, 2023) Kanan, Mohammad; Ullah, Habib; Raja, Muhammad Asif Zahoor; Fiza, Mehreen; Ullah, Hakeem; Shoaib, Muhammad; Akgul, AliThe numerical methods such as the artificial neural networks with greater probability and nonlinear configurations are more suitable for estimation and modeling of the problem parameters. The numerical methods are easy to use in applications as these methods do not require costly and time-consuming tests like the experimental study. In this study, we use the Levenberg-Marquardt-based backpropagation Process (LMP) to create a computing paradigm that makes use of the strength of artificial neural networks (ANN), known as (ANN-LMP). Here we use the ANN-LMP to obtain the solution of the second-grade fluid in a rotating frame in a porous material with the impact of a transverse magnetic field. The 1000 data set points in the interval [0, 1] are used for the network training to determine the effect of various physical parameters of the flow problem under consideration. The experiment is executed of six scenarios with different physical paramaters. ANN-LMP is used for evaluating the mean square errors (MSE), training (TR), validation (VL), testing (TT), performance (PF) and fitting (FT) of the data. The problem has been verified by error histograms (EH) and regression (RG) measurements, which show high consistency with observed solutions with accuracy ranging from E-5 to E-8. Characteristics of various concerned parameters on the velocity and temperature profiles are studied.Öğe Two-dimensional MHD boundary layer flow of a ternary hybrid nanofluid across a stretching sheet with inclined MHD: Numerical approach(Wiley-V C H Verlag Gmbh, 2024) Fiza, Mehreen; Abas, Syed Arshad; Ullah, Hakeem; Akgul, Ali; Aljohani, Abdulrahman F.; Khan, IlyasIncreasing the efficiency of a thermal system is important in a wide variety of technological contexts, such as vehicle cooling systems, power production, microelectronics, heat exchangers, and air conditioning. The current study examines a boundary layer two-dimensional inclined magnetohydrodynamic flow of a ternary hybrid nanofluid across a stretching sheet that includes MgO,TiO2,andCoFe2O4${\mathrm{MgO}}, {\mathrm{TiO}}_{\mathrm{2}}, {\mathrm{and}}\ {\mathrm{CoFe}}_{\mathrm{2}}{{\mathrm{O}}}_{\mathrm{4}}$ nanoparticles. These nanoparticles are combined with water as the base fluid to form a ternary hybrid nanofluid. The present work aims to analyze the impact of several slip conditions utilizing Arrhenius' activation energy along with the binary chemical reaction on the flow profiles. To characterize the model, a system of partial differential equations (PDEs) is utilized. With the assistance of similarity transformations, the given PDEs of the form are converted into ordinary differential equations. The leading equations are subjected to boundary layer theory, and then the system is numerically tackled with the help of the built-in numerical approach bvp4c. Results obtained from this numerical solution are presented in graphs and tables which are discussed briefly. The results indicate that there is a downward trend in the velocity profile if the enhancement occurs in both the velocity slip and the magnetic component. A lower temperature is achieved through the use of the temperature slip parameters. In addition, it turned out that a rise in the Eckert number caused an upswing in the surface temperature of a sheet. The activation energy escalates the concentration profile, while the Schmidt number and chemical reaction rate both are falls. The Sherwood number improved when the values of Brownian motion and thermophoresis factors enlarged while the local Nusselt number became lower.