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A Pseudospectral Analysis of Laminar Natural Convection Flow and Heat Transfer Between Two Inclined Parallel Plates

[+] Author Affiliations
Serkan Kasapoglu, Ilker Tari

Middle East Technical University

Paper No. IMECE2006-14302, pp. 423-430; 8 pages
doi:10.1115/IMECE2006-14302
From:
  • ASME 2006 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Volume 1
  • Chicago, Illinois, USA, November 5 – 10, 2006
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-4784-5 | eISBN: 0-7918-3790-4
  • Copyright © 2006 by ASME

abstract

Three dimensional laminar natural convection flow of and heat transfer in incompressible air between two inclined parallel plates are analyzed with the Boussinesq approximation by using spectral methods. The plates are assumed to be infinitely long in streamwise (x) and spanwise (z) directions. For these directions, periodic boundary conditions are used and for the normal direction (y), constant wall temperature and no slip boundary conditions are used. Unsteady Navier-Stokes and energy equations are solved using a pseudospectral approach in order to obtain velocity and temperature fields inside the channel. Fourier series are used to expand the variables in × and z directions, while Chebyshev polynomials are used to expand the variables in y direction. By using the temperature distribution between the plates, local and average Nusselt numbers (Nu) are calculated. Nu values are correlated with φ, which is the inclination angle, and with Ra·cosφ to compare the results with the literature.

Copyright © 2006 by ASME

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