Modes of fluids and their stability

Vol-3 | Issue-12 | December 2018 | Published Online: 10 December 2018    PDF ( 114 KB )
Author(s)
Jyoti 1

1Department of Mathematics, M.Phil, MMU, Mullana (Ambala) (India)

Abstract

Thermal instability of viscous horizontal fluid layer under adverse temperature gradient (heated form below) is the simplest problem in the Stability Theory and is known as Benard's problem. In this the buoyancy force acts upwards which is opposed by the viscous force and the equilibrium is reached when these opposing forces are equal in magnitude, giving the marginal state in the Benard's problem.

Keywords
Non-oscillatory modes, dispersion relation, number density, unstable Modes, stratification, temperature gradient
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