Journal of applied mathematics & informatics

  • 제41권5호
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  • Pages.1071-1084
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  • 2023
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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ON HOMOGENEOUS SHEAR FLOWS WITH BOTTOM CROSS SECTION

  • S. LAVANYA (Research Scholar,Department of Mathematics, Koneru Lakshmaiah Education Foundation) ;
  • V. GANESH (Engineering Department, University of Technology and Applied Sciences) ;
  • G. VENKATA RAMANA REDDY (Department of Mathematics, Koneru Lakshmaiah Education Foundation)
  • 투고 : 2023.01.19
  • 심사 : 2023.06.12
  • 발행 : 2023.09.30
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초록

We consider inviscid, incompressible homogeneous shear flows of variable cross section known as extended Rayleigh problem. For this extended Rayleigh problem, we derived instability region which intersect with semi-circle instability region under some condition. Also we derived condition for stability, upper bound for amplification factor and growth rate of an unstable mode.

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과제정보

The authors are thankful to reviewer for valuable suggestion to improve the manuscript.

참고문헌

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