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
In this paper, we investigate the implications of electro-osmosis on electrohydrodynamic transport of a non-Newtonian fluid on a hydrophobic micro-channel by developing a suitable analytical method. Velocity-slip and ...In this paper, we investigate the implications of electro-osmosis on electrohydrodynamic transport of a non-Newtonian fluid on a hydrophobic micro-channel by developing a suitable analytical method. Velocity-slip and temperature-jump conditions are paid due attention. An attempt has been made to examine the effects of rheological and electro-osmotic parameters on the kinematics of the fluid. The nonlinear Poisson-Boltzmann equation governing the formation of the electrical double layer and the body force that is generated by the applied potential are accounted for in the study. Perturbation solutions are presented. In order to exhibit the applicability of the analysis, the problem of electro-osmotic flow and heat transfer of blood in an arteriole has been taken up as an illustrative example of a real-life problem. An intensive quantitative study has been made through numerical computation of the physical variables involved in the analysis, which are of special interest in the study. The computational results are presented graphically. The study reveals that the temperature of blood can be controlled by increasing/decreasing the Joule heating parameter.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).
基金Science and Engineering Research Board, Department of Science and Technology, Government of India, New Delhi for the financial support of this investigation through (Grant No. SB/S4/MS: 864/14)
文摘In this paper, we investigate the implications of electro-osmosis on electrohydrodynamic transport of a non-Newtonian fluid on a hydrophobic micro-channel by developing a suitable analytical method. Velocity-slip and temperature-jump conditions are paid due attention. An attempt has been made to examine the effects of rheological and electro-osmotic parameters on the kinematics of the fluid. The nonlinear Poisson-Boltzmann equation governing the formation of the electrical double layer and the body force that is generated by the applied potential are accounted for in the study. Perturbation solutions are presented. In order to exhibit the applicability of the analysis, the problem of electro-osmotic flow and heat transfer of blood in an arteriole has been taken up as an illustrative example of a real-life problem. An intensive quantitative study has been made through numerical computation of the physical variables involved in the analysis, which are of special interest in the study. The computational results are presented graphically. The study reveals that the temperature of blood can be controlled by increasing/decreasing the Joule heating parameter.