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The Lorentz force can be used to control the boundary layer flow of low-conduction fluids; however, its lowest control efficiency has become the main bottleneck in its engineering application. In order to enhance the control efficiency of Lorentz force, we need to study its potential control mechanism. In the present paper, the flow around hydrofoil when using Lorentz force has been simulated numerically by use of dual-time-step Roe method as well as studied experimentally in a water tank. Results show that the hydrofoil drag decreases sharply first and reincreases later, showing that the control effect of the Lorentz force is reduced with the increase of stream velocity, as well as the amplitude-change of the lift and drag; however, the lift increases continuously. The basic mechanism of this phenomenon is that the Lorentz force can form Lorentz force thrust, which increases the wall friction and decreases the pressure on the hydrofoil surface; at the incipient stage of control, the Lorentz force thrust decreases the drag and increases the lift immensely, soon afterwards, due to the action of Lorentz force, the drag increases with the increase of wall shear force and the lift increases with the decrease of upper surface pressure, so that the thrust can increase both the drag and lift.
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Keywords:
- boundary layer /
- Lorentz force /
- flow around hydrofoil /
- flow control
[1] Thibert J, Reneaux J, Moens F, Preist J 1995 Aeronaut. J. 99 395
[2] Lee S, Loth E, Babinsky H 2011 Comput. Fluids 49 233
[3] Lee S J, Jang Y G 2005 J. Fluids Struct. 20 659
[4] Rathnasingham R, Breuer K S 2003 J. Fluid Mech. 495 209
[5] Kral L D 1999 ASME Fluids Engineering Division Newsletter Nashville, Tennessee, USA November 14–19, 1999 p3
[6] Pulugundla G, Heinicke C, Karcher C, Thess A 2013 Eur. J. Mech. B: Fluids 41 23
[7] Taberner A, Hogan N C, Hunter I W 2012 Med. Eng. Phys. 34 1228
[8] Sun X H, Zhang H H 2011 Chin. Phys. Lett. 28 14703
[9] Peng C, Gao Y 2012 Acta Astronaut. 77 12
[10] Groenesteijn J, Lammerink T S J, Wiegerink R J, Haneveld J, Lötters J C 2012 Sens. Actuators A 186 48
[11] Lee F Y, Tang T L, Fang W 2011 Procedia Engineering 25 689
[12] Jiang H Y, Ren Y K, Ao H R, Antonio R 2008 Chin. Phys. B 17 4541
[13] Henoch C, Stace J 1995 Phys. Fluids 7 1371
[14] Berger T W, Kim J, Lee C, Lim J 2000 Phys. Fluids 12 631
[15] Breuer K S, Park J, Henoch C 2004 Phys. Fluids 16 897
[16] Mei D J, Fan B C, Chen Y H, Ye J F 2010 Acta Phys. Sin. 59 8335 (in Chinese) [梅栋杰, 范宝春, 陈耀慧, 叶经方 2010 59 8335]
[17] Mei D J, Fan B C, Huang L P, Dong G 2010 Acta Phys. Sin. 59 6786 (in Chinese) [梅栋杰, 范宝春, 黄乐萍, 董刚 2010 59 6786]
[18] Mei D J, Fan B C, Chen Y H, Ye J F 2011 Acta Mech. Sin. 43 653 (in Chinese) [梅栋杰, 范宝春, 陈耀慧, 叶经方 2011 力学学报 43 653]
[19] Weier T, Fey U, Gerbeth G, Mutschke G, Avilov V 2000 ERCOFTAC bulletin 44 36
[20] Weier T, Gerbeth G, Mutschke G, Platacis E, Lielausis O 1998 Exp. Therm Fluid Sci. 16 84
[21] Kim S J, Lee C M 2000 Exp. Fluids 28 252
[22] Kim J 2003 Phys. Fluids 15 1093
[23] Kim S J, Lee C M 2001 Fluid Dyn. Res. 29 47
[24] Zhang H, Fan B, Chen Z 2011 Chin. Phys. Lett. 28 124701
[25] Zhang H, Fan B, Li H 2011 Sci. China Phys. Mech. Astron. 54 2248
[26] Zhang H, Fan B C, Chen Z H, Chen S, Li H Z 2013 Chin. Phys. B 22 104701
[27] Choi H, Moin P, Kim J 1994 J. Fluid Mech. 262 75
[28] Pang J, Choi K S 2004 Phys. Fluids 16 L35
[29] Du Y, Symeonidis V, Karniadakis G 2002 J. Fluid Mech. 457 1
[30] Mutschke G, Gerbeth G, Albrecht T, Grundmann R 2006 Eur. J. Mech. B: Fluids 25 137
[31] Shatrov V, Gerbeth G 2007 Phys. Fluids 19 035109
[32] Chen Y H, Fan B C, Chen Z H, Zhou B M 2008 Acta Phys. Sin. 57 648 (in Chinese) [陈耀慧, 范宝春, 陈志华, 周本谋 2008 57 648]
[33] Rogers S E, Kwak D 1990 AIAA J. 28 253
[34] Rogers S E, Kwak D, Kiris C 1991 AIAA J. 29 603
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[1] Thibert J, Reneaux J, Moens F, Preist J 1995 Aeronaut. J. 99 395
[2] Lee S, Loth E, Babinsky H 2011 Comput. Fluids 49 233
[3] Lee S J, Jang Y G 2005 J. Fluids Struct. 20 659
[4] Rathnasingham R, Breuer K S 2003 J. Fluid Mech. 495 209
[5] Kral L D 1999 ASME Fluids Engineering Division Newsletter Nashville, Tennessee, USA November 14–19, 1999 p3
[6] Pulugundla G, Heinicke C, Karcher C, Thess A 2013 Eur. J. Mech. B: Fluids 41 23
[7] Taberner A, Hogan N C, Hunter I W 2012 Med. Eng. Phys. 34 1228
[8] Sun X H, Zhang H H 2011 Chin. Phys. Lett. 28 14703
[9] Peng C, Gao Y 2012 Acta Astronaut. 77 12
[10] Groenesteijn J, Lammerink T S J, Wiegerink R J, Haneveld J, Lötters J C 2012 Sens. Actuators A 186 48
[11] Lee F Y, Tang T L, Fang W 2011 Procedia Engineering 25 689
[12] Jiang H Y, Ren Y K, Ao H R, Antonio R 2008 Chin. Phys. B 17 4541
[13] Henoch C, Stace J 1995 Phys. Fluids 7 1371
[14] Berger T W, Kim J, Lee C, Lim J 2000 Phys. Fluids 12 631
[15] Breuer K S, Park J, Henoch C 2004 Phys. Fluids 16 897
[16] Mei D J, Fan B C, Chen Y H, Ye J F 2010 Acta Phys. Sin. 59 8335 (in Chinese) [梅栋杰, 范宝春, 陈耀慧, 叶经方 2010 59 8335]
[17] Mei D J, Fan B C, Huang L P, Dong G 2010 Acta Phys. Sin. 59 6786 (in Chinese) [梅栋杰, 范宝春, 黄乐萍, 董刚 2010 59 6786]
[18] Mei D J, Fan B C, Chen Y H, Ye J F 2011 Acta Mech. Sin. 43 653 (in Chinese) [梅栋杰, 范宝春, 陈耀慧, 叶经方 2011 力学学报 43 653]
[19] Weier T, Fey U, Gerbeth G, Mutschke G, Avilov V 2000 ERCOFTAC bulletin 44 36
[20] Weier T, Gerbeth G, Mutschke G, Platacis E, Lielausis O 1998 Exp. Therm Fluid Sci. 16 84
[21] Kim S J, Lee C M 2000 Exp. Fluids 28 252
[22] Kim J 2003 Phys. Fluids 15 1093
[23] Kim S J, Lee C M 2001 Fluid Dyn. Res. 29 47
[24] Zhang H, Fan B, Chen Z 2011 Chin. Phys. Lett. 28 124701
[25] Zhang H, Fan B, Li H 2011 Sci. China Phys. Mech. Astron. 54 2248
[26] Zhang H, Fan B C, Chen Z H, Chen S, Li H Z 2013 Chin. Phys. B 22 104701
[27] Choi H, Moin P, Kim J 1994 J. Fluid Mech. 262 75
[28] Pang J, Choi K S 2004 Phys. Fluids 16 L35
[29] Du Y, Symeonidis V, Karniadakis G 2002 J. Fluid Mech. 457 1
[30] Mutschke G, Gerbeth G, Albrecht T, Grundmann R 2006 Eur. J. Mech. B: Fluids 25 137
[31] Shatrov V, Gerbeth G 2007 Phys. Fluids 19 035109
[32] Chen Y H, Fan B C, Chen Z H, Zhou B M 2008 Acta Phys. Sin. 57 648 (in Chinese) [陈耀慧, 范宝春, 陈志华, 周本谋 2008 57 648]
[33] Rogers S E, Kwak D 1990 AIAA J. 28 253
[34] Rogers S E, Kwak D, Kiris C 1991 AIAA J. 29 603
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