This article studies the Soret and Dufour effects on the magnetohydrody- namic （MHD） flow of the Casson fluid over a stretched surface. The relevant equations are first derived, and the series solution is constructe...This article studies the Soret and Dufour effects on the magnetohydrody- namic （MHD） flow of the Casson fluid over a stretched surface. The relevant equations are first derived, and the series solution is constructed by the homotopic procedure. The results for velocities, temperature, and concentration fields are displayed and discussed. Numerical values of the skin friction coefficient, the Nusselt number, and the Sherwood number for different values of physical parameters are constructed and analyzed. The convergence of the series solutions is examined.展开更多
This study employs numerical and statistical approaches to investigate the entropy optimization of steady Casson nanofluidflow over three different geometries subject to boundary conditions induced by convectiveflow.M...This study employs numerical and statistical approaches to investigate the entropy optimization of steady Casson nanofluidflow over three different geometries subject to boundary conditions induced by convectiveflow.Multiple linear regression is employed to statistically examine.The present model incorporates several novel elements,such as Arrhenius activation energy,Brownian motion,the Cattaneo-Christov dualflux,thermophoresis,thermal radiation,and so on.Moreover,a comparison is presented between Newtonian and non-Newtonianfluids.By applying the proper similarity transformations,ordinary differential equations(ODEs)are ob-tained by converting foundational partial differential equations(PDEs).The Runge-Kutta fourth-order method is utilised to solve the obtained ODEs along with the shooting technique.The out-comes are visually depicted via tables and graphs.The velocity drops with increasing Grashof number,and the magneticfield becomes progressively more forceful as the suction parameter in-creases.The temperature gets reduced with the increase of the suction parameter,solute Grashof number increases with the magneticfield,thermophoresis,and radiation parameters.The entropy is observed to rise with the increase of the effective parameters(magneticfield,Brinkmann num-ber and radiation).The MAD(mean absolute deviation),MSE(mean squared error),and RMSE(root mean square error)values are approaching zero,indicating that the derived outcomes are highly accurate.A lower MAPE(mean absolute percentage error)suggests that the model has a higher level of precision.Therefore,the outcomes of the present model are more precise and reliable.This study has various potential applications such as power plant heat exchangers,material processing industries,and solar thermal energy systems.展开更多
This study examines the effect of heat production and radiation absorption on the magnetohydrodynamic Cassonfluidflow at the stagnation point in a porous medium.We convert the group offluidflow equations,which are non...This study examines the effect of heat production and radiation absorption on the magnetohydrodynamic Cassonfluidflow at the stagnation point in a porous medium.We convert the group offluidflow equations,which are non-linear partial differential equations with suitable boundary constraints,into a set of non-linear ordinary differential equations using similarity transformations.The homotopy analysis method(HAM)solves the converted system of ordinary differential equations.We draw graphs for numerous values of non-dimensional pa-rameters and tables of surface drag force,rates of heat transfer,and mass transfer to analyze the relationship between velocityfield,temperaturefield,concentrationfield,and other essential parameters involved in the study.We have proven that the Dufour number,radiation parameter,and heat generation parameter elevate thefluid temperature,whereas the magnetic parameter lowers it.The Cassonfluid parameter,buoyancy force parameter,and mixed convection param-eter all promotefluid movement throughout theflowfield.The presented tabular data allows us to see the trend of heat and mass transfer rates,as well as drag force rates,against important parameters,enhancing our understanding of these rates.展开更多
基金supported by the Deanship of Scientific Research (DSR) of King Abdulaziz University of Saudi Arabia
文摘This article studies the Soret and Dufour effects on the magnetohydrody- namic （MHD） flow of the Casson fluid over a stretched surface. The relevant equations are first derived, and the series solution is constructed by the homotopic procedure. The results for velocities, temperature, and concentration fields are displayed and discussed. Numerical values of the skin friction coefficient, the Nusselt number, and the Sherwood number for different values of physical parameters are constructed and analyzed. The convergence of the series solutions is examined.
文摘This study employs numerical and statistical approaches to investigate the entropy optimization of steady Casson nanofluidflow over three different geometries subject to boundary conditions induced by convectiveflow.Multiple linear regression is employed to statistically examine.The present model incorporates several novel elements,such as Arrhenius activation energy,Brownian motion,the Cattaneo-Christov dualflux,thermophoresis,thermal radiation,and so on.Moreover,a comparison is presented between Newtonian and non-Newtonianfluids.By applying the proper similarity transformations,ordinary differential equations(ODEs)are ob-tained by converting foundational partial differential equations(PDEs).The Runge-Kutta fourth-order method is utilised to solve the obtained ODEs along with the shooting technique.The out-comes are visually depicted via tables and graphs.The velocity drops with increasing Grashof number,and the magneticfield becomes progressively more forceful as the suction parameter in-creases.The temperature gets reduced with the increase of the suction parameter,solute Grashof number increases with the magneticfield,thermophoresis,and radiation parameters.The entropy is observed to rise with the increase of the effective parameters(magneticfield,Brinkmann num-ber and radiation).The MAD(mean absolute deviation),MSE(mean squared error),and RMSE(root mean square error)values are approaching zero,indicating that the derived outcomes are highly accurate.A lower MAPE(mean absolute percentage error)suggests that the model has a higher level of precision.Therefore,the outcomes of the present model are more precise and reliable.This study has various potential applications such as power plant heat exchangers,material processing industries,and solar thermal energy systems.
文摘This study examines the effect of heat production and radiation absorption on the magnetohydrodynamic Cassonfluidflow at the stagnation point in a porous medium.We convert the group offluidflow equations,which are non-linear partial differential equations with suitable boundary constraints,into a set of non-linear ordinary differential equations using similarity transformations.The homotopy analysis method(HAM)solves the converted system of ordinary differential equations.We draw graphs for numerous values of non-dimensional pa-rameters and tables of surface drag force,rates of heat transfer,and mass transfer to analyze the relationship between velocityfield,temperaturefield,concentrationfield,and other essential parameters involved in the study.We have proven that the Dufour number,radiation parameter,and heat generation parameter elevate thefluid temperature,whereas the magnetic parameter lowers it.The Cassonfluid parameter,buoyancy force parameter,and mixed convection param-eter all promotefluid movement throughout theflowfield.The presented tabular data allows us to see the trend of heat and mass transfer rates,as well as drag force rates,against important parameters,enhancing our understanding of these rates.
