ORIGINAL Turbulent jet impinging a cylindrical hot cavity Yacine Halouane • Amina Mataoui • Farida Iachachene Received: 7 March 2013 / Accepted: 4 March 2014 Ó Springer-Verlag Berlin Heidelberg 2014 Abstract The possibility of improving the heat transfer is investigated numerically using finite volume method. The Reynolds number increase has a minor effect on flow structure but generates a systematic rise of Nusselt Num- ber. The maximum heat exchange occurs when the cavity bottom is located at the potential core end. The main heat exchange occurs on the cavity bottom for every case. The stagnation Nusselt number is correlated according some problem parameters. List of symbols d Jet exit diameter (=2R jet ) (m) k Kinetic energy of turbulence (m 2 /s 2 ) L d Length of the pipe (m) L f Non-dimensional distances jet exit nozzle cavity bottom (=x max /d)(-) Nu Nusselt number (=q w d/kDT) (-) Nu L Lateral wall Nusselt number P Mean pressure (Pa) Pr t Turbulent Prandtl Re Reynolds number (=U i d/m)(-) R cav Cavity radius (m) r 1/2 Radial coordinate corresponding to U max /2 (m) T Temperature (K) U max Maximum mean velocity (m/s) U i Jet inlet velocity (m/s) u i u j Reynolds stress component (m 2 /s 2 ) u i h The velocity–temperature correlation y ? Non-dimensional distance (-) Greek symbols a Turbulence intensity (%) b Ratio of Nu 0 /Nu L max h Fluctuating temperature (K) e Dissipation rate (m 2 /s 3 ) m t Turbulent viscosity (m 2 /s) g Dimensionless axial distance (=(r - R jet )/ (R cav - R jet )) (-) m Kinematic molecular viscosity (m 2 /s) q Air density (kg/m 3 ) k Thermal conductivity of air (W/mK) 1 Introduction The impinging jet comprises different flow regions (i.e. the potential core region, the free jet region, the stagna- tion or impinging region and the wall jet region). The jet- cavity symmetrical interaction occurs on two walls simultaneously. Therefore, this problem relates to the impinging jet on one or more walls. Over the past dec- ades, many experimental and theoretical works on the cooling of surfaces by jet interaction are performed. A number of comprehensive reviews of jet impingement on a flat plate are available in the literature [1–5]. In most applications, a turbulent jet of gas or liquid is directed to a target area. This problem is relevant to a wide range of Y. Halouane De ´partement d’E ´ nerge ´tique, Universite M’hamed Bougara Boumerdes—UMBB, Boumerdes, Alge ´rie A. Mataoui (&) Laboratoire de Me ´canique des Fluides The ´orique et Applique ´, Faculte ´ de Physique, Universite ´ de Science et Technologie Houari Boumediene—USTHB, Alger, Alge ´rie e-mail: mataoui_amina@yahoo.fr F. Iachachene De ´partement de Physique, Universite M’hamed Bougara Boumerdes—UMBB, Boumerdes, Alge ´rie 123 Heat Mass Transfer DOI 10.1007/s00231-014-1327-z