Consider a two layer fluid each with infinite depth and different density, the denser layer is located on the bottom. Assume that the layers are immiscible since this allows us to ignore the effects of mixing, incompressible, and irrotational. The top layer of fluid is denoted with a subscript 1 and the bottom layer with a subscript 2. Find the velocity potentials and the dispersion relation of the two layer fluid gravity wave.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter8: Engineering Materials
Section: Chapter Questions
Problem 85CQ
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Consider a two layer fluid each with infinite depth and different density, the denser layer is located on the bottom. Assume that the layers are immiscible since this allows us to ignore the effects of mixing, incompressible, and irrotational. The top layer of fluid is denoted with a subscript 1 and the bottom layer with a subscript 2. Find the velocity potentials and the dispersion relation of the two layer fluid gravity wave.

z = H1
IN
H2 = -00
P2 P1
Z = -00
Transcribed Image Text:z = H1 IN H2 = -00 P2 P1 Z = -00
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