An approximate analytical solution to a heat transfer problem for a moving fluid in a cylindrical channel is obtained using an additional new function and additional boundary conditions in the heat balance integral method and taking into account energy dissipation under a first-order boundary condition that varies along the longitudinal coordinate. The use of an additional new function that determines the temperature change along the longitudinal variable in the center of the channel makes it possible to reduce the solution of the partial differential equation to the integration of an ordinary differential equation. Additional boundary conditions are found in such a way that their satisfaction for the new solution is equivalent to the satisfaction of the differential equation at boundary points.

中文翻译：

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一种考虑能量耗散的运动流体传热计算方法

使用热平衡积分法中的附加新函数和附加边界条件，并考虑一阶边界条件下的能量耗散，获得了圆柱通道中运动流体传热问题的近似解析解。纵坐标。使用附加的新函数来确定沿通道中心纵向变量的温度变化，可以将偏微分方程的解简化为常微分方程的积分。以这样的方式找到额外的边界条件，使得它们对新解的满足等同于在边界点处对微分方程的满足。