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Response of wall heat transfer to flows along a cylindrical cavity and to seepage flows in the surrounding medium

Technische Universiteit Eindhoven
Publication Date
  • Heat Transfer General
  • Physical Transport In Porous Media
  • Numerical Fluid Mechanics
  • Heat Convection
  • Porous Media
  • Computational Fluid Dynamics
  • Design
  • Mathematics


CASA-05-35N 1 Response of wall heat transfer to flows along a cylindrical cavity and to seepage flows in the surrounding medium Jim M.B. Brown 1 *, Alan E.Vardy 1 & Arris S.Tijsseling 2 1 University of Dundee, Dundee DD1 4HN, U.K. 2 Eindhoven University of Technology, The Netherlands *Author to whom correspondence should be addressed *Tel: +44-1382-344505; Fax: +44-1382-344816; Email: [email protected] 2 ABSTRACT Rates of heat transfer between the wall of a cylindrical cavity (pipe/duct/tunnel/etc) and the fluid flowing along it can be influenced by changing conditions outside the cavity as well as by changing conditions within it. In the case of buried pipes or tunnels, and also in many other physical processes, the external environment may be complex, involving seepage flows through a porous medium as well as heat transfers due to both conduction and convection in the porous medium. This paper presents an analytical analysis that enables the external flow and thermal conditions to be solved simultaneously with corresponding internal conditions, enabling time- dependent wall temperatures and rates of heat transfer to be determined exactly for sufficiently simple geometrical configurations. The analysis is used to predict time-dependent temperatures and heat fluxes at the wall of a cavity for a range of prescribed conditions, enabling the importance of timescales to be established. In some special cases, the method could be used for design in its own right, but this is unlikely to be its most important function. Rather, the analysis is envisaged as a method of providing data for the validation of numerical methods of analysis that, in turn, will be used for practical design with both simple and complex geometrical conditions. This is valuable because it can be next to impossible to obtain experimental data of sufficient quality a

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