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Journal of Applied Mechanics and Technical Physics

2017 year, number 2

Stability of Advective Flow in an Inclined Plane Fluid Layer Bounded by Solid Planes with a Longitudinal Temperature Gradient. 1. Unstable Stratification

R. V. Sagitov1, A. N. Sharifulin2
1Perm State National Research University, Perm, 614990, Russia
2Perm National Research Polytechnic University, Perm, 614990, Russia
Keywords: адвективное течение, наклонный слой жидкости, продольный градиент температуры, конвективная неустойчивость, advective flow, inclined fluid layer, longitudinal temperature gradient, convective instability

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.