On Darboux solutions of the Euler's equation

1989 ◽  
Vol 37 (2-3) ◽  
pp. 279-281
Author(s):  
J. Smítal
Keyword(s):  
Euler’S Equation ◽  
Euler's Equation

Imaging magnetic sources using Euler's equation

2002 ◽  
Vol 50 (1) ◽  
pp. 15-25 ◽  
Author(s):  
Shu-Kun Hsu
Keyword(s):  
Euler’S Equation ◽  
Euler's Equation

Euler's Equation and (p, r) Coordinates

1954 ◽  
Vol 38 (325) ◽  
pp. 172
Author(s):  
K. E. Bullen
Keyword(s):  
Euler’S Equation ◽  
Euler's Equation

An overview of methods for calculating the head of a rotodynamic impeller and their practical significance

2003 ◽  
Vol 217 (3) ◽  
pp. 221-232 ◽  
Author(s):  
S Yedidiah
Keyword(s):  
Subject Matter ◽  
Practical Significance ◽  
Euler’S Equation ◽  
Euler's Equation ◽  
The Subject

This paper explains why Euler's equation and the airfoil theory, while analytically correct, sometimes produce disappointing results. It also emphasizes the merits of a recently developed approach and demonstrates its usefulness in solving problems encountered in practice. The subject matter relates, directly, only to rotodynamic pumps. However, with proper modifications, it can be easily expanded to other fluids machines.

A Correlation between Aerofoil Theory and Euler's Equation for Calculating the Head of a Constant-Pitch Axial-Flow Inducer

1987 ◽  
Vol 201 (5) ◽  
pp. 357-363 ◽  
Author(s):  
S Yedidiah
Keyword(s):  
Axial Flow ◽  
Impeller Blade ◽  
Euler’S Equation ◽  
Constant Pitch ◽  
Euler's Equation

This study indicates that the aerofoil theory of an impeller blade is not interchangeable with Euler's equation. Instead, these two approaches are supplementary to each other. The conclusion is well supported by observations from practice.

Editorial-The Proof of Euler's Equation

1948 ◽  
Vol 55 (2) ◽  
pp. 94 ◽  
Author(s):  
C. B. Allendoerfer
Keyword(s):  
Euler’S Equation ◽  
Euler's Equation

Solitons, Euler’s equation, and vortex patch dynamics

1992 ◽  
Vol 69 (4) ◽  
pp. 555-558 ◽  
Author(s):  
Raymond E. Goldstein ◽  
Dean M. Petrich
Keyword(s):  
Patch Dynamics ◽  
Vortex Patch ◽  
Euler’S Equation ◽  
Euler's Equation

Towards a Fundamental Structure of Continuum Mechanics

1993 ◽  
Vol 48 (8-9) ◽  
pp. 883-894
Author(s):  
Bernward Stuke
Keyword(s):  
Continuum Mechanics ◽  
Mechanical Energy ◽  
General Structure ◽  
Fundamental Equation ◽  
Equation Of Motion ◽  
Formal Structure ◽  
Duhem Equation ◽  
Euler’S Equation ◽  
Euler's Equation ◽  
The Continuum

Abstract For a class of systems obeying Euler's equation of motion the existence of a quantity to be named "proper mechanical energy" (PME) is shown which, together with internal energy, results in a quantity to be named "proper energy" (PE), which is conserved under conditions of time-dependent potentials. The appertaining formal structure for the continuum mechanics of such systems is the counterpart to Gibbs' fundamental equation of thermodynamics and the relations deriving therefrom. Euler's equation of motion, in particular, corresponds to the Gibbs-Duhem equation of thermodynamics. The transport properties of PME and PE are different from those of the corresponding conventional energies. The results point to a general structure of this kind for continuum mechanics.

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