Original Article

Theoretical and Computational Fluid Dynamics

, Volume 21, Issue 2, pp 147-153

On the added mass force at finite Reynolds and acceleration numbers

  • L. WakabaAffiliated withDepartment of Theoretical and Applied Mechanics, University of Illinois
  • , S. BalachandarAffiliated withDepartment of Theoretical and Applied Mechanics, University of Illinois Email author 

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Abstract

Numerical simulations of flow around a rigid sphere, subjected to a sudden acceleration (or deceleration) in relative velocity, are considered. Particular attention is paid to the interaction between the imposed sudden acceleration and a preexisting finite Re wake. The results clearly establish the independence of added mass coefficient to the acceleration number and to the state of flow prior to acceleration. A simple reasoning based on the different time scales of the flow is given.

PACS

47.55.Kf