This study employs the Buongiorno model to explore nanoparticle migration in a mixed convection second-grade fluid over a slendering(variable thickness)stretching sheet.The convective boundary conditions are applied t...This study employs the Buongiorno model to explore nanoparticle migration in a mixed convection second-grade fluid over a slendering(variable thickness)stretching sheet.The convective boundary conditions are applied to the surface.In addition,the analysis has been carried out in the presence of Joule heating,slips effects,thermal radiation,heat generation and magnetohydrodynamic.This study aimed to understand the complex dynamics of these nanofluids under various external influences.The governing model has been developed using the flow assumptions such as boundary layer approximations in terms of partial differential equations.Governing partial differential equations are first reduced into ordinary differential equations and then numerically solved using the Runge-Kutta-Fehlberg method(RK4)in conjunction with a shooting scheme.Our results indicate significant increases in Nusselt and Sherwood numbers by up to 14.6%and 23.2%,respectively,primarily due to increases in the Brownian motion parameter and thermophoresis parameter.Additionally,increases in the magnetic field parameter led to a decrease in skin friction coefficients by 37.5%.These results provide critical insights into optimizing industrial processes such as chemical production,automotive cooling systems,and energy generation,where efficient heat andmass transfer are crucial.Buongiornomodel;velocity-slip effects;Joule heating;convective boundary conditions;Runge-Kutta-Fehlberg method(RK4).展开更多
This article investigates the unsteady magnetohydrodynamic(MHD)boundary layer flow and heat transfer characteristics of a Sisko non-Newtonian fluid subjected to natural convection and thermal radiation effects.To accu...This article investigates the unsteady magnetohydrodynamic(MHD)boundary layer flow and heat transfer characteristics of a Sisko non-Newtonian fluid subjected to natural convection and thermal radiation effects.To accurately capture the hereditary and memorydependent behavior of the fluid,a distributed-order time fractional model is introduced into the governing equations.The classical Cattaneo heat conduction model is generalized using distributed fractional derivatives to address non-Fourier heat transport phenomena.The flow configuration is considered a vertical plate in a thermally stratified environment with an applied transverse magnetic field and radiative heat flux.The governing coupled non-linear partial differential equations,including momentum and energy equations,are transformed into non-dimensional form and solved numerically using the finite difference method integrated with the L1 approximation scheme for distributed-order derivatives.A comprehensive parametric analysis is conducted to assess the influence of the magnetic field,radiation parameter,distributed fractional orders,and Sisko fluid index on the velocity and temperature profiles.The results demonstrate that increasing the magnetic field strength and fractional-order parameters leads to a suppression of the fluid velocity due to enhanced Lorentz forces and memory effects,while thermal radiation promotes heat transfer within the boundary layer.The study provides new insights into the thermal and flow behavior of Sisko fluids in electrically conducting and radiative environments,relevant to industrial processes involving polymeric fluids,biomedical applications,and thermal management systems.展开更多
文摘This study employs the Buongiorno model to explore nanoparticle migration in a mixed convection second-grade fluid over a slendering(variable thickness)stretching sheet.The convective boundary conditions are applied to the surface.In addition,the analysis has been carried out in the presence of Joule heating,slips effects,thermal radiation,heat generation and magnetohydrodynamic.This study aimed to understand the complex dynamics of these nanofluids under various external influences.The governing model has been developed using the flow assumptions such as boundary layer approximations in terms of partial differential equations.Governing partial differential equations are first reduced into ordinary differential equations and then numerically solved using the Runge-Kutta-Fehlberg method(RK4)in conjunction with a shooting scheme.Our results indicate significant increases in Nusselt and Sherwood numbers by up to 14.6%and 23.2%,respectively,primarily due to increases in the Brownian motion parameter and thermophoresis parameter.Additionally,increases in the magnetic field parameter led to a decrease in skin friction coefficients by 37.5%.These results provide critical insights into optimizing industrial processes such as chemical production,automotive cooling systems,and energy generation,where efficient heat andmass transfer are crucial.Buongiornomodel;velocity-slip effects;Joule heating;convective boundary conditions;Runge-Kutta-Fehlberg method(RK4).
文摘This article investigates the unsteady magnetohydrodynamic(MHD)boundary layer flow and heat transfer characteristics of a Sisko non-Newtonian fluid subjected to natural convection and thermal radiation effects.To accurately capture the hereditary and memorydependent behavior of the fluid,a distributed-order time fractional model is introduced into the governing equations.The classical Cattaneo heat conduction model is generalized using distributed fractional derivatives to address non-Fourier heat transport phenomena.The flow configuration is considered a vertical plate in a thermally stratified environment with an applied transverse magnetic field and radiative heat flux.The governing coupled non-linear partial differential equations,including momentum and energy equations,are transformed into non-dimensional form and solved numerically using the finite difference method integrated with the L1 approximation scheme for distributed-order derivatives.A comprehensive parametric analysis is conducted to assess the influence of the magnetic field,radiation parameter,distributed fractional orders,and Sisko fluid index on the velocity and temperature profiles.The results demonstrate that increasing the magnetic field strength and fractional-order parameters leads to a suppression of the fluid velocity due to enhanced Lorentz forces and memory effects,while thermal radiation promotes heat transfer within the boundary layer.The study provides new insights into the thermal and flow behavior of Sisko fluids in electrically conducting and radiative environments,relevant to industrial processes involving polymeric fluids,biomedical applications,and thermal management systems.
