ANALYSIS OF QUADRIPOLE METHODS FOR THE VELOCITY OF SOUND. (2005)
Gaggioli ,R. A., Romer,I. C. , Jr., El-Hakeen,A. S.
A general analysis is presented of the systematic errors in phase detection and amplitude detection methods for establishing the velocity of sound propagated through gases in tubes. (Author)
THERMOCOUPLE CORRECTIONS FROM IRREVERSIBILITY THEORY. (1998)
Gaggioli,R. A., Mitchell,J. W.
The resultant error introduced by using finite impedance measuring instruments in thermocouple circuits was determined quantitatively and rigorously. The standard-practice correction formula to...
A systematic formalism is presented for reducing the number of independent variables in some systems of partial differential equations with boundary and initial conditions. The procedure is a further...
SIMILARITY ANALYSES OF COMPRESSIBLE BOUNDARY LAYER FLOWS VIA GROUP THEORY. (1998)
Based upon methods developed by Michal, Morgan, Birkhoff, and the present authors, the utility of mathematical groups of transformations for the purpose of achieving a reduction in the number of...
Moran,M. J., Gaggioli,R. A., Scholten,W. B.
A new systematic formalism is presented for similarity analysis -- i.e., for reducing the number of independent variables in systems consisting of partial differential equations and a set of...
SIMILARITY FOR A REAL GAS BOUNDARY LAYER FLOW. (1998)
New results for a real gas compressible boundary layer flow are obtained, by applying recent group theory techniques for reducing the number of independent variables. In particular, the results are...
ON THE REDUCTION OF DIFFERENTIAL EQUATIONS TO ALGEBRAIC EQUATIONS. (1998)
Techniques based upon elementary group theory for the reduction of a given system of partial differential equations to a system of differential equations in fewer independent variables are extended...
A GENERALIZATION OF DIMENSIONAL ANALYSIS. (1998)
Recent group theory techniques for the purpose of reducing the number of independent variables in systems of partial differential equations subject to boundary and/or initial conditions are applied...