Influence of internal heat source on double-diffusive Soret induced convection in a binary fluid

The neutral convection in a double-diffusive fluid layer subject to the internal heat source (internal heating) and thermodiffusion or also known as Soret effect is studied analytically. The influence of the internal heating is supplied by an internal volumetric source with a uniform distribution. Results show that the presence of internal heating in the binary fluid layer which is fluid layer heated and salted has a significant influence on the neutral convection where increasing the internal heating will destabilize the fluid system. Despite the destabilizing factor, an increase of the Solutal Rayleigh number spikes the critical Rayleigh number and thus ensures greater stability of the system. The instability gets fluctuate depending on values of Soret parameter in the presence of internal heating

Stabilization of convective instability in micropolar fluid model by feedback control strategy subjected to internal heat source

This investigation reports on a stability analysis of Rayleigh-Benard convection in a horizontal of micropolar fluid layer heated from below. The effect of a feedback control strategy on the onset of steady convection in the presence of internal heat source is investigated theoretically using Galerkin technique. The eigenvalues are obtained for free-free, rigid-rigid, free-rigid boundary combination with isothermal temperature boundary condition. The influence of various micropolar parameters on the onset of convection has also been analyzed. The onset of motion is found to depend on the feedback control parameter, K and internal heat source, Q and the micropolar parameter Ni

The stability of soret induced convection in doubly diffusive fluid layer with feedback control

Linear stability analysis is performed to study the Soret induced convection in a doubly diffusive fluid layer heated from below. The effect of a feedback control on the onset of steady convection is investigated theoretically using Galerkin technique. The eigenvalues are obtained for Free-Free, Rigid-Rigid, Rigid-Free boundaries combined with isothermal temperature boundary condition. The influence of various doubly diffusive parameters on the onset of convection has also been analyzed. It is found that the onset of motion can be stabilized by using the feedback control in all cases

Convection on binary fluid with cross diffusive coefficients and vertical magnetic field

This study deals theoretically with the effect of cross diffusion coefficients viz., Soret and Dufour effects subjected to uniform vertical magnetic field on the onset of stationary convection in a horizontal layer of binary fluid model. The upper surface of a binary fluid layer is non-deformable and the lower surface is assumed to be rigid and heated from below. In this investigation, the bounding system of the model are considered to be rigid-rigid and free-rigid which described the upper and free surfaces of the model. The eigenvalue equations of the perturbed state obtained from the normal mode analysis are solved by using the Galerkin method. The influences of magnetic field and cross diffusion parameter in binary fluid model are analyzed on the onset of convection. The results show that the effect of increasing the magnetic field strength is always to stabilize the binary fluid model although the onset of convection gets advanced when the Soret parameter is increase

Investigation on coupled convection with internal heating in micropolar fluid

The effect of uniform distribution of internal heat generation on the linear stability analysis of the Benard-Marangoni convection (coupled driven convection) in micropolar fluid is investigated theoretically. The upper free surface is assumed to be non-deformable and the lower boundary is taken to be rigid and isothermal with fixed temperature and span-vanishing boundaries. The eigenvalue problem is solved numerically using the Galerkin method. The influence of the internal heat generation in micropolar fluid with various parameters on the onset of stationary convection has been analyzed and also comparison has been made with the Newtonian fluid. We found that the effect of internal heating is to destabilize the micropolar fluid system

Rayleigh-Benard convection in micropolar fluid with feedback control effect

The effect of feedback control on the criterion for the onset of Rayleigh-Benard convection in a horizontal micropolar fluid layer is studied theoretically. The bounding surfaces of the liquid are considered to either rigid on the upper and lower boundaries or upper boundary free and lower boundary rigid. A linear stability analysis is used and the Galerkin method is employed to find the critical stability parameters numerically. It is found that the onset of instability can be delayed through the use of feedback control

Onset of convection in a dielectric nanofluid saturated anisotropic porous medium

The onset of thermal convection in a horizontal layer of a dielectric nanofluid saturated an anisotropic porous medium with vertical AC(alternate current) electric field has been studied. We considered Darcy model for porous medium while for nanofluid model used, it incorporates the effects of thermophoresis, electrophoresis and Brownian motion. A linear stability analysis based upon a normal mode has been performed, and the expression of thermal Rayleigh number is obtained using the Galerkin method. The results show that an increase value of AC electric Rayleigh number, Re and mechanical anisotropy parameter, ξ is to destabilize the system of nanofluid layer while the thermal anisotropy parameter, η has stabilizing effect on the onset of electroconvection

Effect of internal heat generation on Benard-Marangoni convection in micropolar fluid with feedback control

The effect of uniform distribution of internal heat generation on the linear stability analysis of the Benard-Marangoni convection in an Eringen's micropolar fluids with feedback control is investigated theoretically. The upper free surface is assumed to be non-deformable and the lower boundary is taken to be rigid and isothermal with fixed temperature and span-vanishing boundaries. The eigenvalue is solved numerically using the Galerkin method. The influence of the internal heat generation; Q and feedback control; K in micropolar fluids with various parameters on the onset of stationary convection has been analysed

Coriolis force in a nanofluid layer in the presence of Soret effect

The influence of coriolis force on the onset of steady Rayleigh-Benard convection subjected to Soret parameter in a horizontal nanofluid layer is considered analytically. The confined lower and upper boundary conditions of the nanofluid layer are considered to be free-free, rigid-free and rigid-rigid respectively. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis diffusion. Following the usual linear stability theory, the eigenvalue solution is obtained numerically by using Galerkin technique. From the investigation, the presence of coriolis force due to the rotation inhibits the onset of convection in nanofluid layer and have a stabilizing effect. Further, the instability of the system get advanced with the increased values of the Soret parameter

Onset of Marangoni convection in a saturated porous medium

The onset of Marangoni convective instabilities in a porous layer is studied by means of linear stability analysis. The upper and lower boundaries of the porous layer are fixed with a constant heat flux. The Brinkman model is used and the Darcy law is employed to describe the flow in the porous medium heated from below. The asymptotic solutions of long wavelength are derived analytically by using regular perturbation technique