Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · 1914 · 22 citations · 0 references
EngineeringMechanical EngineeringPhysicsFluid DynamicsFluid MechanicsRheologyFlow BehaviorFlow ResistanceFluid PropertiesFrictional ResistanceViscous FlowViscous ResistanceFrictional Resistance CoefficientHydrodynamic SimilarityKinematic ViscosityRelative Motion DynamicsSimilarity LawsSurface FrictionViscosity
Abstract The paper deals with an experimental investigation of the similarity of motion in fluids, of widely different viscosities and densities, in motion relative to geometrically similar surfaces, the existence of which has been predicted from considerations of dynamical similarity by Stokes, Helmholtz, Osborne Reynolds, and Lord Rayleigh. The theory in its most general form may be expressed by the relation given by Lord Rayleigh R = ρv2f(vL/v), where R is the resistance per unit area of the surface, ρ the density of the fluid, v the velocity, L a linear dimension of the surface, v the kinematical coefficient of viscosity of the fluid, and the assumptions made in the derivation of the expression are that R depends solely on ρ, L, v, and v.