Hall effect on thermal instability of viscoelastic dusty fluid in porous medium

• Autorzy: Singh M. , Gupta R. K.

Identyfikatory

DOI

10.2478/ijame-2013-0052

• Języki publikacji: EN

Abstrakty

EN

The effect of Hall currents and suspended dusty particles on the hydromagnetic stability of a compressible, electrically conducting Rivlin-Ericksen elastico viscous fluid in a porous medium is considered. Following the linearized stability theory and normal mode analysis the dispersion relation is obtained. For the case of stationary convection, Hall currents and suspended particles are found to have destabilizing effects whereas compressibility and magnetic field have stabilizing effects on the system. The medium permeability, however, has stabilizing and destabilizing effects on thermal instability in contrast to its destabilizing effect in the absence of the magnetic field. The critical Rayleigh numbers and the wave numbers of the associated disturbances for the onset of instability as stationary convection are obtained and the behavior of various parameters on critical thermal Rayleigh numbers are depicted graphically. The magnetic field, Hall currents and viscoelasticity parameter are found to introduce oscillatory modes in the systems, which did not exist in the absence of these parameters.

Słowa kluczowe

EN

thermal instability; Rivlin-Ericksen viscoelastic fluid; suspended particles; Hall current effect; porous medium

PL

niestabilność termiczna; płyn lepkosprężysty; porowatość

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2013
• Tom: Vol. 18, no. 3
• Strony: 871--886
• Opis fizyczny: Bibliogr. 23 poz., wykr.

Twórcy

autor

Singh M.

• Department of Mathematics, Govt Post Graduate College Seema (Rohru) Shimla, India

autor

Gupta R. K.

• Department of Mathematics Lovely School of Engineering and Technology Lovely Professional University Phagwara, India

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