Document Type

Thesis

Date of Award

5-31-1983

Degree Name

Master of Science in Mechanical Engineering - (M.S.)

Department

Mechanical Engineering

First Advisor

P. Hrycak

Second Advisor

John Vincent Droughton

Third Advisor

Martin J. Linden

Abstract

The free boundary of a circular jet of an irrotational, inviscid, incompressible, fluid impinging normally to a flat surface from a height of 2 times the nozzle radius, was found by a finite difference method.

Starting with a graphical solution, approximate values of the potential were given to the nodes at the field.

Having the equipotential lines perpendicular to the axis of the jet, perpendicular to the impinging surface, and having defined the value of the potential at both the entrance and exit of the jet, a finite difference expression of the Laplace's equation was used in an iteration scheme to find the value of the potential at each node.

This solution was then checked for perpendicularity of the equipotential lines to the free stream line.

The free boundary had to be modified twelve times until satisfactory solution was found.

The velocity and pressure distribution along the axis of the jet and along the surface was found. The results were compared to experimental results, and good agreement was found.

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