Extension of the method of characteristics for simulation of solute transport in three dimensions

1994 ◽  
Vol 31 (1) ◽  
pp. A4
Keyword(s):  
Solute Transport ◽  
Method Of Characteristics ◽  
Three Dimensions ◽  
The Method Of Characteristics

Non-symmetric flow in Laval type nozzles

1972 ◽  
Vol 273 (1232) ◽  
pp. 185-235 ◽  
Keyword(s):  
Steady State ◽  
Combustion Chamber ◽  
Method Of Characteristics ◽  
Three Dimensions ◽  
Symmetric Flow ◽  
Gaseous Flow ◽  
The Method Of Characteristics ◽  
Lateral Forces

The equations of the steady state, compressible inviscid gaseous flow are linearized in a form suitable for application to nozzles of the Laval type. The procedure in the supersonic phase is verified by comparing solutions so obtained with those derived by the method of characteristics in two and three dimensions. Likewise, the solutions in the transonic phase are com pared with those obtained by other investigators. The linearized equation is then used to investigate the nat re of non-symmetric flow in rocket nozzles. It is found that if the flow from the combustion chamber into the nozzle is non-symmetric, the magnitude and direction of the turning couple produced by the emergent jet is dependent on the profile of the nozzle and it is possible to design profiles such that the turning couples or lateral forces are zero. The optimum nozzle so designed is independent of the pressure and also of the magnitude of the non-symmetry of the entry flow. The formulae by which they are obtained have been checked by extensive static and projection tests with simulated rocket test vehicles which are described in this paper.

A theoretical treatment of the effects of Ionic and non-ionic competitive adsorption during solute transport in soils

Soil Research ◽  
1984 ◽  
Vol 22 (1) ◽  
pp. 31 ◽  
Author(s):  
CJ Barnes ◽  
LAG Aylmore
Keyword(s):  
Solute Transport ◽  
Detailed Analysis ◽  
Adsorption Isotherms ◽  
Method Of Characteristics ◽  
Competitive Adsorption ◽  
Theoretical Treatment ◽  
The Method Of Characteristics ◽  
Solute Movement ◽  
Ionic Solutes ◽  
Water Contents

The method of characteristics is used to analyse multi-species solute movement through a non-linearly reactive soil taking dispersion into account. Both ionic and non-ionic solutes are considered, and it is shown that the shape of a solute front depends on the shape of the adsorption isotherms. At large times, overall solute movement is effected by a series of solute fronts moving independently. The composition of each front, and hence individual solute concentrations within the front, are determined by the degree of competition reflected in the adsorption isotherms. Varying water contents are considered explicitly, although the detailed analysis is restricted to uniform water contents for simplicity.

The method of characteristics for steady supersonic rotational flow in three dimensions

1956 ◽  
Vol 1 (4) ◽  
pp. 409-423 ◽  
Author(s):  
Maurice Holt
Keyword(s):  
Supersonic Flow ◽  
Method Of Characteristics ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Rotational Flow ◽  
Conical Flow ◽  
Plane Flow ◽  
Flow Problems ◽  
The Method Of Characteristics

The method of characteristics for steady supersonic flow problems in three dimensions, due to Coburn & Dolph (1949), is extended so that flow with shocks and entropy changes may be treated. Equations of motion based on Coburn & Dolph's characteristic coordinate system are derived and a scheme is described for solving these by finite differences.A linearized method of characteristics is developed for calculating perturbations of a given three-dimensional field of flow. This is a generalization of the method evolved by Ferri (1952) for perturbations of plane flow and conical flow.

Theory of solute transport in soils from the method of characteristics

1983 ◽  
Vol 4 (4) ◽  
pp. 277-287 ◽  
Author(s):  
D. A. Barry ◽  
J. -Y. Parlange ◽  
P. G. Saffigna ◽  
C. W. Rose
Keyword(s):  
Solute Transport ◽  
Method Of Characteristics ◽  
The Method Of Characteristics

Boundary Layer Closure and Heat Transfer in Constant Base Pressure and Simple Wave Guns

1978 ◽  
Vol 100 (4) ◽  
pp. 690-696 ◽  
Author(s):  
A. D. Anderson ◽  
T. J. Dahm
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Layer Thickness ◽  
Boundary Layer Thickness ◽  
Method Of Characteristics ◽  
Simple Wave ◽  
Momentum Equation ◽  
Base Pressure ◽  
Two Dimensional ◽  
The Method Of Characteristics

Solutions of the two-dimensional, unsteady integral momentum equation are obtained via the method of characteristics for two limiting modes of light gas launcher operation, the “constant base pressure gun” and the “simple wave gun”. Example predictions of boundary layer thickness and heat transfer are presented for a particular 1 in. hydrogen gun operated in each of these modes. Results for the constant base pressure gun are also presented in an approximate, more general form.

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