g-Jitter-Induced Electrothermoconvection in a Dielectric Fluid Saturated Porous Layer

Abstract

This paper presents linear and nonlinear stability analyses of thermal convection in a dielectric fluid saturated sparsely packed porous layer subject to the combined effect of time-periodic gravity modulation (GM) and an AC electric field. In the domain of linear theory, the critical stability parameters are computed by the regular perturbation method in the form of a perturbation series in powers of frequency of modulation. The local nonlinear theory based on the truncated Fourier series method gives information on convection amplitudes and heat transfer. The principle of the exchange of stabilities is found to be valid and subcritical instability is ruled out. Based on the governing linear autonomous system, several qualitative results on stability are discussed. The sensitive dependence of the solution of a Lorenz system of electrothermal convection subject to the choice of initial conditions points to the possibility of chaos. Low-frequency g-jitter is found to have a significant stabilizing influence, which is in turn diminished by an imposed AC electric field. The role of sparseness of the porous layer, viscosity ratio, and normalized porosity on the stability criterion and on heat transport is determined. C⃝

Electroosmotic flow of a fractional second‐grade fluid with interfacial slip and heat transfer in the microchannel when exposed to a magnetic field

“…They proposed that the magnetic field is a handy tool in surgical applications to synchronize the blood flow. Swamy 56 carried out the linear and nonlinear stability analysis of electrothermal convection in a dielectric porous layer under the influence of time‐periodic gravity and AC electric field. Several studies 57,58 have dealt with the concept of Joule heating effects.…”

Combined Effect of Thermal Modulation and AC Electric Field on the Onset of Electrothermoconvection in Anisotropic Porous Layer

“…Effect of gravity modulation on the onset of electrothermal convection in anisotropic porous layer is examined by Swamy et al (2013). Swamy (2014) performed linear and non-linear stability analysis of dielectric fluid saturated porous layer subject to vertical AC electric field and time-periodic vertical vibrations.…”