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A SOLUTION OF THE TWO-DIMENSIONAL TURBULENT VISCOUS CURVED JET USING THE IBM 7090 COMPUTER

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Abstract : A numerical solution of the two-dimensional curved turbulent and incompressible jet flow, using the IBM 7090 computer, is presented. This solution is a straight-forward extension of the classical straight jet solution. Its only limitation is that it assumes similar velocity profiles. The solution is obtained by reducing the Navier Stokes partial differential equations of the curved jet flow to a third-order total differential equation of the Hartree-Skan type. This equation is integrated numerically on the IBM 7090 computer using a Runge-Kutta subroutine. The boundary conditions are carefully established and discussed. The complete program for the numerical solution is included in the report. A duplicate IBM deck can be obtained from Aerophysics Company upon request. Typical numerical results, in the form of velocity and pressure distribution across the jet are presented and discussed.

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Abstract : A numerical solution of the two-dimensional curved turbulent and incompressible jet flow, using the IBM 7090 computer, is presented. This solution is a straight-forward extension of the classical straight jet solution. Its only limitation is that it assumes similar velocity profiles. The solution is obtained by reducing the Navier Stokes partial differential equations of the curved jet flow to a third-order total differential equation of the Hartree-Skan type. This equation is integrated numerically on the IBM 7090 computer using a Runge-Kutta subroutine. The boundary conditions are carefully established and discussed. The complete program for the numerical solution is included in the report. A duplicate IBM deck can be obtained from Aerophysics Company upon request. Typical numerical results, in the form of velocity and pressure distribution across the jet are presented and discussed.

Keywords

IBMTurbulenceJet (fluid)MechanicsPhysicsClassical mechanicsOptics

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