Free and forced convection around line sources of heat and heated cylinders in porous media

Kurdyumov, V. and Liñán Martínez, Amable (2001). Free and forced convection around line sources of heat and heated cylinders in porous media. "Journal of Fluid Mechanics", v. 427 ; pp. 389-409. ISSN 0022-1120.

Description

Title: Free and forced convection around line sources of heat and heated cylinders in porous media
Author/s:
  • Kurdyumov, V.
  • Liñán Martínez, Amable
Item Type: Article
Título de Revista/Publicación: Journal of Fluid Mechanics
Date: 2001
Volume: 427
Subjects:
Freetext Keywords: flow through porous media; forced convection; natural convection; free convection; line sources; heat sources; heated cylinders; porous media; steady two dimensional free convection; unbounded saturated porous media; Boussinesq equations; velocities; Darcy law; nondimensional formulation; numerical solution; free stream velocity; angle of inclination; asymptotic form; far field description; flow around heated cylinders; thermal wake; free stream; outer irrotational flow; sink; temperature distribution; Rayleigh numbers; Peclet numbers; inner region; outer region; asymptotic analysis; Nusselt number; pure free convection; pure forced convection;
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Motopropulsión y Termofluidodinámica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

An analysis is presented for the steady, two-dimensional, free convection around line sources of heat and heated cylinders in unbounded saturated porous media. It is extended to account also for the effects of forced convection. The study is based on the Boussinesq equations, with the velocities calculated using Darcy's law. The analysis begins with the non-dimensional formulation and numerical solution of the problem of pure free convection around a line source of heat. When this analysis is extended to include the effects of forced convection, two parameters appear in the non-dimensional formulation: the non-dimensional value, V/sub infin/, of the free-stream velocity and its angle gamma of inclination with respect to the vertical. We first describe the asymptotic form of the solution for large and small values of the distance to the source. The far-field description, which is also applicable to the flow around heated cylinders, is needed to facilitate the numerical solution of the problem. It includes a thermal wake, aligned with the free stream, and an outer irrotational flow with a sink and a vortex at the line source. The temperature distribution near the source involves a constant A/sub 0/(V/sub infin/, gamma), to be calculated with the numerical solution of the complete problem, which is used in the evaluation of the heat transfer from heated cylinders when the Rayleigh and Peclet numbers are small compared with unity. In this case we find an inner region where heat conduction is dominant, and an outer region where the cylinder appears as a line source of heat. The asymptotic analysis is complemented with the numerical solution of the general problem for circular cylinders with a wide range of Rayleigh numbers and some representative values of V/sub infin/ and gamma. We give correlations for the Nusselt number in the limiting cases of pure free convection and pure forced convection

More information

Item ID: 859
DC Identifier: http://oa.upm.es/859/
OAI Identifier: oai:oa.upm.es:859
Official URL: http://journals.cambridge.org/action/displayJournal?jid=FLM
Deposited by: Archivo Digital UPM
Deposited on: 22 Feb 2008
Last Modified: 20 Apr 2016 06:34
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