Arbitrary oscillatory Stokes flow past a porous sphere using Brinkman model

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• 作者：Jai Prakash (1) jp@maths.iitkgp.ernet.in
  G. P. Raja Sekhar (1) rajas@maths.iitkgp.ernet.in
• 关键词：Brinkman equation – Faxén’s law – Oscillatory flow – Stokes flow
• 刊名：Meccanica
• 出版年：2012
• 出版时间：June 2012
• 年：2012
• 卷：47
• 期：5
• 页码：1079-1095
• 全文大小：829.0 KB
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• 作者单位：1. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721 302 India
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mechanics
  Civil Engineering
  Automotive and Aerospace Engineering and Traffic
  Mechanical Engineering
  
• 出版者：Springer Netherlands
• ISSN：1572-9648

文摘

The present paper deals with the hydrodynamics of a porous sphere placed in an arbitrary oscillatory Stokes flow. Unsteady Stokes equation is used for the flow outside the porous sphere and Brinkman equation is used for the flow inside the porous sphere. Corresponding Faxén’s law for drag and torque is derived and compared with few existing results in some special cases. Examples like uniform flow, oscillatory shear flow and oscillating Stokeslet are discussed. Also, translational oscillation of a weakly permeable sphere is discussed.