Rigorous numerical solutions and correlations for two-dimensional laminar buoyant jets

Inlet conditions effects on vertical wall jets in forced and mixed convection regimes

“…An examination of the literature reveals that in laminar mode; most of the studies limit themselves to analytical solutions or a numerical resolution using a change of variables ignoring the conditions at the nozzle exit [9][10][11][12][13][14][15][16]. We can quote for example, Schlichting [9] and Gorla [10]: these authors analyzed mainly the established zone of the jet while basing themselves on the momentum conservation and on the fact that, in the mixture zone, the inertia forces are dominating the buoyancy forces.…”

“…Yu et al [14] studied numerically a laminar wall jet by introducing new parameters and a variables change which replace the two initial forms of the velocity and temperature profiles at the nozzle exit. These conditions were replaced by two integration constraints expressing the momentum and energy conservation of the flow discharged by the nozzle.…”

“…The wall jet in which the flow is injected tangentially to a plane plate at high velocity, the inner wall boundary jet and the outer free jet attracted much attention of researchers as indicated by an abundant literature [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] on related subjects. In these studies [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] both hydrodynamic and thermal characteristics of the flow have been investigated in order to know the local coefficient of heat transfer.…”

“…In these studies [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] both hydrodynamic and thermal characteristics of the flow have been investigated in order to know the local coefficient of heat transfer.…”

Application of low Reynolds number k–ε turbulence models to the study of turbulent wall jets

“…In a numerical study, solutions of this type of flow were obtained for the laminar regime by using a change of variables which caused the flow conditions at the nozzle exit to be ignored [11]. However, using direct resolution of the two-dimensional Navier Stokes equations, the authors of [12] took into account these conditions.…”