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Content
Volume 31 (2024)
Volume 31, Issue 2 (In progress)
Pg 63 - 92 (December 2024)
Volume 31, Issue 1
Pg 1 - 61 (June 2024)
Volume 30 (2023)
Volume 30, Issue 2
Pg 107 - 185 (December 2023)
Volume 30, Issue 1
Pg 1 - 105 (June 2023)
Volume 29 (2022)
Volume 29,
Pg 1 - 58 (December 2022)
Volume 28 (2022)
Volume 28,
Pg 1 - 58 (June 2022)
Volume 27 (2021)
Volume 27, Issue 2
Pg 67 - 90 (December 2021)
Volume 27, Issue 1
Pg 1 - 65 (September 2021)
Volume 26 (2021)
Volume 26, Issue 2
Pg 85 - 140 (June 2021)
Volume 26, Issue 1
Pg 1 - 84 (March 2021)
Volume 25 (2020)
Volume 25, Issue 2
Pg 67 - 140 (October 2020)
Volume 25, Issue 1
Pg 1 - 66 (July 2020)
Volume 24 (2020)
Volume 24, Issue 1-2
Pg 1 - 55 (April 2020)
Volume 23 (2019)
Volume 23, Issue 2
Pg 119 - 214 (October 2019)
Volume 23, Issue 1
Pg 1 - 118 (July 2019)
Volume 22 (2019)
Volume 22, Issue 2
Pg 101 - 204 (April 2019)
Volume 22, Issue 1
Pg 1 - 100 (January 2019)
Volume 21 (2018)
Volume 21, Issue 4
Pg 389 - 587 (October 2018)
Volume 21, Issue 3
Pg 279 - 388 (July 2018)
Volume 21, Issue 2
Pg 127 - 278 (April 2018)
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Pg 1 - 125 (January 2018)
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Volume 20, Issue 4
Pg 457 - 625 (October 2017)
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Pg 335 - 456 (July 2017)
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Pg 211 - 334 (April 2017)
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Pg 1 - 209 (January 2017)
Volume 19 (2016)
Volume 19, Issue 4
Pg 725 - 937 (October 2016)
Volume 19, Issue 3
Pg 489 - 723 (July 2016)
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Pg 203 - 488 (April 2016)
Volume 19, Issue 1
Pg 1 - 201 (January 2016)
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Pg 163 - 343 (October 2015)
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Pg 1 - 162 (July 2015)
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Volume 17, Issue 2
Pg 135 - 283 (April 2015)
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Pg 1 - 134 (January 2015)
Volume 16 (2014)
Volume 16, Issue 2
Pg 163 - 251 (October 2014)
Volume 16, Issue 1
Pg 1 - 98 (July 2014)
Volume 15 (2014)
Volume 15, Issue 2
Pg 101 - 208 (April 2014)
Volume 15, Issue 1
Pg 1 - 100 (January 2014)
Volume 14 (2013)
Volume 14, Issue 2
Pg 147 - 283 (October 2013)
Volume 14, Issue 1
Pg 1 - 145 (July 2013)
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Volume 13, Issue 2
Pg 75 - 156 (April 2013)
Volume 13, Issue 1
Pg 1 - 74 (January 2013)
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Pg 81 - 147 (October 2012)
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Pg 1 - 80 (July 2012)
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Pg 73 - 161 (April 2012)
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Pg 1 - 72 (January 2012)
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Pg 79 - 169 (October 2011)
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Pg 1 - 77 (July 2011)
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Pg 1 - 76 (January 2011)
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Pg 99 - 211 (October 2010)
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Pg 1 - 97 (July 2010)
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Pg 81 - 188 (April 2010)
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Pg 1 - 80 (January 2010)
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Pg 103 - 195 (October 2009)
Volume 6, Issue 1
Pg 1 - 101 (July 2009)
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Volume 5, Issue 2
Pg 107 - 218 (April 2009)
Volume 5, Issue 1
Pg 1 - 106 (January 2009)
Volume 4 (2008)
Volume 4, Issue 2
Pg 117 - 228 (October 2008)
Volume 4, Issue 1
Pg 1 - 115 (July 2008)
Volume 3 (2008)
Volume 3, Issue 2
Pg 105 - 237 (April 2008)
Volume 3, Issue 1
Pg 1 - 103 (January 2008)
Volume 2 (2007)
Volume 2, Issue 2
Pg 117 - 238 (October 2007)
Volume 2, Issue 1
Pg 1 - 115 (July 2007)
Volume 1 (2007)
Volume 1, Issue 2
Pg 101 - 205 (April 2007)
Volume 1, Issue 1
Pg 1 - 100 (January 2007)
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Advances and Applications in Fluid Mechanics
Advances and Applications in Fluid Mechanics
Volume 6, Issue 1, Pages 81 - 101 (July 2009)
FLOW OVER SHARP CRESTED WAVES ON DEEP WATER. PART 1: THEORY
S. G. Sajjadi (U.S.A.)
Abstract:
Croft and Sajjadi [3] successfully constructed a mathematical model for separated laminar flow over a wavy boundary with sharp crests. In order to adapt this model to sharp-crested water waves the dynamic condition at the surface has to be satisfied. Thus, the aim of this paper is to show how the dynamic condition can be applied to problems involving sharp-crested water waves. To illustrate the technique, the simpler problem of unseparated flow will be considered. The method consists of using a new non-orthogonal coordinates system
where
is the sharp-crested boundary. A separable solution is obtained in the new coordinate system for the water which satisfies the kinematic condition at the interface exactly. The velocity potentials
and
where a and w refer to air and water respectively, together with the equation of the interface, are expressed as a Fourier series. The dynamic condition at the interface enables the phase speed for each mode to be calculated.
Keywords and phrases:
sharp-crested water waves, unseparated flow, Fourier series.
Communicated by K. K. Azad
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P-ISSN: 0973-4686
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