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Short-crest wave and current coexist widely in the ocean environments. However, the interaction between them has been studied recently and the method of velocity potential function was generally applied. Unlike the previous study, this article considers that location variable‘x'and time variable‘t'are independent of each other and it does not take into account the capillary effect, thus leading to an addition of a first-order time item in the second-order velocity potential function. Based on the perturbation technique, a second-order analytical solution is derived. Comparisons between the result in this article, where variables‘x'and‘t'are dependent on each other and the capillary effect is considered, and Huang's solutions show the difference. The difference between wave profile and wave pressure on mudline will become apparent with the increase of wave height, indicating that the solutions obtained in this article will be much suitable for ocean conditions with larger wave height.
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Keywords:
- short-crest wave /
- two-dimensional uniform currents /
- interaction of wave and current /
- second-order analytical solutions
[1] Hsu J R C, Tsuchiya Y, Silvester R 1979 J. Fluid Mech. 90 179
[2] Robert A J 1983 J. Fluid Mech. 135 301
[3] Kimmoun O, Branger H, Kharif C 1999 Eur. J. Mech. B 18 889
[4] Deng Z Z, Huang H 2010 Acta Phys. Sin. 59 735 (in Chinese) [邓争志, 黄虎 2010 59 735]
[5] Huang H, Xia Y B 2010 Acta Phys. Sin. 59 3663 (in Chinese) [黄虎, 夏应波 2010 59 3663]
[6] Huang H 2008 Chinese Sin. Bulletin 53 1759(in Chinese) [黄虎 2008 科学通报 53 1759]
[7] Huang H 2009 Acta Phys. Sin. 58 3655 (in Chinese) [黄虎 2009 58 3655]
[8] Huang H, Jia F 2006 Acta Mech. Sin. 22 433
[9] Jian Y J, Zhu Q Y, Zhang J, Wang Y F 2009 Appl. Math. Model 33 2035
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[1] Hsu J R C, Tsuchiya Y, Silvester R 1979 J. Fluid Mech. 90 179
[2] Robert A J 1983 J. Fluid Mech. 135 301
[3] Kimmoun O, Branger H, Kharif C 1999 Eur. J. Mech. B 18 889
[4] Deng Z Z, Huang H 2010 Acta Phys. Sin. 59 735 (in Chinese) [邓争志, 黄虎 2010 59 735]
[5] Huang H, Xia Y B 2010 Acta Phys. Sin. 59 3663 (in Chinese) [黄虎, 夏应波 2010 59 3663]
[6] Huang H 2008 Chinese Sin. Bulletin 53 1759(in Chinese) [黄虎 2008 科学通报 53 1759]
[7] Huang H 2009 Acta Phys. Sin. 58 3655 (in Chinese) [黄虎 2009 58 3655]
[8] Huang H, Jia F 2006 Acta Mech. Sin. 22 433
[9] Jian Y J, Zhu Q Y, Zhang J, Wang Y F 2009 Appl. Math. Model 33 2035
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