Flow in a Viscous Fluid Caused by a Velocity Distribution Given on a Plane Boundary
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The two-dimensional flow of a viscous fluid caused by a velocity distribution given on a plane boundary is investigated theoretically using Stoke's approximation. A general formula for the velocity components of the flow in a hail-space bounded by a plane wall with a given velocity is obtained from the superposition of the solution of the viscous flow due to a source on a plane wall. Several problems for the slow motion of the viscous fluid of this kind are solved by making use of this formula. It is supposed that the formula for velocity components is an expedient for solving the problems of a viscous flow associated with the ventilation in a room and the ground water
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