轴向热传导和入口效应对圆形微通道对流换热特性的影响

提出了一种考虑轴向热传导、速度滑移、温度跳跃和入口效应情况下圆形微通道能量方程的求解方法．运用分离变量法将能量方程转化为本征值问题，再通过温度跳跃边界条件求解得到了本征值，由本征函数的正交性确定了能量方程的完备解的待定常数，给出了流体温度场和努塞尔数的计算表达式．对圆形微通道换热特性进行了数值仿真，结果表明，轴向热传导和入口效应增加了入口处的局部努塞尔数，速度滑移系数越小，局部努塞尔努塞尔数的渐进值越大．

Effect of axial heat conduction and thermal entrance on heat transfer for the circular microchannel

A method for resolving the energy equation of the circular microchannel,which considers axial heat conduction,temperature jump,velocity slip and thermal entrance is presented.The energy equation can be transformed into the eigenvalue problem by separation of variables.The temperature jump condition provides a procedure for determining the eigenvalues.The undermined coefficients of the complete solution to the energy equation are derived by the orthogonality eigenfunction and then the expressions of temperat...