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Drag on a sphere moving slowly through a fluid in elongational flow

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  • Bedeaux, D.
  • Rubi, J.M.

Abstract

The friction tensor for a sphere moving slowly through a fluid which is in elongational flow is calculated using the method of induced forces to second order in an expansion in the radius of the sphere divided by the “inverse penetration length” of transverse waves. This inverse penetration length is a function of the frequency and the elongation rate and is furthermore direction dependent. The resulting friction tensor depends as a consequence also on the direction. As a consequence the sphere may experience a lift force.

Suggested Citation

  • Bedeaux, D. & Rubi, J.M., 1987. "Drag on a sphere moving slowly through a fluid in elongational flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(2), pages 285-298.
  • Handle: RePEc:eee:phsmap:v:144:y:1987:i:2:p:285-298
    DOI: 10.1016/0378-4371(87)90192-0
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