The paper highlights the application of a recent semi-numerical successive linearization method(SLM)in solving highly coupled,nonlinear boundary value problem.The method is presented in detail by solving the problem o...The paper highlights the application of a recent semi-numerical successive linearization method(SLM)in solving highly coupled,nonlinear boundary value problem.The method is presented in detail by solving the problem of boundary layer convective heat transfer with low pressure gradient in the presence of viscous dissipation and radiation effects.The effects of the parameters on the flow are investigated.The velocity,temperature,skinfriction,and heat transfer coefficients have been obtained and discussed for various physical parametric values.展开更多
In this paper,we apply a new modification of the Adomian decomposition method for solving the problem of boundary layer convective heat transfer with viscous dissipation and low pressure gradient over a at plate.The t...In this paper,we apply a new modification of the Adomian decomposition method for solving the problem of boundary layer convective heat transfer with viscous dissipation and low pressure gradient over a at plate.The technique is based on the standard Adomian decomposition method and the Chebyshev pseudospectral method.Comparisons are made between the pro-posed technique,the standard Adomian decomposition method,and the numerical solutions to demonstrate the applicability,validity,and high accuracy of the present approach.The results demonstrate that the new modification is more efficient and converges faster than the Adomian decomposition method.展开更多
In this paper,we propose a new application of a recent semi-numericalsuccessive linearization method(SLM)in solving highly coupled,nonlinear boundaryvalue problem.The method is presented in detail by solving the probl...In this paper,we propose a new application of a recent semi-numericalsuccessive linearization method(SLM)in solving highly coupled,nonlinear boundaryvalue problem.The method is presented in detail by solving the problem of steady flowof mixed convection and an incompressible viscous hydromagnetic fluid from a verticalflat plate embedded in a fluid-saturated porous medium.The governing partial differentialequations are transformed into a system of ordinary differential equations and then solvedby SLM.The effects of different physical parameters on the velocity,temperature,andconcentration profiles are determined and discussed.The skin-friction,and heat and masstransfer coefficients have been obtained and analyzed for various physical parametricvalues.The results are presented numerically through graphs and tables for both assistingand opposing flows to observe the effects of various parameters encountered in the equations.展开更多
文摘The paper highlights the application of a recent semi-numerical successive linearization method(SLM)in solving highly coupled,nonlinear boundary value problem.The method is presented in detail by solving the problem of boundary layer convective heat transfer with low pressure gradient in the presence of viscous dissipation and radiation effects.The effects of the parameters on the flow are investigated.The velocity,temperature,skinfriction,and heat transfer coefficients have been obtained and discussed for various physical parametric values.
文摘In this paper,we apply a new modification of the Adomian decomposition method for solving the problem of boundary layer convective heat transfer with viscous dissipation and low pressure gradient over a at plate.The technique is based on the standard Adomian decomposition method and the Chebyshev pseudospectral method.Comparisons are made between the pro-posed technique,the standard Adomian decomposition method,and the numerical solutions to demonstrate the applicability,validity,and high accuracy of the present approach.The results demonstrate that the new modification is more efficient and converges faster than the Adomian decomposition method.
文摘In this paper,we propose a new application of a recent semi-numericalsuccessive linearization method(SLM)in solving highly coupled,nonlinear boundaryvalue problem.The method is presented in detail by solving the problem of steady flowof mixed convection and an incompressible viscous hydromagnetic fluid from a verticalflat plate embedded in a fluid-saturated porous medium.The governing partial differentialequations are transformed into a system of ordinary differential equations and then solvedby SLM.The effects of different physical parameters on the velocity,temperature,andconcentration profiles are determined and discussed.The skin-friction,and heat and masstransfer coefficients have been obtained and analyzed for various physical parametricvalues.The results are presented numerically through graphs and tables for both assistingand opposing flows to observe the effects of various parameters encountered in the equations.
