Results of a calculation of gas-particle flow in axisymmetric nozzles by the method of characteristics and comparison with results of the one-dimensional approximation

1971 ◽  
Vol 3 (3) ◽  
pp. 85-87 ◽  
Author(s):  
L. P. Vereshchaka ◽  
N. S. Galyun ◽  
A. N. Kraiko ◽  
L. E. Sternin
Keyword(s):  
Method Of Characteristics ◽  
Particle Flow ◽  
One Dimensional ◽  
The Method Of Characteristics ◽  
Dimensional Approximation ◽  
The One

scholarly journals Study of Unsteady Flow in a Heat Exchanger by the Method of Characteristics

1992 ◽  
Vol 114 (4) ◽  
pp. 459-463 ◽  
Author(s):  
Yuan Mao Huang
Keyword(s):  
Heat Exchanger ◽  
Unsteady Flow ◽  
Transfer Rate ◽  
Method Of Characteristics ◽  
Governing Equations ◽  
One Dimensional ◽  
The Method Of Characteristics ◽  
Improvement Factor ◽  
The One ◽  
Good Agreement

The one-dimensional, unsteady flow in an air-to-air heat exchanger is studied. The governing equations are derived and the method of characteristics with the uniform interval scheme is used in the analysis. The effect of the fin improvement factor on the air temperature in the heat exchanger and the heat transfer rate of the heat exchanger, and air properties in the heat exchanger are analyzed. The numerical results are compared and show good agreement with the available data.

scholarly journals Solutions of problems for the wave equation with conditions on the characteristics

2021 ◽  
Vol 57 (2) ◽  
pp. 148-155
Author(s):  
V. I. Korzyuk ◽  
O. A. Kovnatskaya
Keyword(s):  
Wave Equation ◽  
Analytical Solution ◽  
Classical Solution ◽  
Method Of Characteristics ◽  
Matching Conditions ◽  
One Dimensional ◽  
The Method Of Characteristics ◽  
The One ◽  
The Given ◽  
Dimensional Wave

In this paper we obtain a classical solution of the one-dimensional wave equation with conditions on the characteristics for different areas this problem is considered in. The analytical solution is constructed by the method of characteristics. In addition, the uniqueness of the obtained solution is proved. The necessity and sufficiency of the matching conditions for given functions of the problem are proved. When these conditions are satisfied and the given functions are smooth enough, the classical solution of the considered problem exists.

Liquid Rocket Engine Feed System Dynamics by the Method of Characteristics

1968 ◽  
Vol 90 (4) ◽  
pp. 561-568 ◽  
Author(s):  
J. C. Eschweiler ◽  
H. W. Wallace
Keyword(s):  
Attitude Control ◽  
Method Of Characteristics ◽  
Rocket Engine ◽  
Feed System ◽  
New Approach ◽  
One Dimensional ◽  
The Method Of Characteristics ◽  
Liquid Rocket ◽  
The One ◽  
State Relations

A new approach was developed to predict pressure and flow transients in rocket engine feed systems. The one-dimensional equations of momentum and continuity were reduced by the method of characteristics from partial derivatives to a set of total derivatives describing state properties along specified paths. System components, e.g., valves and tanks, are represented by pseudo-steady state relations at discrete junctions in the system. Experiments were run on a typical attitude control feed system employing monomethylhydrazine (MMH) and nitrogen telroxide (NTO) as the propellant combination. The essential aspects of the analytical model mere verified by the excellent correlation achieved between the predicted and observed transjents.

A Stefan problem in a Bridgman crystal grower

1995 ◽  
Vol 6 (3) ◽  
pp. 191-199
Author(s):  
P. den Decker ◽  
R. van der Hout ◽  
C. J. Van Duijn ◽  
L. A. Peletier
Keyword(s):  
Critical Speed ◽  
Internal Heat ◽  
Mushy Region ◽  
Dimensional Model ◽  
Real Situation ◽  
One Dimensional ◽  
Dimensional Approximation ◽  
The One ◽  
Strong Curvature ◽  
Bridgman Crystal Grower

We discuss a one-dimensional model for a Bridgman crystal grower, where the removal of heat is described by an internal heat sink. A consequence is the apparent existence of mushy regions for relatively large velocities of the cooling machine; these mushy regions are an artefact of the one-dimensional approximation. We show that for some types of cooling profiles there exists a critical speed for the existence of mushy regions, whereas for different cooling profiles no such critical speed exists. The presence of a mushy region may indicate a strong curvature of the liquid/solid interface in the real situation.

scholarly journals Сlassical solution of the mixed problem for the one-dimensional wave equation with the nonsmooth second initial condition

2020 ◽  
Vol 64 (6) ◽  
pp. 657-662
Author(s):  
V. I. Korzyuk ◽  
J. V. Rudzko
Keyword(s):  
Boundary Condition ◽  
Wave Equation ◽  
Mixed Problem ◽  
Method Of Characteristics ◽  
Smooth Boundary ◽  
Analytical Form ◽  
Initial Condition ◽  
One Dimensional ◽  
The One ◽  
Dimensional Wave

In this article, we study the classical solution of the mixed problem in a quarter of a plane and a half-plane for a one-dimensional wave equation. On the bottom of the boundary, Cauchy conditions are specified, and the second of them has a discontinuity of the first kind at one point. Smooth boundary condition is set at the side boundary. The solution is built using the method of characteristics in an explicit analytical form. Uniqueness is proved and conditions are established under which a piecewise-smooth solution exists. The problem with linking conditions is considered.

Kinetic calculation of a turbulent flame in the one-dimensional approximation

1980 ◽  
Vol 16 (4) ◽  
pp. 365-369
Author(s):  
V. Ya. Basevich ◽  
V. P. Volodin ◽  
S. M. Kogarko ◽  
N. I. Peregudov
Keyword(s):  
Turbulent Flame ◽  
Kinetic Calculation ◽  
One Dimensional ◽  
Dimensional Approximation ◽  
The One

Nonsteady Aerodynamics of the Comprex Supercharger

1958 ◽  
Author(s):  
Hans U. Burri
Keyword(s):  
Method Of Characteristics ◽  
Engine Performance ◽  
Engine Test ◽  
Nonsteady Flow ◽  
Test Results ◽  
One Dimensional ◽  
Acceptable Accuracy ◽  
The Method Of Characteristics ◽  
Performance Point

A brief outline is given of the method of characteristics for the analysis of one-dimensional nonsteady flow. Two typical types of experiments are discussed which indicate the degree of accuracy possible if this method is applied to machinery like the Comprex supercharger. As an example, a typical analysis is presented for one particular engine-performance point. It is possible to duplicate engine test results with acceptable accuracy.

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