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工程上所遇到的导热问题中,有时在导热物体的内部有一个空气隙,在对该物体的温度场作数值计算时,需要考虑导热与辐射的联合作用。本文针对这一类实际问题,采用对控制元体作积分的方法,利用界面上热流密度连续的原则,导出了界面上既有导热又有辐射时的控制体离散方程式。推导结果表明,此时离散方程的形式仍与纯导热物体的形式相同,只是界面上的辐射热流以源项的形式进入到离散方程中。于是,这种区域内部同时有导热与辐射的换热问题,仍然可以作为一个统一的问题来求解。本文中通过一个实例,具体地说明了用迭代方法求解物体温度场的步骤。
Engineering problems encountered in the heat, and sometimes in the interior of a thermally conductive object has an air gap in the temperature field of the object for numerical calculations, the need to consider the combined effect of heat and radiation. In this paper, aiming at this kind of practical problems, a method of integrating the control elements is adopted. By using the principle of continuous heat flux density on the interface, a governing body discrete equation with both thermal and radiation on the interface is deduced. The deduced results show that the form of the discrete equation is still the same as that of the purely thermally conductive object, except that the radiative heat flux on the interface enters the discrete equation as a source term. Thus, the problem of heat transfer between heat and radiation in such an area can still be solved as a unified problem. In this paper, an example is given to illustrate the iterative method to solve the object temperature field.