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TECHNICAL BRIEFS

Use of Streamwise Periodic Boundary Conditions for Problems in Heat and Mass Transfer

[+] Author and Article Information
Steven B. Beale

 National Research Council, Montreal Road, Ottawa, K1A 0R6, Canadasteven.beale@nrc-cnrc.gc.ca

J. Heat Transfer 129(4), 601-605 (Dec 18, 2006) (5 pages) doi:10.1115/1.2709976 History: Received March 28, 2006; Revised December 18, 2006

Fully developed periodic boundary conditions have frequently been employed to effect performance calculations for heat and mass exchange devices. In this paper a method is proposed, which is based on the use of primitive variables combined with the prescription of slip values. Either pressure difference or mass flow rate may be equivalently prescribed. Both constant wall temperature (Dirichlet) and constant heat flux (Neumann) conditions may be considered, as well as the intermediate linear (Robin) boundary condition. The example of an offset-fin plate-fin heat exchanger is used to illustrate the application of the procedure. The mathematical basis by which the method may be extended to the consideration of mass transfer problems with arbitrary boundary conditions, and associated continuity, momentum, and species sources and sinks is discussed.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Slip boundary conditions for a staggered scheme, constant wall flux

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Figure 2

Offset-fin plate-fin geometry

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Figure 3

Velocity vectors (m/s) for Re=500

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Figure 4

Pressure (Pa) distribution for Re=500

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Figure 5

Temperature (°C) distribution for Re=500

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Figure 6

Local Nusselt number for Re=500

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Figure 7

Dimensional pressure p (Pa) and temperature T (°C), as well as reduced pressure p̃ (Pa) and nondimensional temperature θ, for Re=500 along the symmetry line y=p∕4, z=b∕2

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Figure 8

Friction and heat transfer factors compared with experimental data

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