THERMAL SCIENCE

International Scientific Journal

NUMERICAL STUDY OF LAMINAR FLOW IN A SUDDEN EXPANSION OBSTACLED CHANNEL

ABSTRACT
In the present work, a numerical study has been conducted to investigate the flow heat transfer through an obstacled sudden expansion channel. Rectangular adiabatic obstacles mounted behind the expansion region on the upper and lower wall of the channel used. The effects of obstacles length, obstacles thickness and number of obstacles on flow and thermal fields for different Reynolds number and expansion ratio examined. Three values of expansion ratio (ER) equal to 1.5, 1.75 and 2 were used. The choice of values of Reynolds number takes in consideration the symmetry state. The governing equations of continuity, momentum and energy discretized by using the finite difference formulation and the resulting algebraic equations solved by using Gauss-Seidle iteration method. The obtained results show that the obstacles have a considerable effect on dynamics of the flow and enhancement of heat transfer. In addition, it is found that the heat transfer is enhanced more as the obstacles thickness increases and this trend is decreased as the obstacles length increases.
KEYWORDS
PAPER SUBMITTED: 2012-10-29
PAPER REVISED: 2013-07-20
PAPER ACCEPTED: 2013-07-22
PUBLISHED ONLINE: 2013-08-17
DOI REFERENCE: https://doi.org/10.2298/TSCI121029105M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Issue 2, PAGES [657 - 668]
REFERENCES
  1. Scott P. S., Mirza F. A., Vlachopoulos J., A finite element analysis of laminar flows through planar and axisymmetric abrupt expansions, Computers and Fluids vol. 14, No. 4, pp. 423-432, (1986).
  2. Tao Tang, Ingham D. B., Multigrid solutions of steady two-dimensional flow past a cascade of sudden expansions, Computers and Fluids vol. 21, No. 4, pp. 647-660, (1992).
  3. Francine Battaglia, Simon J. Tavenery, Anil K. Kulkarniz, Charles L. Merkle, Biforcation of low Reynolds number flows in symmetric channels, American Institute of Aeronautics and Astronautics, (1996).
  4. Thiruvengadam M., Nie J. H., Armaly B.F., Bifurcated three-dimensional forced convection in plane symmetric sudden expansion, International Journal of Heat and Mass Transfer 48, 3128- 3139, (2005).
  5. Baloch A., Townsend P., Webster M. F., On two and three dimensional expansion flows, Computers and Fluids vol. 24, No. 8, pp. 863-882, (1995).
  6. Francine Battaglia, George Papadopoulos, Bifurcation Characteristics of Flows in Rectangular Sudden Expansion Channels, Journal of Fluids Engineering, Vol. 128 / pp. 671-679, (2006).
  7. Hammad K. J., Otugen M. V., Arik E. B., A PIV study of the laminar axisymmetric sudden expansion, Flow Experiments in Fluids 26, 266-272, (1999).
  8. Schreck E., Schafer M., Numerical study of bifurcation in three dimensional sudden channel expansions, Computers and Fluids 29, pp. 583-593, (2000).
  9. Hawa T., Rusak Z., The dynamics of a laminar flow in a symmetric channel with a sudden expansion, J. Fluid Mech., vol. 436, pp. 283-320, (2001).
  10. Chiang T. P., Tony W. H. Sheu, Robert R. Hwang, Sau A., Spanwise bifurcation in plane symmetric sudden expansion flows, Physical Review E,vol. 65, 016306, 1-16, (2001).
  11. Armly B. F., Li A., Nie J. H., Measurements in three dimensional laminar separated flow, International Journal of Heat and Mass Transfer 46, 3573-3582, (2003).
  12. Nie J. H., Armaly B. F., Three-Dimensional Forced Convection in Plane Symmetric Sudden Expansion, Journal of Heat Transfer, Vol. 126 /836- 839, (2004).
  13. Yamaguchi H., Ito A., Kuribayashi M., Zhang X.R., Nishiyama H., Basic flow characteristics in three-dimensional branching channel with sudden expansion, European Journal of Mechanics B/Fluids 25, 909-922, (2006).
  14. Oliveira P. J., Pinho F. T., Pressure drop coefficient of laminar Newtonian flow in axisymmetric sudden expansions, Int. J. Heat and Fluid Flow 18: 518-529 (1997).
  15. Wahba E.M., Iterative solvers and inflow boundary conditions for plane sudden expansion flows, Applied Mathematical Modeling 31, 2553-2563, (2007).
  16. Georgios C. Georgtou, William W. Schultz, Lorraine G. Olson, Singular finite elements for the problems sudden-expansion and the die-swell, International journal for numerical methods in fluids, VOL. 10, 357-372 (1990).

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence