Author:
Singh Rajan,Kumar Kapil,Singh B.K.
Abstract
The onset of multi-diffusive convection problem is analysed theoretically to include the effects of suspended particles and rotation through a porous medium. In the present paper, Brinkman model is considered for the porous medium. The variations in fluid density are due to the variation in stratifying components having different thermal and solute diffusivities. Linear stability analysis procedure along with normal mode method is employed to obtain a dispersion relation in terms of thermal and solute Rayleigh number. Further, the case of stationary convection (when the growth rate vanishes) is also discussed and a dispersion relationship between thermal and solute Rayleigh numbers is obtained to study the effect of various embedded parameters. The critical thermal and solute Rayleigh numbers can be obtained with the help of critical dimensionless wave number for varying values of physical parameters.
Publisher
Granthaalayah Publications and Printers
Subject
General Earth and Planetary Sciences,General Environmental Science
Reference18 articles.
1. Boussinesq, J. (1903). Theorie analytique de la Chaleur. Gauthier-Villars 2, 172. https://books.google.co.uk/books/about/Theorie_analytique_de_la_Chaleur.html?id=O08NmgEACAAJ&redir_esc=y
2. Brinkman, H.C. (1947a). A Calculation of The Viscous Force Exerted By A Flowing Fluid on A Dense Swarm of Particles. Applied Scientific Research, A1, 27-34. Https://Doi.Org/10.1007/BF02120313
3. Brinkman, H.C. (1947b). On The Permeability of Media Consisting of Closely Packed Porous Particles. Applied Scientific Research, A1, 81-86. Https://Doi.Org/10.1007/BF02120318
4. Chandrasekhar, S.C. (1981). Hydrodynamic and Hydromagnetic Stability. New York : Dover Publication. https://books.google.co.uk/books/about/Hydrodynamic_and_Hydromagnetic_Stability.html?id=oU_-6ikmidoC&redir_esc=y
5. Huppert, H., & Turner, J. (1981). Double-Diffusive Convection. Journal of Fluid Mechanics, 106, 299-329. Https://Doi.Org/10.1017/S0022112081001614