Compressible analysis of Bénard convection of magneto rotatory couple-stress fluid

• Autorzy: Mehta C. B. , Singh M.

Identyfikatory

DOI

10.1515/ijame-2018-0006

• Języki publikacji: EN

Abstrakty

EN

Thermal Instability (Benard’s Convection) in the presence of uniform rotation and uniform magnetic field (separately) is studied. Using the linearized stability theory and normal mode analyses the dispersion relation is obtained in each case. In the case of rotatory Benard’s stationary convection compressibility and rotation postpone the onset of convection whereas the couple-stress have duel character onset of convection depending on rotation parameter. While in the absence of rotation couple-stress always postpones the onset of convection. On the other hand, magnetic field on thermal instability problem on couple-stress fluid for stationary convection couple-stress parameter and magnetic field postpones the onset of convection. The effect of compressibility also postpones the onset of convection in both cases as rotation and magnetic field. Graphs have been plotted by giving numerical values to the parameters to depict the stationary characteristics. Further, the magnetic field and rotation are found to introduce oscillatory modes which were non-existent in their absence and then the principle of exchange of stability is valid. The sufficient conditions for non-existence of overstability are also obtained.

Słowa kluczowe

EN

couple-stress fluid; compressibility; rotation; magnetic field; thermal convection

PL

konwekcja termiczna; pole magnetyczne; rotacja; ściśliwość

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2018
• Tom: Vol. 23, no. 1
• Strony: 91--105
• Opis fizyczny: Bibliogr. 16 poz., wykr.

Twórcy

autor

Mehta C. B.

• Department of Mathematics Govt. Excellence Degree College Sanjauli Distt Shimla (H.P), INDIA

autor

Singh M.

• Department Mathematics Govt. PG College Seema (Rohru) Distt Shimla(H.P)-171207, INDIA

Bibliografia

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• [12] Kumar P., Lal R. and Sharma P. (2004): Effect of rotation on thermal instability in couple-stress elastico-viscous fluid. - Z. Naturforsch., vol.59a, pp.407-411.
• [13] Sharma R.C. (1977): Thermal instability in compressible fluids in the presence of rotation and magnetic field. - J. Math. Anal. Appl., vol.60, pp.227-235.
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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018)