More on the Plane Turbulent Jet
Abstract
The paper describes a simplification of the mathematical analysis relating to the partial differential equation obtained and analyzed by Tollmien (1926) for the solution of the submerged plane turbulent jet. This equation is reduced by the similar transformation to an ordinary differential equation: (df/dxi)(df/dxi) + f(df/dxi) = 2(d2f/dxi2)(d3f/dxi3), where xi is a similar variable. This equation is shown to be solvable in a straightforward manner. The method features the introduction of another adjustable parameter in addition to Tollmien's scaling factor, so that systematic deviations observed in experimental profiles can be compensated for.
 Publication:

Journal of Spacecraft and Rockets
 Pub Date:
 December 1975
 DOI:
 10.2514/3.27875
 Bibcode:
 1975JSpRo..12..778M
 Keywords:

 Mixing Length Flow Theory;
 Partial Differential Equations;
 Transformations (Mathematics);
 Turbulent Jets;
 Two Dimensional Jets;
 Flow Equations;
 Flow Velocity;
 Mathematical Models;
 Stream Functions (Fluids);
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer