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Applicability of Reichardt's Hypothesis to the Prediction of Velocity Field of Multiple Parallel Plane Jets

Published online by Cambridge University Press:  05 May 2011

A. Nasr*
Affiliation:
School of Railway Engineering, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
J. Lai*
Affiliation:
School of Engineering and Information Technology, The University of New South Wales at the Australian Defence Force Academy, Canberra, ACT 2600, Australia
*
* Assistant Professor
** Professor
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Abstract

In this paper the velocity distribution for multiple parallel plane jets based on the superposition of Reichardt's solution for single free jet is derived. The extend of the applicability of Reichardt's hypothesis to prediction of multiple parallel plane jets is examined. Both ventilated and unventilated two parallel plane jets data published in the literature and obtained for this study were used for comparisons with the theoretical results obtained from Reichardt's hypothesis. LDA measurements of mean streamwise velocities and turbulence characteristics of an array of 5 parallel plane jets were also made in order to establish the conditions under which this heuristic approach is valid. Results show that provided the pressure gradient in the lateral direction is small and hence the deflection of the individual jet center line is small, there is a good agreement between experimental results and predictions based on Reichardt's hypothesis for multiple parallel plane jets.

Type
Technical Note
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

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References

1.Nasr, A. and Lai, J. C. S., “Comparison of Flow Characteristics in the Near Field of Two Parallel Planes Jets and an Offset Plane Jet,” International Journal of Physics of Fluids, 9, pp. 29192931 (2004).CrossRefGoogle Scholar
2.Fujisawa, N., et al. , “Interaction of Two Parallel Plane Jets of Different Velocities,” Journal of Visualization, 7, pp. 135142 (2004).CrossRefGoogle Scholar
3.Tomimatsu, et al., “PIV Measurements of Velocity Field in a Spray Combustor,” Journal of Visualization, 6, pp. 273281(2003).Google Scholar
4.Militzer, J., “Dual Plane Parallel Jets,” Ph. D. Dissertation, University of Waterloo, Canada (1977).Google Scholar
5.Lechziner, M. A. and Rodi, W., “Calculation of Annular and Twin Parallel Jets Using Various Discretization Schemes and Turbulence-Model Variation,” Journal of Fluids Engineering, ASME Transaction Journals, American Society of Mechanical Engineers, 103, p. 352 (1981).Google Scholar
6.Budiarso Shah, D. A. and Winoto, S. H., Interaction of Two Plane Parallel Turbulent Jets (1993).Google Scholar
7.Cebeci, T. and Bradshaw, P., Momentum Transfer in Boundary Layers, McGraw Hill, New York (1997).Google Scholar
8.Riechardt, H., Gestzmassigkeiten Der Freien Turbulens. Forschungsheft, 414, Verien Deutscher Ingenieure (1942).Google Scholar
9.Mih, W. C. and Hoopes, J. A., “Mean and Turbulent Velocities for a Plane Jet,” Journal of Hydraulic Engineering, ASCE, 98, pp. 12741294 (1972).Google Scholar
10.Marsters, G. F., “Interaction of Two Plane Parallel Jets,” AIAA Journal, American Institute of Aeronautics and Astronautics, 15, pp. 17561762 (1977).Google Scholar
11.Ko, N. W. M. and Lau, K. K., “Flow Structure in Initial Region of Two Interacting Parallel Plane Jets,” Experimental and Fluid Science, 2, pp. 431449 (1989).CrossRefGoogle Scholar
12.Marsters, G. F., “Measurements in the Flowfeild of a Linear Array of Rectangular Nozzles,” Journal of Aircraft, 17, p. 774 (1980).CrossRefGoogle Scholar