流体を通す壁と固体壁の間の温度依存物性を持つ粘性流体の定常流の熱伝達について

概要

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The solutions of steady flow of a viscous fluid, of which the viscosity, the conductivity and the density depend on the temperature, between two plane walls (a solid wall and a permeable one), with a constant suction or injection, are found theoretically in the similar form, in which the governing equations are reduced to an ordinary differential system. For the injection case, the solution is found uniquely, but for the suction case, the solution can be found uniquely or threefold, and reverse flow can arise beyond a critical Reynolds number. The extent of the Reynolds number range, where there are three kinds of solutions, becomes narrow for the case in which the viscosity decreases with increasing temperature and becomes wide for the opposite case. It is explained theoretically that, for the injection case, the thermal boundary layer arises near the solid wall. However, for the suction case, it can arise near the solid wall or/and the suction wall. For the suction case, there can exist a peculiar case in which either wall is regarded as adiabatic. The stabilities of these steady solutions are studied with respect to the two-dimensional disturbances. It is found that for the injection case, the solutions are always stable, but for the suction case, only one of the three kinds of solutions is unstable while the others are stable.
一般社団法人日本機械学会の論文
1991-01-25