Abstract
Numerical Solution of Electromagnetic Problem MHD in a Polar Coordinates
Highlights
In this paper, we studied a flow of fluid in a pipe under the effect of electromagnetic field in a polar coordinate, be done build a mathematical model which represented by system of two dimensional non-linear partial differential equations and we solved it by using Alternating Directions Implicit method (ADI) which is one of the finite differences method, and from the numerical solution indicated the behavior of temperature distribution inside the pipe, be done explication the influence of Rayleigh number and Prandtl number as well as the influence of Eckert number upon the behavior of temperature distribution are also done through the energy equation in polar coordinate, we arrived to steady state from unsteady state, we find the behavior of fluid flow inside the pipe and also we studied the influence of Hartmann number upon the behavior of fluid flow in pipe and all this done through the motion equation in polar coordinate
وت اروحت قيم rبين ( )0.25–0.19عند دالة الح اررة في الإحداثيات القطبية.
Summary
We studied a flow of fluid in a pipe under the effect of electromagnetic field in a polar coordinate, be done build a mathematical model which represented by system of two dimensional non-linear partial differential equations and we solved it by using Alternating Directions Implicit method (ADI) which is one of the finite differences method, and from the numerical solution indicated the behavior of temperature distribution inside the pipe, be done explication the influence of Rayleigh number and Prandtl number as well as the influence of Eckert number upon the behavior of temperature distribution are done through the energy equation in polar coordinate, we arrived to steady state from unsteady state, we find the behavior of fluid flow inside the pipe and we studied the influence of Hartmann number upon the behavior of fluid flow in pipe and all this done through the motion equation in polar coordinate. بني،في هذا البحث درسنا جريان مائع في أنبوب تحت تأثير مجال كهرومغناطيسي في إحداثيات قطبية
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