Analysis and Modeling of Pressure Recovery for Separated Reattaching Flows

[+] Author and Article Information
W. W. H. Yeung

School of Mechanical and Production Engineering, Nanyang Technological University, Singapore 639798

G. V. Parkinson

Department of Mechanical Engineering, University of British Columbia, Vancouver, Canada V6T 1Z4

J. Fluids Eng 126(3), 355-361 (Jul 12, 2004) (7 pages) doi:10.1115/1.1758266 History: Received January 31, 2003; Revised November 07, 2003; Online July 12, 2004
Copyright © 2004 by ASME
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Grahic Jump Location
Fore-body shapes used in various studies (with flow from left to right). (a) from 5, (b) from 8, (c) from 10, and (d) from 11.
Grahic Jump Location
Definitions of pertinent parameters used in the present study. (a) General flow configuration, (b) pressure distribution (2θ=60 deg) from 8.
Grahic Jump Location
Variations of reattachment length xr/H with initial shear-layer angle θ. (a) ☆ for models B to E and □ for model A from 8, + for models from 10, –: Eq. (1), ⋅⋅⋅⋅: Eq. (2), (b) ×, ▿, ▵, ○, ▹, ⋄ for models A to F from 5, [[dashed_line]]: Eq. (3),  *  for models from 11.
Grahic Jump Location
Variations of initial shear-layer velocity u(θ) with reattachment xr/H. (a) and (b) see legend of Fig. 3. (c) × for θ=30 deg and 90 deg from 13, ▹ for truncated airfoil from 14, ○ from 18, □ from 19, • from 20, ⋄ from 21, ◃ from 23, –: least-square fit.
Grahic Jump Location
Variations of coefficients (a) a,b,c,d, (b) e,f,g,k, (c) p,q with h/H.
Grahic Jump Location
Location of vortex center xv/H vs. (a) reattachment length xr/H, (b) location of minimum pressure (xm/H).○ from 20, ☆ from 24, ▿ from 25, × from 26, ▵ from 27,  *  from 29, □ from 30, –: least-square fit of data from 242526 where h/H=1.
Grahic Jump Location
Location of minimum pressure xm/H vs. reattachment length xr/H. See legend of Fig. 3, –: least-square fit.
Grahic Jump Location
Variations of force cl, moment cm and center of pressure xg with reattachment length xr/H. (a), (b), (c) from 8, (d), (e), (f ) from 10. See legend of Fig. 3, –: least-square fit.
Grahic Jump Location
Variations of force cl, moment cm and center of pressure xg with reattachment length xr/H from 5. See legend of Fig. 3, –: least-square fit.
Grahic Jump Location
Variations of pressure gradient at reattachment (dcp/dx)r with reattachment length xr/H. See legend of Fig. 3, –: least-square fit.
Grahic Jump Location
Comparison of pressure distributions in two sets of reduced coordinates (x/xr,c̃p) and ((x−xm)/xr,cp*). (a) and (e) from 5, (b) and (f ) from 8, (c) and (g) from 10, (d) and (h) from 11.
Grahic Jump Location
Streamline patterns of (a) irrotational vortex and (b) vortex with vorticity. +: center of vortex.
Grahic Jump Location
A typical comparison of pressure distributions in cp* and (x−xm)/xr.–: Eq. (10), [[dashed_line]]: Eq. (11),  * , ▵, +, ○, □, × from 11.
Grahic Jump Location
Comparison of pressure distributions in cp and x/H. •: experimental data from 11 in (a)–(f ) for 2θ=180 deg, 140 deg , 127 deg , 90 deg , 60 deg , and 30 deg , ×: reattachment, –: Eqs. (9) & (10).



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