Mathematical modeling of fluid flow and heat transfer over a stretching surface in a porous medium

Subject Areas : Numeric Analyze

Mahmoud Zarrini ¹

1 - Assistant Professor, Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran

Received: 2019-01-05 Accepted : 2023-01-22 Published : 2022-08-23

Keywords: محیط متخلخل, انتقال گرما, سطح کشسانی, روش پرتابی, جریان سیال,

Abstract :

In the current research, fluid flow and heat transfer over a stretching surface in a porous medium were studied; And a mathematical model for the boundary layer equations of its stretching surface based on the Navier-Stokes equations was presented in the form of partial differential equations and boundary conditions; that these equations were changed in the form of ordinary differential equations with boundary conditions by changing certain variables; And with the shooting numerical method, the boundary conditions of the model were changed to the initial conditions. Finally, an analytical solution for the fluid flow velocity was obtained and to find the heat transfer, the energy equation was solved by using the numerical method of Ronge-Kutta.Repeat (In the current research, fluid flow and heat transfer over a stretching surface in a porous medium were studied; And a mathematical model for the boundary layer equations of its stretching surface based on the Navier-Stokes equations was presented in the form of partial differential equations and boundary conditions; that these equations were changed in the form of ordinary differential equations with boundary conditions by changing certain variables; And with the shooting numerical method, the boundary conditions of the model were changed to the initial conditions. Finally, an analytical solution for the fluid flow velocity was obtained and to find the heat transfer, the energy equation was solved by using the numerical method of Ronge-Kutta.)

References:

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زرینی محمود، محاسبات عددی، انتشارات پاد اندیشه، قم، 1392.