Date of Award

Summer 1980

Document Type

Thesis

Department

Mechanical & Aerospace Engineering

Program/Concentration

Mechanical Engineering

Committee Director

C. S. Reddy

Committee Member

R. L. Ash

Committee Member

J. M. Kuhlman

Call Number for Print

Special Collections; LD4331.E56A63

Abstract

A two dimensional natural convective flow in a shallow inclined enclosure has been considered. A mathematical model has been developed to simulate the flow. The system of governing equations has been solved using finite-differencing techniques and the alternating direction implicit method.

The effect of the Raleigh number, the enclosure aspect ratio and orientation on the heat transfer and flow development have been studied by determining the Nusselt numbers and analyzing a number of contour maps of temperature and stream function fields, and velocity profiles. The Nusselt number has been found to increase with the Raleigh number, the enclosure aspect ratio, and the enclosure orientation up to a certain extent. Heat transfer at small Raleigh numbers (Ra < 103) and small aspect ratios (Ar < 0.2) has been observed to take place mostly by pure conduction. Multicellular flows have been noted in the cases where Ra > 105, Ar > 0.4-, and 0 > -30°; and unicellular flows in the other cases.

The results have been compared with the existing results wherever possible and found to agree favorably.

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DOI

10.25777/2938-8956

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