Accession Number : AD0289501

Title :   TAYLOR EXPANSIONS OF THE HYDRODYNAMIC EQUATIONS. PART I

Corporate Author : BRIGHAM YOUNG UNIV PROVO UTAH

Personal Author(s) : MCDONALD,KEITH L.

Report Date : NOV 1960

Pagination or Media Count : 1

Abstract : The Taylor expansions of the two important differential equations of fluid dynamics, namely, the classical momentum equation and the equation of continuity are treated. Two different methods of investigation are employed. In the first, the relationship between the pressure, mass density, and fluid velocity, each represented by their Taylor expansions, are obtained by equating to zero the coefficients of like terms in the rectangular coordinates in these equations. In the second method, only the velocity is expanded, in vector modes, and the pressure and density are resolved subject to standard auxiliary relationships. This procedure enables one to view the iso-pressure surfaces in the neighborhoods of singular points for various types of asymptotic velocity fields. (Author)

Descriptors :   *CONTINUUM MECHANICS, *DIFFERENTIAL EQUATIONS, *FLUID MECHANICS, *HYDRODYNAMICS, *TAYLOR'S SERIES

Distribution Statement : APPROVED FOR PUBLIC RELEASE