A pseudospectral analysis of laminar natural convection and heat transfer between two inclined parallel plates

Kasapoğlu, Serkan
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 and spanwise directions. For these directions, periodic boundary conditions are used and for the normal direction constant wall temperature and no slip boundary conditions are used. Unsteady Navier-Stokes and energy equations are solved using a pseudospectral C code in order to obtain velocity and temperature profiles inside the channel. Fourier series are used to expand the variables in x 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 ?,which is the inclination angle, and with Racos? to compare the results with the literature. Additionally, non-dimensional velocity values and streamlines of the fluid are presented with proper plots.


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Citation Formats
S. Kasapoğlu, “A pseudospectral analysis of laminar natural convection and heat transfer between two inclined parallel plates,” M.S. - Master of Science, Middle East Technical University, 2005.