Some matrix aspects of generalized dimensional analysis

DOI10.1007/BF01535189zbMath0246.76024MaRDI QIDQ2555796

M. J. Moran, K. M. Marshek

Publication date: 1972

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Other special methods applied to PDEs (35A25)

Related Items (6)

Group theoretic and similarity analysis of hyperbolic partial differential equations ⋮ Similarity representation of wave propagation in a nonlinear viscoelastic rod on a group theoretic basis ⋮ Numerical treatment of Powell-Eyring fluid flow using method of satisfaction of asymptotic boundary conditions (MSABC) ⋮ Systemic similitude ⋮ Group theoretic analysis and similarity solution for a nonlinear viscous rod subjected to time dependent velocity impact ⋮ Discontinuous solutions of nonlinear wave phenomena by similarity approach

Cites Work

• A new systematic formalism for similarity analysis
• Reduction of the Number of Variables in Systems of Partial Differential Equations, with Auxiliary Conditions
• Cylindrical shock and detonation waves in magnetogasdynamics
• Similarity for a real-gas flow via a new group formalism
• THE REDUCTION BY ONE OF THE NUMBER OF INDEPENDENT VARIABLES IN SOME SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS
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