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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2022, Volume 63, Issue 1, Pages 23–32
DOI: https://doi.org/10.15372/PMTF20220104 (Mi pmtf5) 		 
Generation of two-dimensional unsteady motion in a viscous incompressible fluid of finite depth

P. Kundua, B. N. Mandalb

a Jadavpur University, Kolkata, 700032, India
b Indian Statistical Institute, Kolkata, 700108, India
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DOI: https://doi.org/10.15372/PMTF20220104
Abstract: The problem of generation of two-dimensional unsteady motion in a viscous incompressible fluid of finite depth is investigated here. The motion is generated due to initial disturbances in the form of prescribed surface pressure or displacement at the free surface. The Fourier transform with respect to space and the Laplace transform with respect to time are used to obtain the form of the free surface in terms of multiple integrals. Finally, an asymptotic form of the free surface is obtained using the method of steepest descent.
Keywords: unsteady motion, viscous fluid, Laplace and Fourier transforms, method of steepest descent, free surface depression.
Funding agency Grant number
Council of Scientific and Industrial Research (CSIR), India
Received: 02.07.2020
Revised: 25.08.2020
Accepted: 31.08.2020
English version:
Journal of Applied Mechanics and Technical Physics, 2022, Volume 63, Issue 1, Pages 11–16
DOI: https://doi.org/10.1134/S0021894422010047
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: P. Kundu, B. N. Mandal, “Generation of two-dimensional unsteady motion in a viscous incompressible fluid of finite depth”, Prikl. Mekh. Tekh. Fiz., 63:1 (2022), 23–32; J. Appl. Mech. Tech. Phys., 63:1 (2022), 11–16
Citation in format AMSBIB
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\by P.~Kundu, B.~N.~Mandal
\paper Generation of two-dimensional unsteady motion in a viscous incompressible fluid of finite depth
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2022
\vol 63
\issue 1
\pages 23--32
\mathnet{http://mi.mathnet.ru/pmtf5}
\crossref{https://doi.org/10.15372/PMTF20220104}
\elib{https://elibrary.ru/item.asp?id=48064233}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2022
\vol 63
\issue 1
\pages 11--16
\crossref{https://doi.org/10.1134/S0021894422010047}
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