ROTATIONAL SOLUTIONS OF THE EULER EQUATIONS.
AERONAUTICAL RESEARCH ASSOCIATES OF PRINCETON INC N J
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Steady-state rotational solutions of the Euler equations for an incompressible fluid are discussed, with emphasis on flows characterizing the impingement of a rotational jet upon a plane surface. These solutions are aimed at understanding actual rotational flows undergoing strong interactions, where, to a first approximation, viscous stresses may be ignored after the creation of vorticity. Of particular interest are two axially symmetric flows which have finite velocity profiles at large distances from the impingement plane. One of these has a parabolic profile and represents a flow inside a cylindrical cup of finite radius the other has a Gaussian profile with streamlines extending to infinity. Analytical expressions and computed values for velocities, velocity gradients, and pressures are given, and a comparison is made with experimental data obtained at ARAP. Author
- Numerical Mathematics
- Fluid Mechanics