Heat transfer study of two-dimensional laminar incompressible wall jet over backward-facing step

Numerical Heat Transfer; Part A: Applications

Volumn 50, Issue 2, 2006, Pages 165-187

  Kanna, P Rajesh ^a   Das, Manab Kumar ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY GUWAHATI   (India)

Author keywords

[No Author keywords available]

Indexed keywords

INCOMPRESSIBLE FLOW; ISOTHERMS; LAMINAR FLOW; NUSSELT NUMBER; PRANDTL NUMBER; REYNOLDS NUMBER;

FUNCTION-VORTICITY FORMULATION; STEP GEOMETRY; TWO-DIMENSIONAL LAMINAR INCOMPRESSIBLE WALL JET; VORTICITY;

HEAT TRANSFER;

EID: 33746347422     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/10407780500506857     Document Type: Article

References (33)

1. M. B. Glauert, The Wall Jet, J. Fluid Mech., vol. 1, no. 1, pp. 1-10, 1956.
2. W. H. Schwarz and B. Caswell, Some Heat Transfer Characteristics of the Two-Dimensional Laminar Incompressible Wall Jet, Chem. Eng. Sci., vol. 16, pp. 338-351, 1961.
3. R. A. Bajura and A. A. Szewczyk, Experimental Investigation of a Laminar Two-Dimensional Plane Wall Jet, Phys. Fluids, vol. 13, pp. 1653-1664, 1970.
4. D. Angirasa, Interaction of Low-Velocity Plane Jets with Buoyant Convection Adjacent to Heated Vertical Surfaces, Numer. Heat Transfer A, vol. 35, pp. 67-84, 1999.
5. D. L. Quintana, M. Amitay, A. Ortega, and I. J. Wygnanski, Heat Transfer in the Forced Laminar Wall Jet, J. Heat Transfer, vol. 119, pp. 451-459, 1997.
6. J. Seidel, Numerical Investigations of Forced Laminar and Turbulent Wall Jets over a Heated Surface. Ph.D. thesis, The University of Arizona, Tucson, AZ, 2001.
7. P. Bhattacharjee and E. Loth, Simulations of Laminar and Transitional Cold Wall Jets, Int. J. Heat Fluid Flow, vol. 25, pp. 32-43, 2004.
8. L. B. Y. Aldabbagh and I. Sezai, Numerical Simulation of Three-Dimensional Laminar, Square Twin-Jet Impingement on a Flat Plate, Flow Structure and Heat Transfer, Numer. Heat Transfer A, vol. 41, no. 8, pp. 835-850, 2002.
9. B. S. Yilbas, S. Z. Shuja, and M. O. Budair, Jet Impingement onto a Hole with Constant Wall Temperature, Numer. Heat Transfer A, vol. 43, no. 8, pp. 843-865, 2003.
10. Y.-T. Yang and C.-H. Shyu, Numerical Study of Multiple Impinging Slot Jets with an Inclined Confinement Surface, Numer. Heat Transfer A, vol. 33, no. 1, pp. 23-37, 1998.
11. P. R. Kanna and M. K. Das, Conjugate Forced Convection Heat Transfer from a Flat Plate by Laminar Plane Wall Jet Flow, Int. J. Heat Mass Transfer, vol. 48, pp. 2896-2910, 2005.
12. P. R. Kanna and M. K. Das, Numerical Simulation of Two-Dimensional Laminar Incompressible Offset Jet Flows, Int. J. Numer. Meth. Fluids, vol. 49, no. 4, pp. 439-464, 2005.
13. P. R. Kanna and M. K. Das, Conjugate Heat Transfer Study of Two-Dimensional Laminar Incompressible Offset Jet Flows, Numer. Heat Transfer A, vol. 48, no. 7, pp. 671-691, 2005.
14. B. F. Armaly, F. Durst, J. C. F. Pereira, and B. Schonung, Experimental and Theoretical Investigation of Backward-Facing Step Flow, J. Fluid Mech., vol. 127, pp. 473-496, 1983.
15. D. K. Gartling, A Test Problem for Outflow Boundary Conditions - Flow over a Backward-Facing Step, Int. J. Numer. Meth. Fluids, vol. 11, pp. 953-967, 1990.
16. I. E. Barton, The Entrance Effect of Laminar Flow over a Backward-Facing Step Geometry, Int. J. Numer. Meth. Fluids, vol. 25, pp. 633-644, 1997.
17. B. R. Dyne and J. C. Heinrich, Flow over a Backward-Facing Step: A Benchmark Problem for Laminar Flow with Heat Transfer, Benchmark Problems for Heat Transfer Codes, HTD-vol. 222, pp. 73-76, 1992.
18. T. Kondoh, Y. Nagano, and T. Tsuji, Computational Study of Laminar Heat Transfer Downstream of a Backward-Facing Step, Int. J. Heat Mass Transfer, vol. 36, no.3, pp. 577-591, 1993.
19. G. Biswas, M. Breuer, and F. Durst, Backward-Facing Step Flows for Various Expansion Ratios at Low and Moderate Reynolds Numbers, J. Fluids Eng., vol. 126, pp. 362-374, 2004.
20. G. H. Rhee and H. J. Sung, Enhancement of Heat Transfer in Turbulent Separated and Reattaching Flow by Local Forcing, Numer. Heat Transfer A, vol. 37, no. 7, 733-753, 2000.
21. D. B. Carrington and D. W. Pepper, Convective Heat Transfer Downstream of a 3-D Backward-Facing Step, Numer. Heat Transfer A, vol. 41, no. 6-7, pp. 555-578, 2002.
22. P. R. Kanna and M. K. Das, A Short Note on the Entrainment and Exit Boundary Conditions, Int. J. Numer. Meth. Fluids, vol. 50, no. 6, pp. 683-692, 2006.
23. P. J. Roache, Fundamentals of Computational Fluid Dynamics, Chap. 3, Hermosa, Albuquerque, NM, 1998.
24. M. Napolitano, G. Pascazio, and L. Quartapelle, A Review of Vorticity Conditions in the Numerical Solution of the ζ-ψ Equations, Comput. Fluids, vol. 28, pp. 139-185, 1999.
25. H. Huang and B. R. Wetton, Discrete Compatibility in Finite Difference Methods for Viscous Incompressible Fluid Flow, J. Comput. Phys., vol. 126, pp. 468-478, 1996.
26. S. H. Kang and R. Greif, Flow and Heat Transfer to a Circular Cylinder with a Hot Impinging Air Jet, Int. J. Heat Mass Transfer, vol. 35, no. 9, pp. 2173-2183, 1992.
27. R. A. Kuyper, Th. H. Van Der Meer, C. J. Hoogendoorn, and R. A. W. M. Henkes, Numerical Study of Laminar and Turbulent Natural Convection in an Inclined Square Cavity, Int. J. Heat Mass Transfer, vol. 36, no. 11, pp. 2899-2911, 1993.
28. U. Ghia, K. N. Ghia, and C. T. Shin, High Re Solutions for Incompressible Flow using the Navier-Stokes Equations and Multigrid Method, J. Comput. Phys., vol. 48, pp. 387-411, 1982.
29. C. W. Oosterlee, P. Wesseling, A. Segal, and E. Brakkee, Benchmark Solutions for the Incompressible Navier-Stokes Equations in General Co-ordinates on Staggered Grids, Int. J. Num. Meth. Fluids, vol. 17, pp. 301-321, 1993.
30. A. Valencia and L. Hinojosa, Numerical Solution of Pulsating Flow and Heat Transfer Characteristics in a Channel with Backward-Facing Step, Heat Mass Transfer, vol. 32, no. 143-148, 1997.
31. S. Thangam and D. D. Knight, Effect of Step Height on the Separated Flow Past to Backward Facing Step, Phys. Fluids, vol. 1, no. 3, pp. 604-606, 1989.
32. P. R. Kanna and M. K. Das, Numerical Simulation of Two-Dimensional Laminar Incompressible Wall Jet over Backward-Facing Step Flows, in press, ASME Transaction: Journal of Fluids Engineering, 2006.
33. P. R. Kanna and M. K. Das, Heat Transfer Study of Two-Dimensional Laminar Incompressible Offset Jet Flows, second revision submitted to Heat and Mass Transfer, 2006.