Refine your search
Collections
Co-Authors
Year
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Aruna, A. S.
- Non-linear Rayleigh-Benard Magnetoconvection in Temperature-sensitive Newtonian Liquids with Variable Heat Source
Abstract Views :213 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, MSRIT, Bengaluru, IN
2 Department of Mathematics, RRIT, Bengaluru, IN
1 Department of Mathematics, MSRIT, Bengaluru, IN
2 Department of Mathematics, RRIT, Bengaluru, IN
Source
The Journal of the Indian Mathematical Society, Vol 88, No 1-2 (2021), Pagination: 08–22Abstract
The present paper aims at weak non-linear stability analysis followed by linear analysis of nite-amplitude Rayleigh-Benard magneto convection problem in an electrically conducting Newtonian liquid with heat source/sink. It is shown that the internal Rayleigh number, ther- morheological parameter, and the Chandrasekhar number in uence the onset of convection. The generalized Lorenz model derived for the prob- lem is essentially the classical Lorenz model but with some coecient depending on the variable heat source (sink), viscosity, and the applied magnetic eld. The result of the parameters' in uence on the critical Rayleigh number explains their in uence on the Nusselt number. It is found that an increasing strength of the magnetic eld is to stabilize the system and diminishes heat transport whereas the heat source and variable viscosity in-tandem to work system unstable and enhances heat transfer.Keywords
Rayleigh-Benard convection, Lorenz model, Magnetic eld, Temperature-sensitive Newtonian liquids
References
- B. S. Bhadauria and P. Kiran, Weak nonlinear double-diusive magnetoconvection in a Newtonian liquid under temperature modulation, Int. J. Engg. Math., 296216. (2014), 1-14.
- S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Oxford University Press, London, 1961.
- P. G. Drazin and D. H. Reid, Hydrodynamic Stability, Cambridge University Press, Cambridge, 2004.
- D. P. McKenzie, J. M. Roberts and N. O. Weiss, Convection in the earth's mantle: Towards a numerical simulation, J. Fluid Mech., 62. (1974), 465-538.
- Y. Nakagawa, Experiments on the inhibition of thermal convection by a magnetic eld, Proc. R. Soc. London Ser., 240. (1220)(1957), 108-113.
- M. R. E. Proctor and N. O. Weiss, Magnetoconvection, Rep. Prog. Phys., 45 (1981), 1317-1379.
- V. Ramachandramurthy and A. S. Aruna, Rayleigh-Benard-Taylor convection in temperature-sensitive Newtonian liquids with heat source/sink, Int. J. Engg. Res. and Tech., 7(7)(2018), 166-170.
- V. Ramachandramurthy, A. S. Aruna and N. Kavitha, Benard-Taylor convection in temperature-dependent variable viscosity Newtonian liquids with internal heat source, Int. J. Appl. and Comp. Math., 6(2) (2020), 1-27.
- P. G. Siddheshwar and S. Pranesh, Eect of a non-uniform temperature gradient on Rayleigh-Benard convection in a micro polaruid, Int. J. Eng. Sci., 36 (11)(1998), 1183-1196.
- P. G. Siddheshwar and A. T. Chan, Thermorheological eect on Benard and Marangoni convections in anisotropic porous media, Hydrodynamics: Theory and applications, 1 (2004), 471-476.
- P. G. Siddheshwar, Thermorheological eect on magneto-convection in weak electrically conducting fluids under 1g or g. Pramana J. Physics, 62 (2004), 61-68.
- P. G. Siddheshwar, V. Ramachandramurthy and D. Uma, Rayleigh-Benard and Marangoni magnetoconvection in Newtonian liquid with thermorheological eects, Int. J. of Eng. Sci., 49 (2011), 1078-1094.
- P. G. Siddheshwar, G. N. Sekhar and G. Jayalatha, Surface tension driven convection in viscoelastic liquids with thermorheological eect, Int. Comm. Heat and Mass Trans., 38 (2011), 468-473.
- P. G. Siddheshwar and P. Stephen Titus, Nonlinear Rayleigh-Benard convection with variable heat source, J. Heat transfer, 135 (122502)(2011), 1-12.
- K. E. Torrance and D. L. Turcotte, Thermal convection with large viscosity variations, J. Fluid Mech., 47 (1)(1971), 113-125.