Applications of Hodograph Transformation to Hydrodynamic Problems Influenced by Gravitation
Han, Taeyoung
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https://hdl.handle.net/2142/67022
Description
Title
Applications of Hodograph Transformation to Hydrodynamic Problems Influenced by Gravitation
Author(s)
Han, Taeyoung
Issue Date
1980
Department of Study
Mechanical Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Mechanical
Language
eng
Abstract
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.
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