TY - JOUR
T1 - Frictional effect on stability of discontinuity interface in tangential velocity of a shallow-water flow
AU - Jin, Liangbing
AU - Thị Thái, Lê
AU - Fukumoto, Yasuhide
N1 - Funding Information:
We are grateful to Philip J. Morrison for invaluable discussions. LBJ would like to express his deep appreciation to the China Scholarship Council (File No. 201508330679 ) for financially supporting his one-year visit to Kyushu University. TTL was supported by the Ministry of Education, Culture, Sports, Science and Technology , Japan with scholarship award. YF was supported by a Grant-in-Aid for Scientific Research from the Japan Society for the Promotion of Science (Grant No. 16K05476 ). This work was supported by 2017 IMI Joint Use Research Program CATEGORY “Short-term Joint Research”.
Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2019/9/12
Y1 - 2019/9/12
N2 - We examine a frictional effect on the linear stability of an interface of discontinuity in tangential velocity. The fluid is moving with uniform velocity U in a region but is at rest in the other, and the bottom surface is assumed to exert drag force, quadratic in velocity, on the thin fluid layer. In the absence of the drag, the instability of the Kelvin-Helmholtz type is suppressed for U>8c, with c being the propagating speed of the gravity wave. We find by asymptotic analyses for both small and large values of the drag strength that the drag, regardless of its strength, makes the flow unstable for the whole range of the Froude number U/c.
AB - We examine a frictional effect on the linear stability of an interface of discontinuity in tangential velocity. The fluid is moving with uniform velocity U in a region but is at rest in the other, and the bottom surface is assumed to exert drag force, quadratic in velocity, on the thin fluid layer. In the absence of the drag, the instability of the Kelvin-Helmholtz type is suppressed for U>8c, with c being the propagating speed of the gravity wave. We find by asymptotic analyses for both small and large values of the drag strength that the drag, regardless of its strength, makes the flow unstable for the whole range of the Froude number U/c.
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U2 - 10.1016/j.physleta.2019.125839
DO - 10.1016/j.physleta.2019.125839
M3 - Article
AN - SCOPUS:85069609642
SN - 0375-9601
VL - 383
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 26
M1 - 125839
ER -