Viscous Flow Due to the Motion of a Semi-Infinite Flat Plate in a Region of Fluid Bounded by a Rigid Plane

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概要

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• Two-dimensional viscous flow due to the motion of a semi-infinite flat plate moving perpendicular to its own plane in a region of fluid bounded by a rigid plane well is considered by means of the Stokes approximation. The stream function, being biharmonic, can be constructed by use of two harmonic functions. By mapping the flow region conformally onto the upper half of a complex plane, the problem can be reduced to determining the harmonic functions in this plane. From the first and second approximate solutions are obtained a lower and an upper bound, respectively, of the discharge of fluid through the gap between the plate and the well. The case in which the semi-infinite plate is held at rest and the flow is caused by the pressure difference through the gap is also considered.

• 社団法人日本物理学会の論文
• 1974-05-15

著者

• Fukuyu Akio

  Department Of Mathematical Science Faculty Of Science And Engineering Tokyo Denki University

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