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Nonlinear Kelvin–Helmholtz Instability of Viscous Fluids with Heat and Mass Transfer

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Advances in Fluid Dynamics

Abstract

A nonlinear stability analysis of novel Kelvin–Helmholtz instability of two superposed viscous fluids is performed. We are allowing transferring of heat/mass at the juncture of two fluids. The multiple timescale expansion method is utilized to study various modes of instability. The stability of arrangement is finally governed by a partial differential equation which is nonlinear in nature. The stable/unstable zones are represented graphically showing the impacts of physical variables. The nonlinear analysis shows that transferring of heat at the juncture of two fluids induces instability, while nonlinearity induces stability.

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Correspondence to Rishi Asthana .

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Asthana, R., Awasthi, M.K. (2021). Nonlinear Kelvin–Helmholtz Instability of Viscous Fluids with Heat and Mass Transfer. In: Rushi Kumar, B., Sivaraj, R., Prakash, J. (eds) Advances in Fluid Dynamics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-4308-1_16

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  • DOI: https://doi.org/10.1007/978-981-15-4308-1_16

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-4307-4

  • Online ISBN: 978-981-15-4308-1

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