Rayleigh’s problem for compressible viscous flow. (English) Zbl 0871.76071
The author studies the following problem. Let the half-space above the infinite plane surface be filled with perfect compressible fluid having the temperature \(T_0\), and at time \(t<0\) staying at rest. At the moment \(t=0\) the surface starts to move with a constant velocity, while its temperature acquires a new value \(T_w\). One should describe fluid’s behaviour at \(t>0\) using a full set of Navier-Stokes equations. The main result is a self-similar asymptotic solution as \(|T_w-T_0|/T_0\to 0\).
Reviewer: Y.R.Romanovsky (Pereslavl’-Zalesskij)
MSC:
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
References:
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