Rayleigh-Taylor instability at viscous gas-viscoelastic fluid interface with heat and mass transfer

2021 ◽  
Author(s):  
Atul Kumar Shukla ◽  
Mukesh Kumar Awasthi ◽  
Rishi Asthana
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Viscoelastic Fluid ◽  
Taylor Instability ◽  
Fluid Interface ◽  
Viscous Gas ◽  
Rayleigh Taylor Instability

Bubble Formation in Superposed Magnetic Fluids in the Presence of Heat and Mass Transfer

1995 ◽  
Vol 50 (9) ◽  
pp. 805-812 ◽  
Author(s):  
Gurpreet K. Gill ◽  
R.K. Chhabra ◽  
S.K. Trehan
Keyword(s):  
Mass Transfer ◽  
Nonlinear Analysis ◽  
Heat And Mass Transfer ◽  
Bubble Formation ◽  
Magnetic Fluids ◽  
Taylor Instability ◽  
Linear Case ◽  
Explosive Instability ◽  
Normal Field ◽  
Rayleigh Taylor Instability

Abstract In this paper we study the nonlinear Rayleigh-Taylor instability in the case of magnetic fluids in the presence of heat and mass transfer. We find that there is a normal field instability in the linear case. The behaviour of the bubbles in the nonlinear analysis is the same as if they were leaving the surface when the liquid is superheated. The criterion for "Explosive Instability" is also examined.

scholarly journals Study on Electrohydrodynamic Rayleigh-Taylor Instability with Heat and Mass Transfer

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Mukesh Kumar Awasthi ◽  
Vineet K. Srivastava
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Electric Field ◽  
Heat And Mass Transfer ◽  
Taylor Instability ◽  
Wave Number ◽  
Physical Parameters ◽  
Tangential Electric Field ◽  
Rayleigh Taylor Instability ◽  
The Stability

The linear analysis of Rayleigh-Taylor instability of the interface between two viscous and dielectric fluids in the presence of a tangential electric field has been carried out when there is heat and mass transfer across the interface. In our earlier work, the viscous potential flow analysis of Rayleigh-Taylor instability in presence of tangential electric field was studied. Here, we use another irrotational theory in which the discontinuities in the irrotational tangential velocity and shear stress are eliminated in the global energy balance. Stability criterion is given by critical value of applied electric field as well as critical wave number. Various graphs have been drawn to show the effect of various physical parameters such as electric field, heat transfer coefficient, and vapour fraction on the stability of the system. It has been observed that heat transfer and electric field both have stabilizing effect on the stability of the system.

Nonlinear Analysis of Rayleigh–Taylor Instability of Cylindrical Flow With Heat and Mass Transfer

2013 ◽  
Vol 135 (6) ◽  
Author(s):  
Mukesh Kumar Awasthi
Keyword(s):  
Mass Transfer ◽  
Nonlinear Analysis ◽  
Heat And Mass Transfer ◽  
Landau Equation ◽  
Taylor Instability ◽  
Ginzburg Landau ◽  
Stability Diagrams ◽  
Rayleigh Taylor Instability ◽  
Mass And Heat Transfer ◽  
The Stability

We study the nonlinear Rayleigh–Taylor instability of the interface between two viscous fluids, when the phases are enclosed between two horizontal cylindrical surfaces coaxial with the interface, and when there is mass and heat transfer across the interface. The fluids are considered to be viscous and incompressible with different kinematic viscosities. The method of multiple expansions has been used for the investigation. In the nonlinear theory, it is shown that the evolution of the amplitude is governed by a Ginzburg–Landau equation. The various stability criteria are discussed both analytically and numerically and stability diagrams are obtained. It has been observed that the heat and mass transfer has stabilizing effect on the stability of the system in the nonlinear analysis.

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