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A Constructive Analytical Approach to the Calculation of Flows Representing the Steady Motion of a Viscous Incompressible Liquid
Author(s) -
Ranger K. B.
Publication year - 1996
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1996963289
Subject(s) - constructive , compressibility , viscous liquid , motion (physics) , mathematics , partial differential equation , navier–stokes equations , mathematical analysis , equations of motion , fluid motion , classical mechanics , mechanics , physics , computer science , process (computing) , operating system
A constructive analytical technique is described for the calculation of the fluid velocity components satisfying the Navier‐Stokes equations representing the steady motion of a viscous, incompressible liquid. These components are found in terms of the derivatives of two functions which in turn satisfy linear partial differential equations for which known solutions of general type are readily available.