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KSME Journal

, Volume 8, Issue 1, pp 35–42 | Cite as

Vorticity and viscous dissipation in an incompressible flow

  • Yang-Moon Koh
Article

Abstract

The relation between the vorticity and viscous dissipation in an incompressible flow has been investigated. It is shown that the square of relative vorticity with respect to the coordinate system fixed to the container or to the flow at infinity gives the global rate of viscous dissipation, that is, the viscous dissipation is proportional to the volume integral of the square of relative vorticity. Thus, the total rate of viscous dissipation in the flow produced by the motion of a rigid body is proportional to the integral of the square of vorticity taken over the whole space including the region occupied by the volume of the rigid body in which the vorticity is assumed to be the twice of the angular velocity of the body.

Key Words

Vorticity Viscous Dissipation Incompressible Flow 

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References

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Copyright information

© The Korean Society of Mechanical Engineers (KSME) 1994

Authors and Affiliations

  • Yang-Moon Koh
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of UlsanUlsanSouth Korea

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