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Stokes problems for moving half-planes.

Y Zeng1, S Weinbaum

  • 1Department of Mechanical Engineering, The City College of the City University of New York 10031, USA.

Journal of Fluid Mechanics
|January 1, 1995
PubMed
Summary
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New exact solutions for fluid dynamics were found for the motion of half-infinite plates. These solutions, applicable to geophysical faults and cell studies, offer a more complex structure than previous models.

Area of Science:

  • Fluid Dynamics
  • Computational Mechanics

Background:

  • Classical solutions for Navier-Stokes equations often assume simple geometries.
  • Understanding fluid flow near plate boundaries is crucial for various applications.

Purpose of the Study:

  • To derive new exact solutions for the Navier-Stokes equations.
  • To analyze the oscillatory and impulsive tangential motion of touching half-infinite plates.

Main Methods:

  • Developed new variables to simplify the analysis of the flow field near the plate contact.
  • Extended solutions from half-infinite spaces to bounded channel flows using image superposition.

Main Results:

  • Obtained exact solutions with a two-dimensional structure near the plate contact, unlike simpler separable or similarity forms.
Keywords:
NASA Discipline MusculoskeletalNASA Discipline Number 26-10NASA Program Space Physiology and CountermeasuresNon-NASA Center

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  • Provided closed-form solutions for both unbounded and bounded flow scenarios.

    • Conclusions:

    • The new solutions offer a more detailed understanding of fluid behavior at plate interfaces.
    • Applications include modeling geophysical fault motion and designing novel flow chambers for cell studies.