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Using dimensional analysis and experimental technique, the aero-optical effect at the second stage of a compressible mixing layer has been investigated. The theoretical analysis focuses on the relation between two-dimensional large-scale structure of a mixing layer and its corresponding aero-optical effects. Results show that the time-averaged bore-sight error (BSE) has nonlinear variability with the convective Mach number (Mc). Moreover, we also present the relation among time-averaged BSE and turbulent kinetic energy, Reynolds shear stress at the interface between the mixing layer and free stream. Experimental results from a thin beam light passing through the compressible mixing layer verifly the theoretical result between time-averaged BSE and Mc.
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Keywords:
- aero-optical effect /
- compressible mixing layer /
- convective Mach number /
- two-dimensional large-scale structure
[1] YIN X L 2003 Principle of Aero-Optics (in Chinese) p2 [殷兴良 2003 气动光学原理(北京:中国宇航出版社)第2页]
[2] Liu Y Y, L Q B, Zhang W X 2012 Acta Phys. Sin. 61 124201 (in Chinese) [刘扬阳, 吕群波, 张文喜 2012 物理学报 61 124201]
[3] Truman C R, Lee M J 1990 Phys. Fluids A 2 851
[4] Chew L, Christiansen W H 1990 AIAA J. 29 76
[5] Tsai Y, Christiansen W 1990 AIAA J. 28 2092
[6] Zubair F R, Philip J, Garcia P J, Catrakis H J 2006 AIAA 2006
[7] Visbal M R, Rizzetta D P 2008 AIAA 2008
[8] Zhu Y Z, Yi S H, Chen Z 2013 Acta Phys. Sin. 62 084219 (in Chinese) [朱杨柱, 易仕和, 陈植 2013 物理学报 62 084219]
[9] Sutton G W 1985 AIAA J. 23 1525
[10] Sutton G W, Pond J E, Snow R 1993 AIAA 93-2675
[11] Banish M, Clark R, Kathman A 1992 AIAA 92-2792
[12] Clark R, Banish M 1994 AIAA 93-2545
[13] Gan C J, Li L, Ma H D 2013 Acta Phys. Sin. 62 184701 (in Chinese) [甘才俊, 李烺, 马汉东 2013 物理学报 62 184701]
[14] Gan C J, Li L, Ma H D 2013 Scientia Sinica Phys. Mech. m& Astron. 43 890 (in Chinese) [甘才俊, 李烺, 马汉东 2013 中国科学: 物理学力学 天文学 43 890]
[15] Sandham N D, Reynolds W C 1990 AIAA J. 28 618
[16] Wang Q, Fu D X, Ma Y W 1997 Chinese J. Comput Phys. 14 413 (in Chinese) [王强, 傅德薰, 马延文 1997 计算物理 14 413]
[17] Papamoschou D, Roshko A 1988 J. Fluid Mech. 197 453
[18] Yang W B, Zhuang F G, Shen Q 2009 Scientia Sinica Phys. Mech. & Astron. 39 1126 (in Chinese) [杨武兵, 庄逢甘, 沈清 2009 中国科学: 物理学 力学 天文学 39 1126]
[19] Clemens N T, Mungal M G 1995 J. Fluid Mech. 284 171
[20] Vreman A W, Sandham N D, Luo K H 1996 J. Fluid Mech. 320 235
[21] Wissler J B 1991 Ph. D. Thesis (California Insititute of Technology)
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[1] YIN X L 2003 Principle of Aero-Optics (in Chinese) p2 [殷兴良 2003 气动光学原理(北京:中国宇航出版社)第2页]
[2] Liu Y Y, L Q B, Zhang W X 2012 Acta Phys. Sin. 61 124201 (in Chinese) [刘扬阳, 吕群波, 张文喜 2012 物理学报 61 124201]
[3] Truman C R, Lee M J 1990 Phys. Fluids A 2 851
[4] Chew L, Christiansen W H 1990 AIAA J. 29 76
[5] Tsai Y, Christiansen W 1990 AIAA J. 28 2092
[6] Zubair F R, Philip J, Garcia P J, Catrakis H J 2006 AIAA 2006
[7] Visbal M R, Rizzetta D P 2008 AIAA 2008
[8] Zhu Y Z, Yi S H, Chen Z 2013 Acta Phys. Sin. 62 084219 (in Chinese) [朱杨柱, 易仕和, 陈植 2013 物理学报 62 084219]
[9] Sutton G W 1985 AIAA J. 23 1525
[10] Sutton G W, Pond J E, Snow R 1993 AIAA 93-2675
[11] Banish M, Clark R, Kathman A 1992 AIAA 92-2792
[12] Clark R, Banish M 1994 AIAA 93-2545
[13] Gan C J, Li L, Ma H D 2013 Acta Phys. Sin. 62 184701 (in Chinese) [甘才俊, 李烺, 马汉东 2013 物理学报 62 184701]
[14] Gan C J, Li L, Ma H D 2013 Scientia Sinica Phys. Mech. m& Astron. 43 890 (in Chinese) [甘才俊, 李烺, 马汉东 2013 中国科学: 物理学力学 天文学 43 890]
[15] Sandham N D, Reynolds W C 1990 AIAA J. 28 618
[16] Wang Q, Fu D X, Ma Y W 1997 Chinese J. Comput Phys. 14 413 (in Chinese) [王强, 傅德薰, 马延文 1997 计算物理 14 413]
[17] Papamoschou D, Roshko A 1988 J. Fluid Mech. 197 453
[18] Yang W B, Zhuang F G, Shen Q 2009 Scientia Sinica Phys. Mech. & Astron. 39 1126 (in Chinese) [杨武兵, 庄逢甘, 沈清 2009 中国科学: 物理学 力学 天文学 39 1126]
[19] Clemens N T, Mungal M G 1995 J. Fluid Mech. 284 171
[20] Vreman A W, Sandham N D, Luo K H 1996 J. Fluid Mech. 320 235
[21] Wissler J B 1991 Ph. D. Thesis (California Insititute of Technology)
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