Analysis of Inclined Wall Plume by the k-ε Turbulence Model

[+] Author and Article Information
Yusuke Fukushima, Norio Hayakawa

Department of Civil Engineering, Nagaoka University of Technology, Nagaoka, Niigata, 940-21, Japan

J. Appl. Mech 57(2), 455-465 (Jun 01, 1990) (11 pages) doi:10.1115/1.2892011 History: Received December 12, 1988; Revised April 24, 1989; Online March 31, 2008


The similarity solution of inclined wall plume is obtained analytically. The mathematical model used herein consists of the continuity equation of flow, the momentum balance equation in the flow direction, the diffusion equation of concentration, the equation of kinetic energy of turbulence and the equation of viscous dissipation rate of turbulence. It is shown that this set of equations has the similarity solution which can be solved numerically for each angle of the inclined wall. This numerical model is applied to the wide range of the slope angle, which includes the vertical wall plume as the special case and the nearly horizontal wall plume. The velocity and concentration profiles of the inclined wall plume are explained well by the similarity solutions.

Copyright © 1990 by The American Society of Mechanical Engineers
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