Object

Title: Compressible analysis of Bénard Convection of magneto rotatory couple-stress fluid

Creator:

Mehta, C.B. ; Singh, M.

Date:

2018

Resource Type:

artykuł

Contributor:

Jurczak, Paweł - red.

Group publication title:

IJAME, volume 23 (2018)

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Format:

application/pdf

Resource Identifier:

oai:zbc.uz.zgora.pl:72919

DOI:

10.1515/ijame-2018-0006

Pages:

91-105

Source:

IJAME, volume 23, number 1 (2018)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

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