Direct numerical simulations (DNS) are performed to investigate the transient growth of a steady disturbance induced by a numerically generated Gaussian rough wall in a laminar boundary layer. In the calculation of the interaction between the rough wall and the fluid, the multiple direct force and immersed boundary method (MDF/IBM) are adopted. The evolution of the streak structures and the energy of the disturbances generated by the rough wall are presented. A similar evolution into an almost sinusoidal modulation for the cylindrical roughness element is found for the current irregular rough wall, and the disturbance energy also undergoes the classical transient growth mode. Moreover, the influences of the skewness, kurtosis, and correlation length on the evolution of spanwise harmonics are also analyzed. The results show that the effects of skewness and kurtosis are on the distribution of energy among the wavelengths and the subsequent growth processes, while the wavelengths of the harmonics are linked to both the streamwise and spanwise correlation lengths of the rough wall.
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July 2017
Research-Article
Transient Growth and Receptivity of Steady Disturbances to Irregular Rough Walls
Xiaofei Liu,
Xiaofei Liu
State Key Laboratory of Clean Energy Utilization,
College of Energy Engineering,
Zhejiang University,
38 Zheda Road,
Hangzhou 310027, China
e-mail: lxf1095@zju.edu.cn
College of Energy Engineering,
Zhejiang University,
38 Zheda Road,
Hangzhou 310027, China
e-mail: lxf1095@zju.edu.cn
Search for other works by this author on:
Kun Luo,
Kun Luo
State Key Laboratory of Clean Energy Utilization,
College of Energy Engineering,
Zhejiang University,
38 Zheda Road,
Hangzhou 310027, China
e-mail: zjulk@zju.edu.cn
College of Energy Engineering,
Zhejiang University,
38 Zheda Road,
Hangzhou 310027, China
e-mail: zjulk@zju.edu.cn
Search for other works by this author on:
Jianren Fan
Jianren Fan
State Key Laboratory of Clean Energy Utilization,
College of Energy Engineering,
Zhejiang University,
38 Zheda Road,
Hangzhou 310027, China
e-mail: fanjr@zju.edu.cn
College of Energy Engineering,
Zhejiang University,
38 Zheda Road,
Hangzhou 310027, China
e-mail: fanjr@zju.edu.cn
Search for other works by this author on:
Xiaofei Liu
State Key Laboratory of Clean Energy Utilization,
College of Energy Engineering,
Zhejiang University,
38 Zheda Road,
Hangzhou 310027, China
e-mail: lxf1095@zju.edu.cn
College of Energy Engineering,
Zhejiang University,
38 Zheda Road,
Hangzhou 310027, China
e-mail: lxf1095@zju.edu.cn
Kun Luo
State Key Laboratory of Clean Energy Utilization,
College of Energy Engineering,
Zhejiang University,
38 Zheda Road,
Hangzhou 310027, China
e-mail: zjulk@zju.edu.cn
College of Energy Engineering,
Zhejiang University,
38 Zheda Road,
Hangzhou 310027, China
e-mail: zjulk@zju.edu.cn
Jianren Fan
State Key Laboratory of Clean Energy Utilization,
College of Energy Engineering,
Zhejiang University,
38 Zheda Road,
Hangzhou 310027, China
e-mail: fanjr@zju.edu.cn
College of Energy Engineering,
Zhejiang University,
38 Zheda Road,
Hangzhou 310027, China
e-mail: fanjr@zju.edu.cn
1Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received September 7, 2015; final manuscript received February 15, 2017; published online April 24, 2017. Assoc. Editor: Zhongquan Charlie Zheng.
J. Fluids Eng. Jul 2017, 139(7): 071202 (8 pages)
Published Online: April 24, 2017
Article history
Received:
September 7, 2015
Revised:
February 15, 2017
Citation
Liu, X., Luo, K., and Fan, J. (April 24, 2017). "Transient Growth and Receptivity of Steady Disturbances to Irregular Rough Walls." ASME. J. Fluids Eng. July 2017; 139(7): 071202. https://doi.org/10.1115/1.4036163
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