Thermo-Rheological Effect on Weak Nonlinear Rayleigh-Benard Convection under Rotation Speed Modulation

Abstract

The effects of rotation speed modulation and temperature-dependent viscosity on Rayleigh-Benard convection were investigated using a non-autonomous Ginzburg-Landau equation. The rotating temperature-dependent viscous fluid layer has been considered. The momentum equation with the Coriolis term has been used to describe finite-amplitude convective flow. The system is considered to be rotating about its vertical axis with a non-uniform rotation speed. In particular, we assume that the rotation speed is varying sinusoidally with time. Nusselt number is obtained in terms of the system parameters and graphically evaluated their effects. The effect of the modulated system diminishes the heat transfer more than the un-modulated system. Further, thermo-rheological parameter VT is found to destabilize the system.

Time-Periodic Thermal Boundary Effects on Porous Media Saturated with Nanofluids: CGLE Model for Oscillatory Mode

“…The complex Ginzburg-Landau equation was applied to measure the heat and mass transfer in terms of finite complex amplitude. The effect of temperature dependant viscosity on weak nonlinear Rayleigh-Benard convection under rotation speed modulation was reported by Manjula and Kiran [23].…”

“…The terms of 𝑅ℎ 31 , 𝑅ℎ 32 and 𝑅ℎ 33 are simplified with the help of first and second order solutions. The Ginzburg-Landau equation for oscillatory convection with time-periodic coefficients is obtained under the solvability condition (Manjula and Kiran [23], Bhadauria et al [45,46] and [49][50][51]):…”

Effect of Gravitation Modulation on Viscoelastic Nonlinear Ferro-Convection

“…The effect of gravity modulation ferroconvection in a densely packed porous layer for linear theory was reported by Nisha et al [46]. Thermo-rheological effects on Benard convection with rotational effects were investigated by Manjula and Kiran [48]. Kiran [49] nonlinear oscillatory convection of a viscoelastic fluid layer with gravity modulation was studied by Bhadauria and Kiran [50].…”