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Conservative calculations of non‐isentropic transonic flows
Author(s) -
Hafez M. M.,
Habashi W. G.,
Kotiuga P. L.
Publication year - 1985
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650051204
Subject(s) - inviscid flow , transonic , conservative vector field , euler equations , airfoil , isentropic process , mathematics , momentum (technical analysis) , subsonic and transonic wind tunnel , mechanics , flow (mathematics) , classical mechanics , physics , mathematical analysis , compressibility , aerodynamics , finance , economics
Abstract The classical potential formulation of inviscid transonic flows is modified to account for non‐isentropic effects. The density is determined in terms of the speed as well as the pressure, which in turn is calculated from a second‐order mixed‐type equation derived via differentiating the momentum equations. The present model differs in general from the exact inviscid Euler equations since the flow is assumed irrotational. On the other hand, since the shocks are not isentropic, they are weaker and are placed further upstream compared to the classical potential solution. Furthermore, the streamline leaving the aerofoil does not necessarily bisect the trailing edge. Results for the present conservative calculations are presented for non‐lifting and lifting aerofoils at subsonic and transonic speeds and compared to potential and Euler solutions.