TY - GEN

T1 - Transition to turbulence in mixed convection in a cavity with a localized heat source

AU - Papanicolaou, E.

AU - Jaluria, Y.

PY - 1992

Y1 - 1992

N2 - A numerical simulation of the turbulent transport from an isolated heat source in a square cavity with side openings is presented in this work. The openings allow an externally induced air stream at ambient temperature to flow through the cavity and thus, mixed convection arises. Results for the turbulent regime are obtained, by employing a suitable form of the k-ε turbulence model. A stream function-vorticity mathematical formulation is used, along with the kinetic energy and dissipation rate equations and an expression for the eddy viscosity. A time-marching scheme is employed, using the ADI method. The values of the Reynolds number Re, associated with the external flow, and the Grashof number Gr, based on the heat flux from the source, for which turbulent flow sets in are sought. Two typical values of the Reynolds number are chosen, Re = 1000 and 2000 and turbulent results are obtained in the range Gr = 5×107-5×108. For both values of Re, the average Nusselt number over the surface of the source is found to vary with Gr in a fashion consistent with previous numerical and experimental results for closed cavities.

AB - A numerical simulation of the turbulent transport from an isolated heat source in a square cavity with side openings is presented in this work. The openings allow an externally induced air stream at ambient temperature to flow through the cavity and thus, mixed convection arises. Results for the turbulent regime are obtained, by employing a suitable form of the k-ε turbulence model. A stream function-vorticity mathematical formulation is used, along with the kinetic energy and dissipation rate equations and an expression for the eddy viscosity. A time-marching scheme is employed, using the ADI method. The values of the Reynolds number Re, associated with the external flow, and the Grashof number Gr, based on the heat flux from the source, for which turbulent flow sets in are sought. Two typical values of the Reynolds number are chosen, Re = 1000 and 2000 and turbulent results are obtained in the range Gr = 5×107-5×108. For both values of Re, the average Nusselt number over the surface of the source is found to vary with Gr in a fashion consistent with previous numerical and experimental results for closed cavities.

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M3 - Conference contribution

AN - SCOPUS:0026990323

SN - 0791810534

T3 - American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD

SP - 55

EP - 64

BT - Fundamentals of Mixed Convection

PB - Publ by ASME

T2 - Winter Annual Meeting of the American Society of Mechanical Engineers

Y2 - 8 November 1992 through 13 November 1992

ER -