歯車ポンプ端面すきまの流体力学(第1報) : 基礎理論

概要

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The fundamental of the hydrodynamical treatment of the flow of a viscous fluid in the clearance space between the casing and the flat end of rotor of a gear pump has been studied. The main results are as follows : (1) The flow is composed of two elements, one being the rotation caused by the rotor, and the other the potential flow caused by the pressure. (2) The problem may be solved by the application of the well-known two-dimensional flow of a perfect fluid around a circle. (3) The equi-pressure lines are common to any sectional plane parallel to the rotor surface, but the configurations of stream-lines are changed. (4) The leakage through the clearance is independent of the rotation of the gear. (5) The power for driving the end surface is given by πμω^2 (a^4-b^4)/2δ, where μ=coefficient of viscosity, α=radius of gear tip, b=shaft radius and δ=amount of clearance.
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