Triple-diffusive convection in Walters' (Model B') fluid with varying gravity field saturating a porous medium

• Autorzy: Kango S. K. , Rana G. C. , Chand R.

Identyfikatory

DOI

10.2478/sgem-2013-0029

• Języki publikacji: EN

Abstrakty

EN

The Triple-Diffusive convection in Walters’ (Model B') fluid with varying gravity field is considered in the presence of uniform vertical magnetic field in porous medium. For the case of stationary convection, the magnetic field, varying gravity field and the stable solute gradients have stabilizing effects whereas the medium permeability has destabilizing (or stabilizing) effect on the system under certain conditions. A linear stability analysis theory and normal mode analysis method have been carried out to study the onset convection. The kinematic viscoelasticity has no effect on the stationary convection. The solute gradients, magnetic field, varying gravity field, porosity and kinematic viscoelasticity introduce oscillatory modes in the system, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained. The results are also shown graphically.

Słowa kluczowe

EN

Walters' (model B') fluid; Walters' B liquid model; Walters' B' fluid; porous media; convection

PL

lepkosprężyste ciecze Walters B; ciecz Waltersa; ośrodek porowaty; konwekcja

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2013
• Tom: Vol. 35, nr 3
• Strony: 45--56
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Kango S. K.

• Department of Mathematics, Government College, Haripur (Manali) – 175 136, Himachal Pradesh, India

autor

Rana G. C.

• Department of Mathematics, NSCBM Government PG College, Hamirpur, India

autor

Chand R.

• Department of Mathematics, Government College, Dhaliara (HP), India

Bibliografia

• [1] CHANDRASEKHAR S., Hydrodynamic and Hydromagnetic Stability, Dover Publications, New York, 1981.
• [2] KANGO S.K., SINGH V., Thermosolutal convection in Rivlin–Ericksen fluid in the presence of Hall currents in porous medium in hydromagnetics, Int. J. of Applied Mechanics and Engineering, 2012, 17 (1), 71–82.
• [3] NIELD D.A., BEJAN A., Convection in porous medium, Springer, New York, 1992
• [4] OLDENBURG C., PRUESS K., Layered thermohaline convection in hypersaline geothermal systems, Transport in Porous Media, 1998, 33, 29–63.
• [5] PEARLSTEIN A.J., HARRIS R.M., TERRONES G., The onset of convective instability in triply diffusive fluid layer, J. Fluid Mech., 1989, 202, 443–465.
• [6] PRADHAN G.K., SAMAL P.C., TRIPATHI U.K., Thermal instability of the fluid layer under variable gravitational field, J. Math., 1989, 20, 736.
• [7] SHARMA R.C., SUNIL, SURESH CHAND, Thermosolutal convection in Walters’ (Model B') fluid in porous medium in hydrodynamics, Studia Geotechnia et Mechanica, 2000, 3–4, 3–14.
• [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, 1–17.
• [12] WALTERS K., The motion of an elastico-viscous liquid contained between coaxial cylinders, Quart. J. Mech. Appl. Math., 1960, 13, 444.