Free Convection in an Infinite Porous Dusty Medium Induced by Pulsating Point Heat Source
Free convection effects and heat transfer due to a pulsating point heat source embedded in an infinite, fluid saturated, porous dusty medium are studied analytically. Both velocity and temperature fields are discussed in the form of series expansions in the Rayleigh number, for both the fluid and particle phases based on the mean heat generation rate from source and on the permeability of the porous dusty medium. This study is carried out by assuming the Rayleigh number small and the validity of Darcy-s law. Analytical expressions for both phases are obtained for second order mean in both velocity and temperature fields and evolution of different wave patterns are observed in the fluctuating part. It has been observed that, at the vicinity of the origin, the second order mean flow is influenced only by relaxation time of dust particles and not by dust concentration.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1334079Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1082
 Kazakevich, F.P. and Krapivin, A.M., Investigation of heat transfer and aerodynamical resistance in tube assemblies when the flow of gas is dust-laden. Investiya Vysshikh Uchebnykh Zavedenii Energetika, 1958, 1, 101 (in Russian).
 Farbar, L. and Morley, M.J., Heat transfer to flowing gas-solid mixtures in a circular tube. Industrial Engineering Chemistry. 1957, 49, 1143.
 Farbar, L. and Depew, C.A., Heat transfer effects to gas-solid mixtures using solid spherical particles of uniform size. I and EC Fundamentals 1963, 2, 130.
 Sukomel, A.S. Tsvetkov, F.F., and Kerimov, R.V., The study of local heat transfer from a tube wall to a turbulent flow of gas bearing suspended solid particles. Teploenergetika, 1967, 14, 77.
 Tien, C.L. and Quan, V., Local heat characteristics of air-glass and air- lead mixtures in turbulent pipe flow. ASME 62-HT-15, 1962.
 Tien, C.L., Heat transfer by a turbulently flowing fluid-solids mixtures in a pipe. Transactions of ASME, Journal of Heat transfer 1961, 83, 183.
 Depew, C.A., and Kramer, T.J., Heat transfer to flowing gas-solid mixtures. Advances in heat transfer 1973, 9.
 Ramamurthy, V., Free convection effects on the Stokes problem for an infinite vertical plate in a dusty fluid. Journal of Mathematics and Physics science. 1990, 24, 297.
 Dalal, D.C., Unsteady flow and heat transfer of a dusty fluid Ph.D. thesis, IIT Kharagpur India. 1994.
 Saffman, P.G., On the stability of a laminar flow of a dusty gas. Journal of Fluid mechanics 1961, 13, 120-128.
 Marble, F.E., Dynamics of a gas containing small solid particles. Proceedings of fifth AGARD Colloquium Combustion and Propulsion (1962). Pergamon Press, Oxford 1963, pp 175-213.
 Helmy, K.A., On free convection of a dusty conducting fluid, Indian J. Pure Appl. Math. 32 (2001) no. 3, 447-467.
 Venkataraman, V. and Kannan, K., Numerical solution of Stokes problem for free convection effects in Dissipative dusty medium, IJMMS 72 (2004), 3975-3988.
 Wooding, R.A., Convection in a saturated porous medium at large Rayleigh number or Peclet number, J. Fluid mechanics 15 (1963 ) 527- 544.