Computation of Turbulent Flow in a Thin Liquid Layer of Fluid Involving a Hydraulic Jump

[+] Author and Article Information
M. M. Rahman, A. Faghri, W. L. Hankey

Department of Mechanical and Materials Engineering, Wright State University, Dayton, Ohio 45435

J. Fluids Eng 113(3), 411-418 (Sep 01, 1991) (8 pages) doi:10.1115/1.2909511 History: Received April 03, 1990; Online May 23, 2008


Numerically computed flow fields and free surface height distributions are presented for the flow of a thin layer of liquid adjacent to a solid horizontal surface that encounters a hydraulic jump. Two kinds of flow configurations are considered: two-dimensional plane flow and axisymmetric radial flow. The computations used a boundary-fitted moving grid method with a k-ε model for the closure of turbulence. The free surface height was determined by an optimization procedure which minimized the error in the pressure distribution on the free surface. It was also checked against an approximate procedure involving integration of the governing equations and use of the MacCormack predictor-corrector method. The computed film height also compared reasonably well with previous experiments. A region of recirculating flow as found to be present adjacent to the solid boundary near the location of the jump, which was caused by a rapid deceleration of the flow.

Copyright © 1991 by The American Society of Mechanical Engineers
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