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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)
  • Received : 2023.01.19
  • Accepted : 2023.06.12
  • Published : 2023.09.30

Abstract

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.

Keywords

Acknowledgement

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

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