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Flow visualization studies on the laminar boundary layer flows over a 25° compression ramp are carried out via NPLS technique in a Mach 3.0 wind tunnel; fine flow structures such as boundary layer, shear layer, and shock waves may be visualized clearly. Based on the visualized data, quantitative analysis is conducted using intermittency, spatial correlations, and fractal theory. The intermittency function γ of the boundary layer and the interaction region is calculated, and the size of coherent structures and the structure angle θ for the boundary layer are obtained, so that the fractal dimension of the boundary layer in streamwise can be provided. Experimental data in the present paper have been compared with the results of Ringuette and Bookey, and the quantitative characteristics of flow structures are discussed in detail.
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Keywords:
- NPLS /
- intermittency /
- spatial correlations /
- fractal
[1] Wu Y, Yi S H, Chen Z, Zhang Q H, Gang D D 2013 Acta Phys. Sin. 62 184702 (in Chinese) [武宇,易仕和, 陈植, 张庆虎, 冈敦殿 2013 62 184702]
[2] Gramann R A, Dolling D S 1990 AIAA Paper 0380
[3] Gramann R A, Dolling D S 1992 AIAA Paper 0744
[4] Chan S C, Clemens N T, Dolling D S 1995 AIAA Paper 2195
[5] Ganapathisubramani B, Clemens N T, Dolling D S 2007 J. Fluid Mech. 585 369
[6] Wu M W, Martin M P 2008 J. Fluid Mech. 594 71
[7] Gieseking D A, Edwards J R 2012 AIAA J. 50 2057
[8] Ganapathisubramani B, Clemens N T, Dolling D S 2009 J. Fluid Mech. 636 397
[9] Prince S A, Vannahme M, Stollery J L 1999 AIAA Paper 0147
[10] Ringuette M J, Smits A J 2007 AIAA Paper 4113
[11] Verma S B, Manisankar C 2012 AIAA J. 50 2753
[12] Verma S B, Manisankar C, Raju C 2012 Shock Waves 22 327
[13] Ganapathisubramani B, Clemens N T, Dolling D S 2006 AIAA Paper 0324
[14] Antonia R A 1981 Annu. Rev. Fluid Mech. 13 131
[15] Wallace J M, Eckelmann H, Brodkey R S 1972 J. Fluid Mech. 54 39
[16] Willmarth W W, Lu S S 1972 J. Fluid Mech. 55 65
[17] Berkooz G, Holmes P, Lumley J L 1993 Annu. Rev. Fluid Mech. 25 539
[18] Adrian R J, Moin P 1988 J. Fluid Mech. 190 531
[19] Chen J, F Hussain, Pei J, She Z S 2014 J. Fluid Mech. 742 291
[20] Sreenivasan K R, Meneveau C 1986 J. Fluid Mech. 173 357
[21] Sreenivasan K R 1991 Annu. Rev. Fluid Mech. 23 539
[22] Smith M W, Smits A J 1995 Exp Fluids 18 288
[23] Bourdon C J, Dutton J C 1999 Phys Fluids 11 201
[24] Poggie J, Erbland P J, Smits A J, Miles R B 2004 Exp Fluids 37 438
[25] Ganapathisubramani B, Hutchins N, Hambleton W T, Longmire E K, Marusic I 2005 J. Fluid Mech. 524 57
[26] Elliott G S, Samimy M, Arnette S A 1995 Phys Fluids 7 864
[27] Bookey P, Wyckham C, Smits A J, Martin M P 2005 AIAA Paper 0309
[28] Ringuette M J, Bookey P, Wyckham C, Smits A J 2009 AIAA J. 47 373
[29] Humble R A, Peltier S J, Bowersox R D W 2012 Phys Fluids 24 106103
[30] Yi S H, He L, Zhao Y X, Tian L F, Cheng Z Y 2009 Sci. China 52 2001
[31] Zhao Y X, Yi S H, Tian L F, He L, Cheng Z Y 2009 Sci. China 52 3640
[32] Zhao Y X, Yi S H, He L, Cheng Z Y, Tian L F 2007 Chin. Sci. Bull. 52 1297
[33] He L, Yi S H, Tian L F, Chen Z, Zhu Y Z 2013 Chin. Phys. B 22 24704
[34] Chen Z, Yi S H, He L, Tian L F, Zhu Y Z 2012 Chin. Sci. Bull. 57 584
[35] Zhang Q H, Yi S H, Zhu Y Z, Chen Z, Wu Y 2013 Chin. Phys. Lett. 30 044701
[36] Zhu Y Z, Yi S H, Chen Z, Ge Y, Wang X H, Fu J 2013 Acta Phys. Sin. 62 084219 (in Chinese) [朱杨柱, 易仕和, 陈植, 葛勇, 王小虎, 付佳 2013 62 084219]
[37] Quan P C, Yi S H, Wu Y, Zhu Y Z, Chen Z 2014 Acta Phys. Sin. 63 084703 (in Chinese) [全鹏程, 易仕和, 武宇, 朱杨柱, 陈植 2014 63 084703]
[38] Klebanoff P S 1955 NACA TR 1247
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[1] Wu Y, Yi S H, Chen Z, Zhang Q H, Gang D D 2013 Acta Phys. Sin. 62 184702 (in Chinese) [武宇,易仕和, 陈植, 张庆虎, 冈敦殿 2013 62 184702]
[2] Gramann R A, Dolling D S 1990 AIAA Paper 0380
[3] Gramann R A, Dolling D S 1992 AIAA Paper 0744
[4] Chan S C, Clemens N T, Dolling D S 1995 AIAA Paper 2195
[5] Ganapathisubramani B, Clemens N T, Dolling D S 2007 J. Fluid Mech. 585 369
[6] Wu M W, Martin M P 2008 J. Fluid Mech. 594 71
[7] Gieseking D A, Edwards J R 2012 AIAA J. 50 2057
[8] Ganapathisubramani B, Clemens N T, Dolling D S 2009 J. Fluid Mech. 636 397
[9] Prince S A, Vannahme M, Stollery J L 1999 AIAA Paper 0147
[10] Ringuette M J, Smits A J 2007 AIAA Paper 4113
[11] Verma S B, Manisankar C 2012 AIAA J. 50 2753
[12] Verma S B, Manisankar C, Raju C 2012 Shock Waves 22 327
[13] Ganapathisubramani B, Clemens N T, Dolling D S 2006 AIAA Paper 0324
[14] Antonia R A 1981 Annu. Rev. Fluid Mech. 13 131
[15] Wallace J M, Eckelmann H, Brodkey R S 1972 J. Fluid Mech. 54 39
[16] Willmarth W W, Lu S S 1972 J. Fluid Mech. 55 65
[17] Berkooz G, Holmes P, Lumley J L 1993 Annu. Rev. Fluid Mech. 25 539
[18] Adrian R J, Moin P 1988 J. Fluid Mech. 190 531
[19] Chen J, F Hussain, Pei J, She Z S 2014 J. Fluid Mech. 742 291
[20] Sreenivasan K R, Meneveau C 1986 J. Fluid Mech. 173 357
[21] Sreenivasan K R 1991 Annu. Rev. Fluid Mech. 23 539
[22] Smith M W, Smits A J 1995 Exp Fluids 18 288
[23] Bourdon C J, Dutton J C 1999 Phys Fluids 11 201
[24] Poggie J, Erbland P J, Smits A J, Miles R B 2004 Exp Fluids 37 438
[25] Ganapathisubramani B, Hutchins N, Hambleton W T, Longmire E K, Marusic I 2005 J. Fluid Mech. 524 57
[26] Elliott G S, Samimy M, Arnette S A 1995 Phys Fluids 7 864
[27] Bookey P, Wyckham C, Smits A J, Martin M P 2005 AIAA Paper 0309
[28] Ringuette M J, Bookey P, Wyckham C, Smits A J 2009 AIAA J. 47 373
[29] Humble R A, Peltier S J, Bowersox R D W 2012 Phys Fluids 24 106103
[30] Yi S H, He L, Zhao Y X, Tian L F, Cheng Z Y 2009 Sci. China 52 2001
[31] Zhao Y X, Yi S H, Tian L F, He L, Cheng Z Y 2009 Sci. China 52 3640
[32] Zhao Y X, Yi S H, He L, Cheng Z Y, Tian L F 2007 Chin. Sci. Bull. 52 1297
[33] He L, Yi S H, Tian L F, Chen Z, Zhu Y Z 2013 Chin. Phys. B 22 24704
[34] Chen Z, Yi S H, He L, Tian L F, Zhu Y Z 2012 Chin. Sci. Bull. 57 584
[35] Zhang Q H, Yi S H, Zhu Y Z, Chen Z, Wu Y 2013 Chin. Phys. Lett. 30 044701
[36] Zhu Y Z, Yi S H, Chen Z, Ge Y, Wang X H, Fu J 2013 Acta Phys. Sin. 62 084219 (in Chinese) [朱杨柱, 易仕和, 陈植, 葛勇, 王小虎, 付佳 2013 62 084219]
[37] Quan P C, Yi S H, Wu Y, Zhu Y Z, Chen Z 2014 Acta Phys. Sin. 63 084703 (in Chinese) [全鹏程, 易仕和, 武宇, 朱杨柱, 陈植 2014 63 084703]
[38] Klebanoff P S 1955 NACA TR 1247
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