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Fluid kinematics on a deformable surface

Published online by Cambridge University Press:  11 October 2005

J.-Z. WU ,
Y.-T. YANG ,
Y.-B. LUO  and
C. POZRIKIDIS
J.-Z. WU
Affiliation:
State Key Laboratory for Turbulence and Complex System, Peking University, Beijing 100871, China University of Tennessee Space Institute, Tullahoma, TN 37388, USA
Y.-T. YANG
Affiliation:
State Key Laboratory for Turbulence and Complex System, Peking University, Beijing 100871, China
Y.-B. LUO
Affiliation:
State Key Laboratory for Turbulence and Complex System, Peking University, Beijing 100871, China
C. POZRIKIDIS
Affiliation:
University of California, San Diego, La Jolla, CA 92093-0411, USA
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Abstract

An expression for the rate-of-strain tensor on a rigid surface due to Caswell is generalized to an arbitrarily moving and continuously deforming surface or interface between two immiscible fluids. Corresponding expressions for the velocity gradient and vorticity tensors are derived in an inertial frame of reference. A noteworthy feature of the expression for the rate-of-strain tensor is the presence of a tangent-tangent component, which is absent in the case of a rigid surface. Kinematic applications based on numerical solutions of the Navier–Stokes equation for laminar and turbulent flow demonstrate the significance and implications of the derived expressions.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 541 , 25 October 2005 , pp. 371 - 381
Copyright
© 2005 Cambridge University Press

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