Masters Theses

Abstract

"In this investigation an analytical study is performed to determine the effect of axial heat conduction on laminar forced convection for longitudinal flow of liquid metals along a horizontal cylinder and a flat plate. ii

The flow and thermal boundary layers for the problems under consideration do not admit similarity solutions, the non-similarity arising from the transverse curvature; ε = (4/R) (vx/u ∞) ½ of the cylindrical surface and from co the effect of the axial heat conduction expressible as Ω = 1/Pex , where Pex is the local Peclet number. The governing conservation equations along with their respective boundary conditions were solved by the local non-similarity method. In this method, all the terms in the conservation equations are retained, while only terms in the derived subsidiary equations are selectively deleted according to the levels of truncation. The effects of transverse curvature on the flow boundary layer, and the effects of Prandtl numl:ler, transverse curvature, and axial heat conduction param.eter or Peclet number on the thermal boundary layer are analyzed.

Numerical results are presented for liquid metals having representative Prandtl numbers of 0.03, 0.008, and 0.003, with values of the transverse curvature ε ranging from O (i.e., flat plate) to 4 and the axial heat conduction parameter Ω from O (i.e., no axial heat conduction) to O. 20. The results show that the wall shear stress and surface heat transfer increase with increasing value of the curvature. The surface heat transfer is also enhanced by an increase in Prandtl number or an increase in the axial heat conduction parameter, that is a decrease in Peclet number.

A comparison of the results from the local similarity model and local non-similarity two-equation and three-equation models shows that the three-equation model gives the best results, even though the results from the two-equation model almost coincide with those of the three-equation model. These results also prove the accuracy of the local non-similarity method of solution employed in this analysis" -- Abstract, pp. ii-iii

Advisor(s)

Chen, T. S.

Committee Member(s)

Rhea, L. G.
Edwards, D. Ray

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1974

Pagination

x, 99 pages

Note about bibliography

Includes bibliographical references (pages 55-56)

Rights

© 1974 Marvin Eugene Lohmann, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 3073

Print OCLC #

6013613

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