Abstract
A novel electrical analogue technique is described for the approximate solution of problems that have axial symmetry and are governed by the biharmonic equation. The approximation is good for problems where the radius of curvature of streamlines and vorticities is not too small. The technique uses two plane sheets of conducting paper linked by an array of resistors whose resistance is proportional to the distance from the axis of symmetry. The method has been satisfactorily applied to the flow of fluids at Reynold's number below 0.1 and it is shown how values of fluid velocity components and vorticity can be readily determined from the analogue. The flow of fluid parallel to a uniformly spaced array of fibres has been studied, and the Kozeny coefficient deduced shows good agreement with other theoretical and experimental values.
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