Applications of Hodograph Transformation to Hydrodynamic Problems Influenced by Gravitation

The hydrodynamic problems influenced by gravitation have been examined through hodograph transformations. It has been found that even with strong influence of the gravitational field, the stream function can be solved in the hodograph plane through numerical calculations. The velocity function of free streamlines must be determined through iterations and it has been also found that this iterative process is rapidly convergent. Favorable agreement of the results with the experimental data substantiates the fact that this method is effective in dealing with flow problems strongly influenced by gravitation. The idea of subdividing the hodograph and matching their boundary values along the cut can be extended to problems with more complicated configurations.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mechanical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Han, Taeyoung

• Engineering, Mechanical

Language dc:language

eng

Identifier

(UMI)AAI8017947

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/67022