CHAPTER THREE
Steady-State Conduction two dimensions
For steady state, two dimensional heat transfers by conduction with no heat generation the general heat conduction equation reduced to
assuming constant thermal conductivity. The solution to this equation may be obtained by analytical, numerical, or graphical techniques.The objective of any heat-transfer analysis is usually to predict heat flow or the temperature that results from a certain heat flow. The solution to Equation (3-1) will give the temperature in a two-dimensional body as a function of the two independent space coordinates x and y. Then the heat flow in the x and y directions may be calculated from the Fourier equations
So if the temperature distribution inthe material is known, we may easily establish the heat flow.
MATHEMATICAL ANALYSIS OF TWO-DIMENSIONAL HEAT CONDUCTION
Each side of Equation (3-6) is independent of the other because x and y are independent variables. This requires that each side be equal to some constant. We may thus obtain two ordinary differential equations in terms of this constant .
This equation gives two differential equations
المادة المعروضة اعلاه هي مدخل الى المحاضرة المرفوعة بواسطة استاذ(ة) المادة . وقد تبدو لك غير متكاملة . حيث يضع استاذ المادة في بعض الاحيان فقط الجزء الاول من المحاضرة من اجل الاطلاع على ما ستقوم بتحميله لاحقا . في نظام التعليم الالكتروني نوفر هذه الخدمة لكي نبقيك على اطلاع حول محتوى الملف الذي ستقوم بتحميله .
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