On the Deformation of an Elastic Particle Falling in a Viscous Fluid

• Murata Tadayoshi

  Department of Physics, Faculty of Science, Tokyo Metropolitan University

Bibliographic Information

Other Title

• On the Deformation of an Elastic Partic

Abstract

The steady motion of a flexible solid particle in a quienscent unbounded viscous fluid is investigated theoretically. It is assumed that the particle is a homogeneous, isotropic elastic body obeying Hooke’s law and that the undeformed particle is spherical in shape. It is further assumed that the motion of fluid obeys the Stokes equation. It is shown that for small values of the parameter α=ηU₀⁄GR₀, where η is the shear viscosity of fluid, G the shear modulus of the particle and U₀ the terminal settling velocity of a rigid particle whose radius is R₀, the particle deforms into a prolate spheroid and the deviation from a sphere is in proportion to α². The effect of the deformation on the terminal settling velocity of the particle is also included in the analysis.

Journal

• Journal of the Physical Society of Japan

  Journal of the Physical Society of Japan 48 (5), 1738-1745, 1980

  THE PHYSICAL SOCIETY OF JAPAN

Keywords

• General Physics and Astronomy

Details

• CRID: 1390282679159768320
• NII Article ID: 110001964962
• NII Article ID: 210000088508
• NII Article ID: 130003737977
• NII Book ID: AA00704814
• DOI: 10.1143/jpsj.48.1738
• BIBCODE: 1980JPSJ...48.1738M
• ISSN: 13474073
• ISSN: 00319015
• NDL BIB ID: 2179460
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I2179460
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.48.1738
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed