Self‐Modelling Flows of Non‐Newtonian Viscous Liquids

Abstract

An interesting class of exact solutions of the equations of motion of viscous liquids pertains to the case of flows with axial symmetry so that the derivatives of the functions with respect to one of where is v = de, vc = pcle 65 and the Laplacian. operator. Prom the continuity the coordinates vanish. If r, 0 , ~ am the spherical polar coordinates of a point with 6 measured from the axis of symmetry, one way of seeking exact solutions is to assume that each of the dependant functions such as the velocity components and pres- sure can be represented as a product of a power of the radius r and a function of the angle 8. Following L. A.VULIS and V.P.KASKAROV [l], we may refer to such flows as 'self-modelling flows'.