Assessment of the Accuracy of Spalart-Allmaras Turbulence Model for Application in Turbulent Wall Jets
The Spalart and Allmaras turbulence model has been
implemented in a numerical code to study the compressible turbulent
flows, which the system of governing equations is solved with a
finite volume approach using a structured grid. The AUSM+ scheme
is used to calculate the inviscid fluxes. Different benchmark
problems have been computed to validate the implementation and
numerical results are shown. A special Attention is paid to wall jet
applications. In this study, the jet is submitted to various wall
boundary conditions (adiabatic or uniform heat flux) in forced
convection regime and both two-dimensional and axisymmetric wall
jets are considered. The comparison between the numerical results
and experimental data has given the validity of this turbulence model
to study the turbulent wall jets especially in engineering applications.
[1] Nait Bouda, N., Schiestel, R., Amielh, M., Rey, C. and Benabid, T.,
"Experimental Approach and Numerical Prediction of a Turbulent Wall
Jet over a Backward Facing Step," International Journal of Heat and
Fluid Flow, Vol. 29, 2008, pp. 927-944.
[2] He, S., Xu, Z., and Jackson, J. D., "An Experimental Investigation of
Buoyancy-Opposed Wall Jet Flow," International Journal of Heat and
Fluid Flow, Vol. 23, 2002, pp. 487-496.
[3] Schober, M., and Fernholz, H. H., "Turbulence Control in Wall Jets,"
European Journal of Mechanics B-Fluids, Vol. 19, 2000, pp. 503-528.
[4] Adrian, H., and Law, W. K., "Measurements of Turbulent Mass
Transport of a Circular Wall Jet," International Journal of Heat and
Mass Transfer, Vol. 45, 2002, pp. 4899-4905.
[5] Kechiche, J., Mhiri, H., Palec, G., and Bournot, P., "Application of Low
Reynolds Number k-e Models to the Study of Turbulent Wall Jets,"
International Journal of Thermal Sciences, Vol. 43, 2004, pp. 201-211.
[6] Craft, T. J., Gerasimov, A. V., Iacovides, H., Kidger, J. W., and Launder,
B. E., "The Negatively Buoyant Turbulent Wall Jet: Performance of
Alternative Opinion in RANS Modelling," International Journal of Heat
and Fluid Flow, Vol. 25, 2004, pp. 809-823.
[7] Kechiche, J., Mhiri, H., Palec, G., and Bournot, P., "Numerical Study of
the Inlet Conditions on a Turbulent Plane Two Dimensional Wall Jet,"
Energy Conversion and Management, Vol. 45, 2004, pp. 2931-2949.
[8] Cho, S. H., and Park, S. O., "Steady and Unsteady Computation of a
Two-Dimensional Upwash Jet," International Journal of Numerical
Methods for Heat and Fluid Flow, Vol. 8, No. 1, 1998.
[9] Aupoix, B., and Spalart, P. R., "Extensions of the Spalart-Allmaras
Turbulence Model to Account for Wall Roughness," International
Journal of Heat and Fluid Flow, Vol. 24, 2003, pp. 454-462.
[10] Nithiarasu, P., and Liu, C. B., "An Artificial Compressibility Based
Characteristic Based Split Scheme for Steady and Unsteady Turbulent
Incompressible Flows," Computer Methods in Applied Mechanics and
Engineering, Vol. 195, 2006, pp. 2961-2982.
[11] Kral, L. D., "Recent Experience with Different Turbulence Models
Applied to the Calculation of Flow over Aircraft Components," Progress
in Aerospace Sciences, Vol. 34, 1998, pp. 481-541.
[12] Deck, S., Duveau, P., Espiney, P., and Guillen, P., "Development and
Application of Spallart-Allmaras One-Equation Turbulence Model to
Three-Dimensional Supersonic Complex Configurations," Aerospace
Science and Technology, Vol. 6, 2002, pp. 171-183.
[13] Hirsch, C., Numerical Computation of Internal and External Flows,
Wiley and Sons, New York, 1988.
[14] Spalart, P. R., and Allmaras, S. R., "A One Equation Turbulence Model
for Aerodynamic Flows," La Recherche Aerospatiale, Vol.1, 1994, pp.5-
21.
[15] Liou, M. S., "A Sequel to AUSM: AUSM+," Journal of Computational
Physics, Vol. 129, 1996, pp. 364-382.
[16] Driver, D. M., and Seegmiller, H. L., "Features of a Reattaching
Turbulent Shear Layer in Divergent Channel Flow," AIAA Journal, Vol.
23, No. 2, 1985, pp. 163, 171.
[17] Tahsini, A. M., "Numerical Study of Solid Fuel Ignition Transient in
Turbulent Flows," Doctoral Thesis, Sharif University of Technology,
2009.
[18] Tailland, A., "Contribution ├á L-étude d-un Jet Plan Dirigé
Tangentiellement ├á une Paroi Plane," Doctoral Thesis, Université de
Lyon, 1970.
[19] Nizou, P.Y., Tida, "Transferts de Chaleur et de Quantité de Movement
dans les Jets Pariétaux Plans Turbulents," International Journal of Heat
and Mass Transfer, Vol. 38, 1995, pp. 1187-1200.
[20] Lebedev, V. P., Lemanov, V. V., and Terekhov, V. I., "Heat Transfer in
a Wall Jet at High Turbulence of Cocurrent Stream," International
Journal of Heat and Mass Transfer, Vol. 42, 1999, pp. 599-612.
[1] Nait Bouda, N., Schiestel, R., Amielh, M., Rey, C. and Benabid, T.,
"Experimental Approach and Numerical Prediction of a Turbulent Wall
Jet over a Backward Facing Step," International Journal of Heat and
Fluid Flow, Vol. 29, 2008, pp. 927-944.
[2] He, S., Xu, Z., and Jackson, J. D., "An Experimental Investigation of
Buoyancy-Opposed Wall Jet Flow," International Journal of Heat and
Fluid Flow, Vol. 23, 2002, pp. 487-496.
[3] Schober, M., and Fernholz, H. H., "Turbulence Control in Wall Jets,"
European Journal of Mechanics B-Fluids, Vol. 19, 2000, pp. 503-528.
[4] Adrian, H., and Law, W. K., "Measurements of Turbulent Mass
Transport of a Circular Wall Jet," International Journal of Heat and
Mass Transfer, Vol. 45, 2002, pp. 4899-4905.
[5] Kechiche, J., Mhiri, H., Palec, G., and Bournot, P., "Application of Low
Reynolds Number k-e Models to the Study of Turbulent Wall Jets,"
International Journal of Thermal Sciences, Vol. 43, 2004, pp. 201-211.
[6] Craft, T. J., Gerasimov, A. V., Iacovides, H., Kidger, J. W., and Launder,
B. E., "The Negatively Buoyant Turbulent Wall Jet: Performance of
Alternative Opinion in RANS Modelling," International Journal of Heat
and Fluid Flow, Vol. 25, 2004, pp. 809-823.
[7] Kechiche, J., Mhiri, H., Palec, G., and Bournot, P., "Numerical Study of
the Inlet Conditions on a Turbulent Plane Two Dimensional Wall Jet,"
Energy Conversion and Management, Vol. 45, 2004, pp. 2931-2949.
[8] Cho, S. H., and Park, S. O., "Steady and Unsteady Computation of a
Two-Dimensional Upwash Jet," International Journal of Numerical
Methods for Heat and Fluid Flow, Vol. 8, No. 1, 1998.
[9] Aupoix, B., and Spalart, P. R., "Extensions of the Spalart-Allmaras
Turbulence Model to Account for Wall Roughness," International
Journal of Heat and Fluid Flow, Vol. 24, 2003, pp. 454-462.
[10] Nithiarasu, P., and Liu, C. B., "An Artificial Compressibility Based
Characteristic Based Split Scheme for Steady and Unsteady Turbulent
Incompressible Flows," Computer Methods in Applied Mechanics and
Engineering, Vol. 195, 2006, pp. 2961-2982.
[11] Kral, L. D., "Recent Experience with Different Turbulence Models
Applied to the Calculation of Flow over Aircraft Components," Progress
in Aerospace Sciences, Vol. 34, 1998, pp. 481-541.
[12] Deck, S., Duveau, P., Espiney, P., and Guillen, P., "Development and
Application of Spallart-Allmaras One-Equation Turbulence Model to
Three-Dimensional Supersonic Complex Configurations," Aerospace
Science and Technology, Vol. 6, 2002, pp. 171-183.
[13] Hirsch, C., Numerical Computation of Internal and External Flows,
Wiley and Sons, New York, 1988.
[14] Spalart, P. R., and Allmaras, S. R., "A One Equation Turbulence Model
for Aerodynamic Flows," La Recherche Aerospatiale, Vol.1, 1994, pp.5-
21.
[15] Liou, M. S., "A Sequel to AUSM: AUSM+," Journal of Computational
Physics, Vol. 129, 1996, pp. 364-382.
[16] Driver, D. M., and Seegmiller, H. L., "Features of a Reattaching
Turbulent Shear Layer in Divergent Channel Flow," AIAA Journal, Vol.
23, No. 2, 1985, pp. 163, 171.
[17] Tahsini, A. M., "Numerical Study of Solid Fuel Ignition Transient in
Turbulent Flows," Doctoral Thesis, Sharif University of Technology,
2009.
[18] Tailland, A., "Contribution ├á L-étude d-un Jet Plan Dirigé
Tangentiellement ├á une Paroi Plane," Doctoral Thesis, Université de
Lyon, 1970.
[19] Nizou, P.Y., Tida, "Transferts de Chaleur et de Quantité de Movement
dans les Jets Pariétaux Plans Turbulents," International Journal of Heat
and Mass Transfer, Vol. 38, 1995, pp. 1187-1200.
[20] Lebedev, V. P., Lemanov, V. V., and Terekhov, V. I., "Heat Transfer in
a Wall Jet at High Turbulence of Cocurrent Stream," International
Journal of Heat and Mass Transfer, Vol. 42, 1999, pp. 599-612.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:60829", author = "A. M. Tahsini", title = "Assessment of the Accuracy of Spalart-Allmaras Turbulence Model for Application in Turbulent Wall Jets", abstract = "The Spalart and Allmaras turbulence model has been
implemented in a numerical code to study the compressible turbulent
flows, which the system of governing equations is solved with a
finite volume approach using a structured grid. The AUSM+ scheme
is used to calculate the inviscid fluxes. Different benchmark
problems have been computed to validate the implementation and
numerical results are shown. A special Attention is paid to wall jet
applications. In this study, the jet is submitted to various wall
boundary conditions (adiabatic or uniform heat flux) in forced
convection regime and both two-dimensional and axisymmetric wall
jets are considered. The comparison between the numerical results
and experimental data has given the validity of this turbulence model
to study the turbulent wall jets especially in engineering applications.", keywords = "Wall Jet, Heat transfer, Numerical Simulation,
Spalart-Allmaras Turbulence model.", volume = "5", number = "1", pages = "225-6", }
