Coupled Laminar Heat Transfer and Sublimation Mass Transfer in a Duct

[+] Author and Article Information
E. M. Sparrow, E. C. Spalding

Universidade do Brasil, Rio de Janeiro, Brasil

J. Heat Transfer 90(1), 115-124 (Feb 01, 1968) (10 pages) doi:10.1115/1.3597440 History: Received July 27, 1967; Online August 25, 2011


Consideration is given to gas flow through a parallel-plate channel whose walls are coated with a sublimable material. The duct walls are thermally insulated from the environment, with the result that the heat of sublimation is supplied by the flowing gas stream. The formulation requires simultaneous consideration of the energy and diffusion equations along with highly coupled boundary conditions. An analytical solution is facilitated by employing a linear saturation state relationship for the vapor of the subliming solid, the suitability of which is given support by numerical comparisons. The resulting eigenvalue problem does not fall within the range of the conventional Sturm-Liouville system. A special integral condition was derived which serves as an orthogonality relation, while various numerical comparisons were made to verify the computational validity of the series solution. In particular, an independent boundary-layer solution is in excellent agreement with the series solution in the region just downstream of the entrance section. Numerical results are given for various quantities of interest including the bulk and wall temperatures and mass fractions, the wall heat flux, temperature and mass fraction profiles, and the length of the development region.

Copyright © 1968 by ASME
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