A NUMERICAL STUDY ON THE CONTROL OF THE FLOW IN AN AXISYMMETRIC SUDDEN EXPANSION
Abstract
A numerical study on the control of the flow and its characteristics in an axisymmetric sudden expansion have been performed considering some stability parameters, including velocity profile modification, wall-shaping, blowing/suction and wall-heating. Due to the fact that numerous cases were tested, the flow was assumed to be two-dimensional, incompressible and laminar in order to use computational time feasibly. The implemented numerical method was validated with the previous experimental and numerical data. Flow characteristics regarding the pitchfork-bifurcation, velocity variations, separation and stain rate relationship, pressure and skin friction coefficients are examined in detail. It was seen that all stability parameters have favourable or adverse effect on the flow asymmetry. The blowing modification has been found to turn the asymmetric flow into symmetric flow provided that adequate blowing mass flow is adopted.
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References
- Macagno EO, Hung TK. Computational and experimental study of adaptive annular eddy. J. Fluid Mech. 1967; 28, 43-64
- Iribarne A, Frantisak F, Hummel RL, Smith JW. An experimental study of instabilities and other flow properties of a laminar pipe jet. A.I.Ch.E. J. 1972; 18, 689-698
- Durst F, Melling A, Whitelaw JH. Low Reynolds number flow over a plane symmetric sudden expansion. J. Fluid Mech. 1974; 64(1), 111-128
- Cherdron W, Durst F, Whitelaw JH. Asymmetric flows and instabilities in symmetric ducts with sudden expansion. J. Fluid Mech. 1978; 84, 13-31
- Ouwa Y, Watanabe M, Asawo H. Flow visualization of a two-dimensional water jet in a rectangular channel. J. J. Appl. Phys. 1981;20(1), 243-247
- Fearn RM, Mullin T, Cliffe KA. Nonlinear flow phenomena in a symmetric sudden expansion. J. Fluid Mech. 1990; 211, 595-608
- Cliffe KA, Greenfield AC. Some comments on laminar flow in symmetric two dimensional channels. Harwell Rep. AERE-TP 939 1982.
- Sobey IJ, Drazin PG. Bifurcations of two-dimensional channel flows. J. Fluid Mech. 1986; 171, 263-287
- Fuchs L. Incompressible vortex flows:non-uniqueness and hysteresis. In Proc. Zntl. Conf. on Numerical Methods in Fluid Dynamics. 1988.
- Durst F, Pereira JCF, Tropea C. The plane symmetric sudden expansion flow at low reynolds numbers. J. Fluid Mechanics 1993; 248, 567-581.