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Fully-developed heat transfer in annuli with viscous dissipation

机译:充分发展的环形空间内的热传递和粘性耗散

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For Newtonian concentric annular flows analytical solutions are obtained under imposed asymmetric constant wall heat fluxes as well as under imposed asymmetric constant wall temperatures, taking into account viscous dissipation and for fluid dynamic and thermally fully-developed conditions. Results for the special case of the heat flux ratio for identical wall temperatures and the critical Brinkman numbers marking changes of sign in wall heat fluxes are also derived. Equations are presented for the Nusselt numbers at the inner and outer walls, bulk temperature and normalised temperature distribution as a function of all relevant non-dimensional numbers. Given the complexity of the derived equations, simpler exact expressions are presented for the Nusselt numbers for ease of use, with their coefficients given in tables as a function of the radius ratio.
机译:对于牛顿同心环形流,在考虑了粘性耗散以及流体动力学和热充分发展的条件下,在施加非对称恒定壁热通量以及施加非对称恒定壁温的情况下获得了解析解。还得出了在相同壁温下热通量比率的特殊情况下的结果,以及标志壁热通量符号变化的临界Brinkman数。给出了在内壁和外壁的Nusselt数,体温和归一化温度分布的方程,这些方程是所有相关的无量纲数的函数。考虑到派生方程的复杂性,为便于使用,我们为Nusselt数提供了更简单的精确表达式,其系数在表格中作为半径比的函数给出。

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