Theory of the Spiral-Groove type Viscosity Pump

Abstract

This paper treats the theory of a viscosity pump with spiral groove. The rotating disc is in contact with the bed plate having the groove in shape of spiral. If the groove is narrow and shallow, and the liquid is viscous, the rotor is able to give the effective driving shear to the liquid, forcing it towards the centre of rotation. Starting from viscosity law, the equation of pump characteristics have been deduced, and further developed for the grooves in shape of logarithmic spiral and spiral of Archimedes. On the basis of characteristics drawn in the analysis, the optimum ratio of the radial distances of the inlet and outlet of the groove has been determined.