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The effect of rotation and suspended particles on the stability of an incompressible Walters�f (model B�Ś) fluid heated from below under a variable gravity field in a porous medium is considered. By applying a normal mode analysis method, the dispersion relation has been derived and solved numerically. It is observed that the rotation, gravity field, suspended par- ticles, and viscoelasticity introduce oscillatory modes. For stationary convection, the rotation has a stabilizing effect and suspended particles are found to have a destabilizing effect on the system, whereas the medium permeability has a stabilizing or destabilizing effect on the system under certain conditions. The effect of rotation, suspended particles, and medium permeability has also been shown graphically.
Czasopismo
Rocznik
Tom
Strony
55--68
Opis fizyczny
Bibliogr. 15 poz., wykr.
Twórcy
autor
autor
- NSCBM Govt. P. G. College Department of Mathematics Hamirpur-177 005, Himachal Pradesh, India, drgcrana15@gmail.com
Bibliografia
- 1. Chandrasekhar S., Hydrodynamic and Hydromagnetic Stability, Dover Publication, York, 1981.
- 2. Lapwood E.R., Convection of a fluid in a porous medium, Proc. Camb. Phil. Soc., 44, 508–519, 1948.
- 3. Linden P.F., Salt fingers in a steady shear flow, Geophysics Fluid Dynamics, 6, 1–27, 1974.
- 4. Lister C.R.B., On the thermal balance of a mid ocean ridge, Geophysics. J. Roy. Astr. Soc., 26, 515–535, 1972.
- 5. Pradhan G.K., Samal P.C., Thermal instability of a fluid layer under variable body forces, J. Math. Anal. Appl., 122, 487–498, 1987.
- 6. Rana G.C., Kango S.K., Effect of rotation on thermal instability of compressible Walters’ (model B’) elastico-viscous fluid in porous medium, JARAM, 3, 44–57, 2011.
- 7. Scanlon J.W., Segel L.A., Effect of suspended particles on onset of Be’nard convection, Phys. Fluids, 16, 1573–78, 1973.
- 8. Sharma R.C., Thermal instability of viscoelastic fluid in hydromagnetics, Acta Physica Hungarica, 38, 293–298, 1975.
- 9. Sharma R.C., Sunil, Thermal instability of an Oldroydian viscoelastic fluid with suspended particles in hydromagnetics in porous medium, J. of Polymer Plastic Technology and Engineering, 33, 323–339, 1994.
- 10. Sharma V., Rana G.C., Thermal instability of a Walters’ (model B′) elastico-viscous fluid in the presence of variable gravity field and rotation in porous medium, J. Non- Equilib. Thermodyn., 26, 31–40, 2001.
- 11. Sharma V., Rana G.C., Thermosolutal instability of a Walters’ (model B′) elastico-viscous rotating fluid in the presence of magnetic field and variable gravity field in porous medium, Proc. Nat. Acad. Sci. INDIA, 73, 93–111, 2003.
- 12. Sharma V., Gupta S., Effect of rotation on thermal convection of micropolar fluids in the presence of suspended particles, Arch. Mech., 60, 403–419, 2008.
- 13. Stomel H., Fedorov K.N., Small scale structure in temperature and salinity near Timor and Mindanao, Tellus, 19, 306–325, 1967.
- 14. Walters K., The solution of flow problems in the case of materials with memory, J. Mecanique, 1, 469–778, 1962.
- 15. Wooding R.A., Rayleigh instability of a thermal boundary layer in flow through a porous medium, J. Fluid Mech., 9, 183–192, 1960.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0055-0005