Stability of advective flow in an inclined plane fluid layer bounded by solid planes with a longitudinal temperature gradient. 1. Unstable stratification

R. V. Sagitov^a, A. N. Sharifulin<sup>b

a</sup> Perm State National Research University, Perm, 614990, Russia
^b Perm National Research Polytechnic University, Perm, 614990, Russia

Abstract: The stability of steady convective flow in an inclined plane fluid layer bounded by ideally thermally conductive solid planes is studied in the presence of a homogeneous longitudinal temperature gradient under unstable stratification conditions where the layer is inclined so that the temperature is higher in the lower part than in the upper part. It is shown that the inclination leads to the transition from critical perturbations to long-wave helical perturbations. Stability maps of flow regimes are given for the entire range of Prandtl numbers and inclination angles corresponding to unstable stratification.

Keywords: advective flow, inclined fluid layer, longitudinal temperature gradient, convective instability.

UDC: 669.86:536.21

Received: 13.03.2014
Revised: 04.05.2016

DOI: 10.15372/PMTF20170209

 English version: Journal of Applied Mechanics and Technical Physics, 2017, 58:2, 264–270

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