Effect of MFD Viscosity on the Onset of Ferromagnetic Fluid Layer Heated from Below and Cooled from Above with Constant Heat Flux

Abstract

The effect of magnetic field dependent (MFD) viscosity on the onset of convection in a ferromagnetic fluid layer heated from below and cooled from above in the presence of vertical magnetic field is investigated theoretically. The bounding surfaces are considered to be either rigid-ferromagnetic or stress free with constant heat flux conditions. The resulting eigenvalue problem is solved using the Galerkin technique and also by regular perturbation technique. It is found that increase in MFD viscosity and decrease in magnetic number is to delay the onset of ferroconvection, while the nonlinearity of fluid magnetization has no influence on the stability of the system.

Penetrative ferroconvection via internal heating in a saturated porous layer with constant heat flux at the lower boundary

“…Sunil and Mahajan [16] have performed nonlinear stability analysis for a magnetized ferrofluid layer heated from below in the stressfree boundaries, while Nanjundappa and Shivakumara [17] have analyzed the effects of different velocities and temperature boundary conditions on the onset of convection in a ferrofluid layer. The effect of magnetic field dependent viscosity on the onset of thermal convection in a horizontal ferrofluid layer heated from below has been studied by Nanjundappa et al [18]. Recently, Nanjundappa et al [19] have investigated theoretically the effect of magnetic field dependent viscosity on the onset of Benard-Marangoni ferroconvection in a horizontal ferrofluid layer.…”

Effect of internal heat generation on the onset of Brinkman–Benard convection in a ferrofluid saturated porous layer

“…Slavtchev et al [17] have investigated the stability of thermoconvective flows of a ferrofluid in a horizontal channel subjected to a longitudinal temperature gradient and an oblique magnetic field. Recently, Nanjundappa et al [18] have studied the effect of magnetic field dependent viscosity on the onset of thermal convection in a horizontal ferrofluid layer heated from below.…”

Onset of Benard-Marangoni Ferroconvection with Internal Heat Generation

“…Thermal convection of ferrofluids in the presence of a uniform vertical magnetic field with the boundary temperatures modulated sinusoidally about some reference values is investigated by Singh and Bajaj (2009). Recently, the effect of magnetic field dependent (MFD) viscosity on the onset of convection in a ferromagnetic fluid layer heated from below in the presence of a vertical magnetic field has been investigated by considering the bounding surfaces are either rigid-ferromagnetic or stress-free with constant heat flux conditions (Nanjundappa et al 2009). …”