Refine your search
Collections
Co-Authors
Journals
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
J. M, Shivaraja.
- Linear, Parabolic, and Inverted Parabolic Temperature Gradients Impact on DoubleDiffusive Rayleigh-Darcy Convection: a composite system with couple stress fluid
Abstract Views :79 |
PDF Views:0
Authors
Affiliations
1 Associate Professor,, IN
2 Research Scholar Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru-560 001, Karnataka,, IN
1 Associate Professor,, IN
2 Research Scholar Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Nrupathunga University, Nrupathunga Road, Bengaluru-560 001, Karnataka,, IN
Source
Journal of Mines, Metals and Fuels, Vol 70, No 7A (2022), Pagination: 90-102Abstract
The influence of linear, parabolic and inverted parabolic temperature gradients on the onset of double-diffusive Rayleigh-Darcy convection is theoretically investigated. The composite system is constrained horizontally by adiabatic and free-free thermal boundaries, and appropriate interfacial boundary conditions are used to connect fluid-porous layers. The regular perturbation approach is used to determine the critical Rayleigh number expression for different temperature gradients. Graphs are used to investigate the significance of a variety of dimensionless characteristics. The couple stress parameter, couple stress viscosity ratio, solute Rayleigh number, and solute diffusivity ratio clearly have a stabilizing effect on the system, whereas the Darcy number and thermal diffusivity ratio destabilize it.Keywords
Double-Diffusive Convection, Couple stress fluid, Thermal Rayleigh number, Solute Rayleigh number, Composite
References
- Chen, F and Chen C.F., Onset of Finger convection in a horizontal porous layer underlying a fluid layer, J. Heat transfer, 110, 403, 1998.
- Gaikwad SN, Kouser S. Double diffusive convection in a couple stress fluid saturated porous layer with internal heat source. Int J Heat Mass Transf. ; 78:1254 1264, 2014.
- Gangadharaiah, Y. H. “Double Diffusive Surface Driven Convection in a Fluid- Porous System.” International Journal of Thermofluid Science and Technology 8: 080301, 2021.
- Gobin, D., B. Goyeau, and J-P. Songbe. “Double diffusive natural convection in a composite fluid-porous layer.” 234-242, 1998.
- Harfash AJ, Meften GA. Couple stresses effect on instability and nonlinear stability in a double diffusive convection. Appl Math Comput.; 341:301 320, 2019.
- Malashetty MS, Pal D, Kollur P. Double diffusive convection in a Darcy porous medium saturated with a couple stress fluid. Fluid Dyn Res.; 42:035502 035523, 2010.
- Malashetty MS, Kollur P. The onset of double diffusive convection in a couple stress fluid saturated anisotropic porous layer. Transp Porous Media; 86:435 459, 2011.
- Nield D. A., “Onset of thermohaline convection in a porous medium,” Water Resources Research, vol.4, pp.553–560, 1968.
- Rudraiah, N. P. K. Srimani, and R. Friedrich, “Finite amplitude convection in a twocomponent fluid-saturated porous layer,” International Journal of Heat and Mass Transfer, vol. 25, no. 5, pp. 715–722, 1982.
- Schmitt R., “Double diffusion in oceanography,” Annual Review of Fluid Mechanics, vol. 26, no. 1, pp. 255–285, 1994.
- Sharma, R. C., and Rajender Singh Chandel. “Effect of suspended particles on couple-stress fluid heated and soluted from below in porous medium.” Journal of porous media 7, no. 1 2004.
- Sharma, R. C., Y. D. Sharma, and Rajender Singh Chandel. “On couple-stress fluid permeated with suspended particles heated from below.” Archives of Mechanics 54, no. 4: 287-298, 2002.
- Shivakumara IS, Lee J, Kumar SS, Devaraju N. Linear and nonlinear stability of double diffusive convection in a couple stress fluid– saturated porous layer. Arch Appl Mech.; 81(11), 1697 1715, 2011.
- Srivastava, Atul K., and P. Bera. “Influence of chemical reaction on stability of thermo-solutal convection of couple-stress fluid in a horizontal porous layer.” Transport in porous media 97, no. 2: 161-184, 2013.
- Sumithra. R., Mathematical modeling of Hydrothermal Growth of Crystals as Double diffusive magnetoconvection in a composite layer bounded by rigid walls, Vol.4, No. 02,779- 791, Int. J. Engg Sci. and Technology, 2012.
- Sumithra, R. “Double diffusive magneto Marangoni convection in a composite layer.” International Journal of Application or Innovation in Engineering and Management (IJAIEM) 3: 12-25, 2014.
- Sumithra, R., B. Komala, and N. Manjunatha. “Darcy-Benard double diffusive Marangoni convection with Soret effect in a composite layer system.” Malaya Journal of Matematik (MJM) 8, no. 4, 1473-1479, 2020.
- Taunton J. W., E. N. Lightfoot, and T. Green, “Thermohaline instability and salt fingers in a porous medium,” Physics of Fluids, vol. 15, pp. 748–753, 1972.
- Tuner J. S., and H. E. Huppert, “Double-diffusive convection,” Journal of Fluid Mechanics, vol. 106, pp. 299–329, 1981.
- Venkatachalappa, M, Prasad, V., Shivakumara, I, S. and Sumithra, R., Hydrothermal growth due to double diffusive convection in composite materials, Proceedings of 14th National Heat and Mass Transfer Conference and 3rd ISHMT – ASME Joint Heat and Mass transfer conference, December 29-31, 1997.