逸散系数及接受系数在求解辐射直接交换面积中的应用

Application of escape factor and reception factor in calculating radiative direct exchange areas

基于逸散系数定义,给出了直角坐标系下逸散系数积分表达式.采用积分简化公式推导了逸散系数及接受系数的降重积分表达式,并应用高斯数值积分进行求解.应用逸散系数及接受系数对气体段对自身及气体段对相邻表面段的直接交换面积进行求解验证.结果表明,采用降重积分求解逸散系数及接受系数计算结果更精确,用于求辐射直接交换面积时精度更高,并可以节省一定的机时.

An integral relation of escape factor in rectangular coordinate system is given from the definition of escape factor. The reduced integration expressions of escape factor and reception factor are derived using simplification mathematical integral formula. The integrations are calculated by Gaussion quadrature method. The radiative direct - exchange areas of the volume zone to itself and the volume zone to surface zone, which is adjacent to it, are calculated by escape factor and reception factor. The results show that much higher accuracy and considerable saving of computational time can be achieved when radiative direct - exchange areas are calculated with resorting to escape factor and reception factor.