Thermosolutal instability of compressible Rivlin-Ericksen fluid with Hall currents

• Autorzy: Sunil , Sharma Y. D. , Bharti P. K. , Sharma R. C.
• Języki publikacji: EN

Abstrakty

EN

The thermosolutal instability of a compressible Rivlin-Ericksen viscoelastic fluid is predicted for a layer heated and soluted from below in the presence of the vertical magnetic field to include the effect of Hall currents. For the case of stationary convection, the Rivlin-Ericksen elastico-viscous fluid behaves like a Newtonian viscous fluid. The Hall currents found to hasten the onset of thermosolutal instability whereas the compressibility, stable solute gradient and magnetic field postpone the onset of thermosolutal instability. Also, the dispersion relation is analyzed numerically and results are depicted graphically. The stable solute gradient and magnetic field (and corresponding Hall currents) introduce oscillatory modes in the system, which were nonexistent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.

Słowa kluczowe

EN

Hall effect; thermosolutal instability; Rivlin-Ericksen fluid; magnetic field; compressibility

PL

teoria sprężystości; płyn Rivlina-Ericksena; pole magnetyczne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2005
• Tom: Vol. 10, no 2
• Strony: 329--343
• Opis fizyczny: Bibliogr. 36 poz., wykr.

Twórcy

autor

Sunil

• Department of Applied Sciences, National Institute of Technology, Deemed University Hamirpur (H.P.)-177 005, INDIA

autor

Sharma Y. D.

• Department of Applied Sciences, National Institute of Technology, Deemed University Hamirpur (H.P.)-177 005, INDIA

autor

Bharti P. K.

• Department of Applied Sciences, National Institute of Technology, Deemed University Hamirpur (H.P.)-177 005, INDIA

autor

Sharma R. C.

• Department of Mathematics, Himachal Pradesh University Summer Hill, Shimla-171 005, INDIA

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