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Siddheshwar, P. G.; Uma, D.; Bhavya, S.

Effects of variable viscosity and temperature modulation on linear Rayleigh-Bénard convection in Newtonian dielectric liquid. (English) Zbl 1430.76175

AMM, Appl. Math. Mech., Engl. Ed. 40, No. 11, 1601-1614 (2019).
Summary: The linear Rayleigh-Bénard electro-convective stability of the Newtonian dielectric liquid is determined theoretically subject to the temperature modulation with time. A perturbation method is used to compute the critical Rayleigh number and the wave number. The critical Rayleigh number is calculated as a function of the frequency of modulation, the temperature-dependent variable viscosity, the electric field dependent variable viscosity, the Prandtl number, and the electric Rayleigh number. The effects of all three cases of modulations are established to delay or advance the onset of the convection process. In addition, how the effect of variable viscosity controls the onset of convection is studied.

Cited in 3 Documents

MSC:

76E06 Convection in hydrodynamic stability
74R10 Brittle fracture
76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
76W05 Magnetohydrodynamics and electrohydrodynamics

Keywords:

dielectric liquid; temperature dependent variable viscosity; electric field dependent variable viscosity; electric Rayleigh number; temperature modulation
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References:

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