A note on the plane vertical wavemaker in the presence of surface tension
Authors:
B. N. Mandal and S. Bandyopadhyay
Journal:
Quart. Appl. Math. 49 (1991), 627-633
MSC:
Primary 76B15; Secondary 76B45
DOI:
https://doi.org/10.1090/qam/1134744
MathSciNet review:
MR1134744
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Abstract: This paper presents another method for finding the known wave motion due to a vertical wavemaker in the presence of surface tension, either for finite constant or infinite depth, by using the Fourier integral transform technique and suitably exploiting the regularity condition of the transform.
T. H. Havelock, Forced surface waves on water, Philos. Mag. 8, 569–576 (1929)
P. F. Rhodes-Robinson, On the forced surface waves due to a vertical wave maker in the presence of a surface tension, Proc. Cambridge Philos. Soc. 70, 323–337 (1971)
- B. N. Mandal and A. Chakrabarti, The plane vertical wavemaker problem—revisited, Appl. Math. Lett. 1 (1988), no. 3, 255–258. MR 963694, DOI https://doi.org/10.1016/0893-9659%2888%2990087-0
L. M. Hocking, Capillary-gravity waves produced by a heaving body, J. Fluid Mech. 186, 337–349 (1988)
D. V. Evans, The effect of surface tension on the waves produced by a heaving circular cylinder, Proc. Cambridge Philos. Soc. 64, 833–847 (1968)
S. G. Mikhlin, Integral Equations, Pergamon Press, 1964, p. 280
T. H. Havelock, Forced surface waves on water, Philos. Mag. 8, 569–576 (1929)
P. F. Rhodes-Robinson, On the forced surface waves due to a vertical wave maker in the presence of a surface tension, Proc. Cambridge Philos. Soc. 70, 323–337 (1971)
B. N. Mandal and A. Chakrabarti, The plane vertical wavemaker problem—revisited, Appl. Math. Lett. 1, 255–258 (1988)
L. M. Hocking, Capillary-gravity waves produced by a heaving body, J. Fluid Mech. 186, 337–349 (1988)
D. V. Evans, The effect of surface tension on the waves produced by a heaving circular cylinder, Proc. Cambridge Philos. Soc. 64, 833–847 (1968)
S. G. Mikhlin, Integral Equations, Pergamon Press, 1964, p. 280
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Article copyright:
© Copyright 1991
American Mathematical Society
