Flow in a Viscous Vortex

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Abstract
Equations have been derived for velocity, temperature, and pressure distribution in a two-dimensional compressible viscous vortex with a steady state component of radial flow. Radial velocity has been assumed small compared with the tangential component, and heat transfer has been neglected. The equations have been based upon the Navier-Stokes equation in its most general form, the First Law of Thermodynamics, and the Gas Laws. A reference radius has been defined where viscous stress is zero; from this, nondimensional forms have been set up and generalized charts prepared for ready visualization and numerical applications. Because of the classical concept of viscosity as used in the Navier-Stokes equation, results are strictly applicable to laminar flow only; a discussion is presented regarding possible application to turbulent flow.

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