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Penetrative convection due to absorption of radiation in a magnetic nanofluid saturated porous layer

stratified fluid layer because of selective absorption of radiation was conducted by Krishnamurti [ 10 ]. The convection mechanism observed by Krishnamurti was a penetrative one, which was, stimulated by internal heating through absorption of radiation. Penetrative convection is a phenomenon that arises when buoyancy-driven motion penetrates into stratified layers [ 11 ]. In the experimental work, Krishnamurti considered a layer of water that contains a pH indicator known as thymol blue. This model of Krishnamurti was again investigated by Straughan [ 12 ] with the

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Hydromagnetic dynamos in rotating spherical fluid shells in dependence on the Prandtl number, density stratification and electromagnetic boundary conditions

Abstract

We present an investigation of dynamo in a simultaneous dependence on the non-uniform stratification, electrical conductivity of the inner core and the Prandtl number. Computations are performed using the MAG dynamo code. In all the investigated cases, the generated magnetic fields are dipolar. Our results show that the dynamos, especially magnetic field structures, are independent in our investigated cases on the electrical conductivity of the inner core. This is in agreement with results obtained in previous analyses. The influence of non-uniform stratification is for our parameters weak, which is understandable because most of the shell is unstably stratified, and the stably stratified region is only a thin layer near the CMB. The teleconvection is not observed in our study. However, the influence of the Prandtl number is strong. The generated magnetic fields do not become weak in the polar regions because the magnetic field inside the tangent cylinder is always regenerated due to the weak magnetic diffusion.

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TRIPLE-DIFFUSIVE CONVECTION IN WALTERS’ (MODEL B’) FLUID WITH VARYING GRAVITY FIELD SATURATING A POROUS MEDIUM

-14. [8] SPIEGEL E.A., Convective instability in a compressible atmosphere, Astrophys. J., 1965, 141, 1068. [9] STRAUGHAN B.D., WALKER W., Multi component diffusion and penetrative convection, Fluid Dynamics Research, 1997, 19, 77-89. [10] SURESH CHAND, Effect of rotation on triple-diffusive convection in Walters’ (Model B′) fluid in porous medium, Research J. Science and Tech., 5(1), Jan.-Mar. 2013, 184-188. [11] VERONIS G., Thermohaline convection in a layer of fluid heated from below, J. Marine Res., 1965, 23, 1

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Thermal Convection in a Ferromagnetic Fluid Layer with Magnetic Field Dependent Viscosity: A Correction Applied

. [5] L alas D.P., C armi S., Thermoconvective stability of ferrofluids , Phys. Fluids, 1971, 14(2), 436. [6] L ange A., Thermal convection of magnetic fluids in a cylindrical geometry , J. Magn. Mag. Mater., 2002, 252, 194. [7] L ee J., S hivakumara I.S., Onset of penetrative convection in a ferrofluid-saturated porous layer , Special Topics Rev. Porous Media: An Int. J., 2011, 2(3), 217. [8] M ojumder S., K han M.D.R., S aha S., H asan M.N., S aha S.C., Magnetic field effect on natural convection and entropy generation in a half

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Triple- Diffusive Convection in a Micropolar Ferrofluid in the Presence of Rotation

magnetic field. - J. Magn. Magn. Mater., vol.85 (1-3), pp.196-198. Straughan B. and. Walker D.W. (1997): Multi component diffusion and penetrative convection. - Fluid Dynamics Research, vol.19, pp.77-89. Sunil, Divya and Sharma R.C. (2004): Effect of rotation on ferromagnetic fluid heated and soluted from below saturating a porous Medium. - J. Geophys. Eng., vol.1, No.2, pp.116-127. Sunil, Divya and Sharma V. (2005): Effect of dust particles on rotating ferromagnetic fluid heated from below saturating a porous Medium. - J. Colloid

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Global Stability For Double-Diffusive Convection In A Couple-Stress Fluid Saturating A Porous Medium

thermal non-equilibrium model: a nonlinear stability analysis Journal of Geophysics and Engineering 7 417 [38] Mahajan, A., Nandal, R. (2017). On the stability of penetrative convection in a couple-stress fluid. International Journal of Applied and Computational Mathematics 3(4), 3745-3758. Mahajan A. Nandal R. 2017 On the stability of penetrative convection in a couple-stress fluid International Journal of Applied and Computational Mathematics 3 4 3745 3758 [39] Nandal, R., Mahajan, A. (2018). Penetrative convection in couple-stress fluid

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