The governing equations of two-dimensional steady density currents are solved numerically using a finite volume method. The turbulence model, based on standard model, is used for the turbulence closure. In this method, all Reynolds stress equations are replaced with both a transport equation for and an elliptic relaxation equation for , a parameter closely related to the pressure strain redistribution term. The Simple-C procedure is used for pressure-velocity coupling. In addition, Boussinesq’s approximation is used to obtain the momentum equation. The computed height of the progressive density current is compared to the measured data in the literature, resulting in good agreement. The present results show that the flow rate is the most dominant parameter among those affecting the density currents hydrodynamics. The results also show that the turbulence model is able to predict and simulate the characteristics of the low Reynolds turbulent density currents successfully, although it is based on a high Reynolds number turbulence model, i.e., the standard model. The use of boundary layer convention, saying that the density current’s height is a height at which the concentration is of the inlet concentration, seems to yield reasonable results.
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e-mail: nimakhakzad@yahoo.com
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September 2007
Technical Papers
Numerical Investigation of Steady Density Currents Flowing Down an Incline Using Turbulence Model
Nima Khakzad,
Nima Khakzad
Graduate student
School of Mechanical Engineering,
e-mail: nimakhakzad@yahoo.com
Sharif University of Technology
, Azadi Ave., P.O.Box 11365-9567, Tehran, Iran
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Bahar Firoozabadi,
Bahar Firoozabadi
Assistant Professor
School of Mechanical Engineering,
e-mail: firoozabadi@sharif.ir
Sharif University of Technology
, Azadi Ave., P.O.Box 11365-9567, Tehran, Iran
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Bijan Farhanieh
Bijan Farhanieh
Professor
School of Mechanical Engineering,
e-mail: bifa@sharif.ir
Sharif University of Technology
, Azadi Ave., P.O.Box 11365-9567, Tehran, Iran
Search for other works by this author on:
Nima Khakzad
Graduate student
School of Mechanical Engineering,
Sharif University of Technology
, Azadi Ave., P.O.Box 11365-9567, Tehran, Irane-mail: nimakhakzad@yahoo.com
Bahar Firoozabadi
Assistant Professor
School of Mechanical Engineering,
Sharif University of Technology
, Azadi Ave., P.O.Box 11365-9567, Tehran, Irane-mail: firoozabadi@sharif.ir
Bijan Farhanieh
Professor
School of Mechanical Engineering,
Sharif University of Technology
, Azadi Ave., P.O.Box 11365-9567, Tehran, Irane-mail: bifa@sharif.ir
J. Fluids Eng. Sep 2007, 129(9): 1172-1178 (7 pages)
Published Online: March 30, 2007
Article history
Received:
May 31, 2006
Revised:
March 30, 2007
Citation
Khakzad, N., Firoozabadi, B., and Farhanieh, B. (March 30, 2007). "Numerical Investigation of Steady Density Currents Flowing Down an Incline Using Turbulence Model." ASME. J. Fluids Eng. September 2007; 129(9): 1172–1178. https://doi.org/10.1115/1.2754318
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