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Three-dimensional potential flows from functions of a 3D complex variablePotential, or ideal, flow velocities can be found from the gradient of an harmonic function. An ordinary complex valued analytic function can be written as the sum of two real valued functions, both of which are harmonic. Thus, 2D complex valued functions serve as a source of functions that describe two-dimensional potential flows. However, this use of complex variables has been limited to two-dimensions. Recently, a new system of three-dimensional complex variables has been developed at the NASA Ames Research Center. As a step toward application of this theory to the analysis of 3D potential flow, several functions of a three-dimensional complex variable have been investigated. The results for two such functions, the 3D exponential and 3D logarithm, are presented in this paper. Potential flows found from these functions are investigated. Important characteristics of these flows fields are noted.
Document ID
19910060532
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Kelly, Patrick
(Texas Univ. Austin, TX, United States)
Panton, Ronald L.
(Texas, University Austin, United States)
Martin, E. D.
(NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 14, 2013
Publication Date
October 1, 1990
Publication Information
Publication: Fluid Dynamics Research
Volume: 6
ISSN: 0169-5983
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
91A45155
Funding Number(s)
CONTRACT_GRANT: NCA2-179
Distribution Limits
Public
Copyright
Other

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