An investigation is carried out on mixed convection boundary layer flow of an incompressible and electrically conducting viscoelastic fluid over a linearly stretching surface in which the heat transfer includes the ef...An investigation is carried out on mixed convection boundary layer flow of an incompressible and electrically conducting viscoelastic fluid over a linearly stretching surface in which the heat transfer includes the effects of viscous dissipation,elastic deformation,thermal radiation,and non-uniform heat source/sink for two general types of non-isothermal boundary conditions.The governing partial differential equations for the fluid flow and temperature are reduced to a nonlinear system of ordinary differential equations which are solved analytically using the homotopy analysis method(HAM).Graphical and numerical demonstrations of the convergence of the HAM solutions are provided,and the effects of various parameters on the skin friction coefficient and wall heat transfer are tabulated.In addition it is demonstrated that previously reported solutions of the thermal energy equation given in[1]do not converge at the boundary,and therefore,the boundary derivatives reported are not correct.展开更多
In this paper, a nonlinear mathematical model is presented for the transmission dynamics of HIV/AIDS in Cuba. Due to Cuba＇s highly successful national prevention program, we assume that the only mode of transmission ...In this paper, a nonlinear mathematical model is presented for the transmission dynamics of HIV/AIDS in Cuba. Due to Cuba＇s highly successful national prevention program, we assume that the only mode of transmission is through contact with those yet to be diagnosed with HIV. We find the equilibria of the governing nonlinear system, perform a linear stability analysis, and then provide results on global stability.展开更多
文摘An investigation is carried out on mixed convection boundary layer flow of an incompressible and electrically conducting viscoelastic fluid over a linearly stretching surface in which the heat transfer includes the effects of viscous dissipation,elastic deformation,thermal radiation,and non-uniform heat source/sink for two general types of non-isothermal boundary conditions.The governing partial differential equations for the fluid flow and temperature are reduced to a nonlinear system of ordinary differential equations which are solved analytically using the homotopy analysis method(HAM).Graphical and numerical demonstrations of the convergence of the HAM solutions are provided,and the effects of various parameters on the skin friction coefficient and wall heat transfer are tabulated.In addition it is demonstrated that previously reported solutions of the thermal energy equation given in[1]do not converge at the boundary,and therefore,the boundary derivatives reported are not correct.
基金Acknowledgments The authors would like to thank organizers Rongsong Liu, Michael Dillon, and Duane Porter of the Rocky Mountain Mathematics Consortium held at the University of Wyoming in June 2012, which was supported by the National Science Foundation and the Institute for Mathematics and Its Applications.
文摘In this paper, a nonlinear mathematical model is presented for the transmission dynamics of HIV/AIDS in Cuba. Due to Cuba＇s highly successful national prevention program, we assume that the only mode of transmission is through contact with those yet to be diagnosed with HIV. We find the equilibria of the governing nonlinear system, perform a linear stability analysis, and then provide results on global stability.
