Two Model Laws on Highly Viscous Fluids

JSGT 1949 V33 T163-T166

It is well known that, starting from considerations laid down in Newton's, Froude's, Reynolds' and Cauchy's works, we have been able to establish laws or formulae treating the relationship between inertia forces and gravity forces (Froude's model law), inertia forces and viscosity forces (Reynolds' model law) and inertia forces and elasticity forces (Cauchy's model law). Furthermore, Weber has established a law treating the connection between inertia forces and surface forces (Weber's model law). The said laws express the conditions for dynamic and thereby kinematic similarity in geometrically similar systems, when inertia forces are acting together with one of the above other kinds of force.

A. H. M. Andreasen