## THERMAL SCIENCE

International Scientific Journal

### STEADY INTERACTION OF A TURBULENT PLANE JET WITH A RECTANGULAR HEATED CAVITY

**ABSTRACT**

Turbulent heat transfer between a confined jet flowing in a hot rectangular cavity is studied numerically by finite volume method using the k-w SST one point closure turbulence model. The location of the jet inside the cavity is chosen so that the flow is in the non-oscillation regime. The flow structure is described for different jet-to-bottom-wall distances. A parametrical study was conducted to identify the influence of the jet exit location and the Reynolds number on the heat transfer coefficient. The parameters of this study are: the jet exit Reynolds number (Re, 1560< Re <33333), the temperature difference between the cavity heated wall and the jet exit (DT=60°C) and the jet location inside the cavity (Lf, 2≤ Lf≤ 10 and Lh 2.5 Keywords: jet-cavity interaction, heat transfer, plane jet, turbulence modeling

**KEYWORDS**

PAPER SUBMITTED: 2013-11-06

PAPER REVISED: 2014-04-29

PAPER ACCEPTED: 2014-05-03

PUBLISHED ONLINE: 2014-06-15

**THERMAL SCIENCE** YEAR

**2016**, VOLUME

**20**, ISSUE

**5**, PAGES [1485 - 1498]

- Martin, H., Heat and mass transfer between impinging gas jets and solid surfaces, Advances in Heat Transfer, 13, Academic Press, (1977) New York, pp. 1-60.
- Jambunathan, K., Lai, E., Moss, M.A. Button, B.L. A review of heat transfer data for single circular jet impingement, Int. J. Heat Fluid Flow (1992), Vol13, pp106-115.
- Gardon.R and Akfirat, J.C., Heat transfer characteristics of impinging two dimensional air jets, Journal Heat Transfer, Transactions of the ASME(1966), pp 101 -108.
- Kumada, M., Mabuchi, I., Kawashima, Y, Mass transfer on a cylinder in the potential core region of a two-dimensional jet, Heat Transfer -Jpn., (1973) Res. 2 (3), pp 53-66.
- Kumada, M., Mabuchi, I., Kawashima, Y., Hirata, M, Mass transfer on a cylinder in developed region of a two dimensional jet, Trans. JSME (30) (330) (1974), pp 471-478.
- Gau, C., Chung, C.M. ,Surface curvature effect on slot-air jet impingement cooling flow and heat transfer process, J. Heat Transfer 113(1991) , pp 858-864.
- Choi,M., Yoo, H.S.,Yang, G.,Lee, J.S.,Sohn,D.K. ,Measurements of impinging jet flow and heat transfer on a semi-circular concave surface, Int. J. Heat Mass Transfer Vol. 43(2000) , pp 1811-1822.
- Ahmadi,H., Rajabi, Z.M., Mujumdar A., Mohammadpour,J., Numerical modeling of a turbulent semi-confined slot jet impinging on a concave surface, thermal science (2013)
- Chan, T.L., Leung, C.W., Jambunathan, K., Ashforth-Frost,Y. S., Zhou, Liu,M.H.,Heat transfer characteristics of a slot jet impinging on a semi-circular convex surface, Int.J. Heat Mass Transfer Vol. 45(2002), pp 993-1006.
- Zuckerman, N. and Lior, N, Jet impingement heat transfer: Physics, correlations, and numerical modeling, Advances in Heat Transfer, Vol. 39(2006), pp 565-631.
- Li,P. W. and. Tao, W. Q, Numerical and experimental investigations on heat/mass transfer of slot-jet impingement in a rectangular cavity, Int. J. Heat and Fluid Flow Vol. 14 (3) (1993),pp 246-253.
- Lin, Z. H., Chou Y. J. and Hung Y. H, Heat transfer behaviors of a confined slot jet impingement, Int. J. Heat Mass Transfer. Vol. 40(5) (1997), pp. 1095-1107.
- Benmouhoub, D, Mataoui, A., Computation of heat transfer of a plane turbulent jet impinging a moving plate, thermal science (2012), doi:10.2298/TSCI111027101B
- Halouane, Y., Mataoui, A. Iachachene, F., Turbulent heat transfer for impinging jet flowing inside a cylindrical hot cavity, thermal science (2013)
- Mataoui, A., Schiestel R. and Salem A., Flow regimes of interaction of a turbulent plane jet into a rectangular cavity: Experimental approach and numerical modeling, Journal of Flow, Turbulence and Combustion, Vol. 67 (4) (2001), pp. 267-304.
- Mataoui, A. and Schiestel, R, Unsteady phenomena of an oscillating turbulent jet flow inside a cavity: Effect of aspect ratio"Journal of Fluids and Structures Vol. (2009), 25pp 60-79.
- C. Bourque et B.G. Newman, « Reattachment of a two-dimensional, incompressible jet to an adjacent Flat Plate », The Aeronautical Quarterly, vol XI, aout 1960; pp. 201
- Menter, F.R., Two-equation eddy-viscosity turbulence models for engineering applications, AIAA Journal, Vol. 32(8) (1994), pp.1598-1605.
- Patankar S.V.,''Numerical heat transfer and fluid flow ', Series in computational Methods in Mechanics and Thermal Sciences, Hemisphere Publ.Corp., 1980.
- Wilcox D.C., Turbulence Modeling for CFD, DCW Industries, Inc., 5354 Palm Drive, La Canada, California (1998) 91011, 2nded.
- Liu, Q., Sleiti, A.K. , Kapat, J.S. , Application of pressure and temperature sensitive paints for study of heat transfer to a circular impinging air jet, Int. J. Thermal Sci. 47 (2008),pp 749-757.
- Lytle, D., Webb, B.W, Air jet impingement heat transfer at low nozzle-plate spacing, Int. J. Heat Mass Transfer Vol. 37(1994), pp 1687-1697.
- Goldstein, R.J., Behbahani, A.I., Kieger, Heppelmann, K., Stream wise distribution of the recovery factor and the local heat transfer coefficient to an impinging circular air jet, Int. J. Heat Mass Transfer Vol.(1986), 29, pp 1227-1235.
- Merci B. and Dick E. , Heat transfer predictions with a cubic k- model for axisymmetric turbulent jets impinging onto a flat plate, International Journal of Heat and Mass Transfer Vol. 46 (2003),pp. 469- 480.