Finite volume gravity currents impinging on a stratified interface

An experimental study of two-dimensional gravity currents impinging on a stratified interface in a two-layer stratified environment is presented. The gravity currents are created by the release of a fixed volume of dense fluid along a 6° slope. The effect of the stratified interface on the entrainment and mixing processes is quantified by the use of planar laser induced fluorescence. Moreover, to understand the entrainment process and to quantify the effect of the impingement on the internal structure of the gravity current, particle image velocimetry measurements are performed. Both instantaneous velocity and vorticity fields are quantified and averages are computed over 0.2 s. The measurements are centered on the impact region between the gravity current and the stratified interface. In previous experiments we have determined the entrainment rate and studied the internal structure for a gravity current created by a continuous source under the same experimental conditions. A thorough comparison of the two cases is provided.     

Statistical regression and artificial neural network analyses of impinging jet experiments

The purpose of this paper is to focus on the experimentally obtained results of impinging jet applications by the help of two different analysis methods. Circular round pipes (D = 7.9, 10.8, 13.8 and 23.1 mm) have been used as the impinging jets. The heat transfer is calculated with Nusselt number (Nu). The variable parameters are the dimensionless jet-to-impingement plate distance (z/D), Reynolds number (Re) and dimensionless temperature measurement points on the heated surface (x/L, y/L). Some important analysis methods such as artificial neural network (ANN), statistical regression, and uncertainty analysis are applied to the obtained data. It is shown that the ANN application is not simply a classification analysis; it is actually an application of the convergence of functions. As a result, by considering random data, 4.57% convergence level is obtained regarding the pipe diameter. The software STATISTICA 5.0 is used to estimate new empirical correlations nonlinearly. The smallest regression coefficient for the correlations is 0.87, while the highest value is 0.99. The result of the uncertainty analyses showed that the total uncertainties are in the agreeable range; 8% for Nu, and 2.89% for Re. Dr. Nevin Celik is a Post Doctoral Fellowship in University of Minnesota since August 2007.     

Self-sustained oscillations of a confined impinging jet

The present paper investigates the dynamics of a laminar plane jet impinging on a flat plate in a channel. An experimental parametric study is carried out to determine the flow regimes at different levels of confinement and Reynolds numbers. For very confined jets, the flow is steady whatever the Reynolds number. The overall structure of the flow is symmetric with respect to the jet axis and is characterized by the presence of recirculation zones at the channel walls. The dynamics is radically different for less confined jets. Above a critical Reynolds number, the flow bifurcates in the form of an oscillating flapping mode of the impinging jet. Analyses of the experimental results provide with a quantitative characterization of this regime in terms of amplitude, wavelength and frequency. This self-oscillating bifurcated flow induces strong sweepings of the target plate by the jet and intense vortex dipole ejections from the impacted wall. Such a regime is expected to be particularly useful in the enhancement of the local heat transfer at relatively low cost in terms of flow rate.     

Turbulent jet impinging a cylindrical hot cavity

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 Number. 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.     

Computations for a jet impinging obliquely on a flat surface

A SIMPLE-C algorithm and Jones-Launder k-ε two-equation turbulence model are used to simulate a two-dimensional jet impinging obliquely on a flat surface. Both the continuity and momentum equations for the unsteady state are cast into suitable finite difference equations. The pressure, velocity, turbulent kinetic energy and turbulent energy dissipation rate distributions are solved and show good agreement with various experimental data. The calculations show that the flow field structure of the jet impinging obliquely on a flat surface is strongly affected by the oblique impingement angle. The maximum pressure zone of the obliquely impinging jet flow field moves towards the left as the oblique impingement angle is decreased.     

Large Eddy Simulation of a plane impinging jet

Large Eddy Simulations of a plane turbulent impinging jet have been carried out using the dynamic Smagorinsky model. The statistical results are first validated with the measurements from the literature: mean and turbulent quantities along the jet axis and at different vertical locations are presented. This study is completed by the analysis of the wall shear stress at the impingement wall. The effect of the jet Reynolds number (3000Re13500) on the kinematic development of the jet is also discussed. To cite this article: F. Beaubert, S. Viazzo, C. R. Mecanique 330 (2002) 803–810.     

Experimental investigation of a synthetic jet impinging on a fixed wall

The process of laminar vortex rings periodically impinging on a fixed wall is investigated experimentally using flow visualization and two-dimensional particle image velocimetry. The secondary vortex is found after the third impingement cycle, which is the first such observation at low Reynolds number of 126. In comparison, it does not form during the first three cycles, indicating that there exist obvious differences in the impingement process between the first few cycles and the rest. However, as the vortex ring continues to impinge on the wall, the differences eliminate gradually after about five cycles and similar impingement process among different cycles is found. The proper orthogonal decomposition fields and the statistical characteristics of the flow fields are also studied. In particular, both the streamwise velocity before the impingement and the radial velocity after the impingement exhibit self-similar behavior.     

Numerical simulation of turbulent impinging jet on a rotating disk

The calculations of quasi‐three‐dimensional momentum equations were carried out to study the influence of wall rotation on the characteristics of an impinging jet. The pressure coefficient, the mean velocity distributions and the components of Reynolds stress are calculated. The flow is assumed to be steady, incompressible and turbulent. The finite volume scheme is used to solve the continuity equation, momentum equations and k–ε model equations. The flow characteristics were studied by varying rotation speed ω for 0?ω?167.6 rad/s, the distance from nozzle to disk (H/d) was (3, 5, 8 and 10) and the Reynolds number Re base on V_J and d was 1.45 × 10⁴. The results showed that, the radial velocity and turbulence intensity increase by increasing the rotation speed and decrease in the impingement zone as nozzle to disk spacing increases. When the centrifugal force increases, the radial normal stresses and shear stresses increase. The location of maximum radial velocity decreases as the local velocity ratio (α) increases. The pressure coefficient depends on the centrifugal force and it decreases as the distance from nozzle to plate increases. In impingement zone and radial wall jet, the spread of flow increases as the angular velocity decreases The numerical results give good agreement with the experiment data of Minagawa and Obi (Int. J. of Heat and Fluid Flow 2004; 25 :759–766). Copyright © 2006 John Wiley & Sons, Ltd.     

Numerical simulation of an impinging jet on a flat plate

Two-dimensional normal impinging jet flowfields, with or without an upper plate, were analysed by employing an implicit bidiagonal numerical method developed by Lavante and Thompkins Jr. The Jones–Launder K–? two-equation turbulent model was employed to study the turbulent effects of the impinging jet flowfield. The upper plate surface pressure, the ground plane pressure and other physical parameters of the momentum flowfield were calculated at various jet exit height and jet inlet Reynolds numbers. These results were compared with those of Beam and Warming's numerical method, Hsiao and Chuang, and others, along with experimental data. The potential core length of the impinging jet without an upper plate is longer than that of the free jet because of the effects of the ground plane, while the potential core length of the impinging jet with an upper plate is shorter than that of the free jet because of the effects of the upper plate. This phenomenon in the present analysis provides a fundamental numerical study of an impinging jet and a basis for further analysis of impinging jet flowfields on a variable angle plate.     

Large eddy simulation of a slot jet impinging on a convex surface

A large eddy simulation is used to simulate flow and heat transfer in a turbulent plane jet with two distances from the jet-exit to impingement corresponding to twice and ten times the slot nozzle width. The resolved different unsteady vortex motions of the jet shear layers are studied and shown to have an important influence on heat transfer at the wall. They are used to explain existence of the second peak in Nusselt number for the case corresponding to twice the slot nozzle width. The predicted average surface Nusselt number profiles exhibit good agreement with experiments.     

Experimental investigation of impinging jet arrays

We report on measurements of the velocity field and turbulence fluctuations in a hexagonal array of circular jets, impinging normally on a plane wall, using particle image velocimetry (PIV). Results for mean velocity and turbulent stresses are presented in various horizontal and vertical planes. From the measurements, we have identified some major features of impinging jet arrays and we discuss their mutual interaction, collision on the plate, and consequent backwash, which generate recirculating motion between the jets. The length of the jet core, the production of turbulence kinetic energy, and the model of the exhaust mechanisms for spent fluid are also discussed. The measurements indicated that the interaction between the self-induced cross flow and the wall jets resulted in the formation of a system of horseshoe-type vortices that circumscribe the outer jets of the array. The instantaneous snapshots of the velocity field reveal some interesting features of the flow dynamics, indicating a breakdown of some of the jets before reaching the plate, which may have consequences on the distribution of the instantaneous heat transfer.List of symbols D_m Nozzle diameter in multiple jet array nozzle plate (m) - D_s Pipe diameter in single jet rig (m) - H Distance between nozzle and impingement plate (m) - k Turbulent kinetic energy (m²/s²) - L Pipe length (m) - P_k Production of turbulent kinetic energy (m²/s³) - P_uu , P_vv Normal components of P_k (m²/s³) - P_uv Shear component of P_k (m²/s³) - s Pitch (m) - U_bulk Surface-averaged exit velocity (single jet) (m/s) - U_CL Center line jet exit velocity (jet array), m/s - u, v Mean velocity components in x and y directions (m/s) - u, v, w Instantaneous velocity in x, y, and z directions (m/s) - u, v, w Velocity fluctuation in x, y, and z directions (m/s) - u², v², w² Reynolds normal stress components (m²/s²) - uv Reynolds shear stress component (m²/s²) - x, z Coordinates parallel to impingement plate (m) - y Coordinate perpendicular to impingement plate (m)     

Turbulent floating jet in a stratified atmosphere

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 61–72, July–August, 1989.     

Horizontal submerged jet in a stratified fluid

The problem of jet flow excited in a viscous density-stratified fluid by a point source of momentum acting horizontally is considered. Simplified asymptotic equations are obtained in the boundary layer approximation. It is shown that the vertical velocity component is small and the motion in the jet has a layered structure. The longitudinal velocity distributions in the jet are measured experimentally. It is shown that these distributions are affine and can be satisfactorily approximated by Schlichting's well-known boundary layer solution for a round submerged jet in a fluid uniform with respect to density.Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.6, pp. 10–16, November–December, 1993.We are grateful to I. A. Filippov for assisting with the experiments.     

Dynamics of the vortex structure of a jet impinging on a convex surface

Smoke–wire flow visualization is used to investigate the behavior of a round jet issuing from a straight tube and impinging on a convex surface. Video analysis of the impinging jet shows the initiation and growth of ring vortices in the jet shear layer and their interaction with the cylindrical surfaces. Effects of relative curvature, nozzle-to-surface distance, and Reynolds number on vortex initiation, vortex separation from the surface and vortex breakup are described. Examples of vortex merging are discussed.