The optimum groove geometry for spiral viscous pumps
Abstract
The optimum geometries of disk and cylindrical spiral groove viscous pumps to provide the maximum pressure or flow rate are investigated theoretically. The geometrical design parameters, such as the groove angle, groove to ridge clearance ratio, groove width ratio, and ridge clearance ratio, are considered as functions of meridional coordinate. Results are obtained from the solution of a differential equation for the smoothed overall pressure distribution of a spiral groove viscous pump. It is found that outflow rate increases with the increase of groove to ridge clearance ratio lambda, and that for each value of lambda there exist 'optimum' values of groove angle and groove width ratio, which give a maximum outflow rate. However, the increase of lambda decreases the ridge clearance.
 Publication:

ASME Transactions Journal of Tribology
 Pub Date:
 April 1990
 Bibcode:
 1990ATJTr.112..409S
 Keywords:

 Flow Velocity;
 Grooves;
 Viscopumps;
 Continuity Equation;
 Curves (Geometry);
 Design Analysis;
 Film Thickness;
 Fluid Mechanics and Heat Transfer