Thermorheological effect on RayleighBard magnetoconvection in a biviscous Bingham fluid with rough boundary condition on velocity and Robin boundary condition on temperature
- Title
- Thermorheological effect on RayleighBard magnetoconvection in a biviscous Bingham fluid with rough boundary condition on velocity and Robin boundary condition on temperature
- Creator
- Nandal R.; Siddheshwar P.G.
- Description
- The thermorheological effect on the onset of RayleighBard convection in a biviscous Bingham fluid in the presence of a horizontal magnetic field is investigated considering rough boundary conditions on velocity and Robin boundary conditions on temperature. The viscosity of the electrically conducting fluid is assumed to be sensitive to temperature variation. Linear and global nonlinear stability analyses are performed using the Chebyshev pseudospectral method to determine the existence of instability or otherwise. A general interpretation is made from the results to show the effects of the magnetic field and the variable viscosity on the system's stability. The biviscous Bingham parameter and the Chandrasekhar number are shown to have a delay in the onset of convection, while the effect of temperature sensitivity is to advance the onset. It is found that the results of linear and global nonlinear stability are not in agreement, so the region of subcritical instability exists. Also, the results obtained for RayleighBard convection agree pretty well with those of Platten and Legros and Siddheshwar et al. for the limiting cases. 2023 Wiley Periodicals LLC.
- Source
- Heat Transfer, Vol-52, No. 4, pp. 2943-2974.
- Date
- 2023-01-01
- Publisher
- John Wiley and Sons Inc
- Subject
- biviscous Bingham fluid; energy method; general boundary condition; nonlinear analysis; variable viscosity
- Coverage
- Nandal R., Department of Mathematics, Centre for Mathematical Needs, Christ (Deemed to be University), Bengaluru, India; Siddheshwar P.G., Department of Mathematics, Centre for Mathematical Needs, Christ (Deemed to be University), Bengaluru, India
- Rights
- Restricted Access
- Relation
- ISSN: 26884534
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Nandal R.; Siddheshwar P.G., “Thermorheological effect on RayleighBard magnetoconvection in a biviscous Bingham fluid with rough boundary condition on velocity and Robin boundary condition on temperature,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 27, 2025, https://archives.christuniversity.in/items/show/14193.