scholarly journals Modification for the Chisnell’s Method of Approximate Analytic Solution of the Converging Shock Wave Problem

2011 ◽  
Vol 11 (2) ◽  
pp. 78-83
Author(s):  
V.S. Kozhanov ◽  
◽  
I.A. Chernov ◽  
Keyword(s):  
Shock Wave ◽  
Analytic Solution ◽  
Approximate Analytic Solution ◽  
Wave Problem ◽  
Converging Shock Wave

Flow about Cones at Very High Speeds

1957 ◽  
Vol 8 (4) ◽  
pp. 384-394 ◽  
Author(s):  
H. K. Zienkiewicz
Keyword(s):  
Shock Wave ◽  
High Speed ◽  
Analytic Solution ◽  
Vibrational Excitation ◽  
Circular Cone ◽  
Approximate Analytic Solution ◽  
High Speed Flow ◽  
High Speeds ◽  
Speed Flow ◽  
Very High

Summary:Effects of vibrational excitation and dissociation of air on inviscid high speed flow past a circular cone, at zero incidence, with an attached shock wave, are studied on the assumption of thermal equilibrium. A numerical solution of the problem is outlined and an approximate analytic solution for the flow between the surface of the cone and the shock wave is developed. Two numerical examples are given as an illustration and compared with the corresponding solutions assuming constant air properties.

scholarly journals An approximate analytic solution of a particular boundary value problem

2001 ◽  
Vol 27 (8) ◽  
pp. 513-520
Author(s):  
Ugur Tanriver ◽  
Aravinda Kar
Keyword(s):  
Boundary Value Problem ◽  
Heat Conduction Equation ◽  
Analytic Solution ◽  
Boundary Value ◽  
Three Dimensional ◽  
Welding Process ◽  
Approximate Analytic Solution ◽  
Analytic Expression ◽  
Steady State Heat ◽  
Laser Welding Process

This note is concerned with the three-dimensional quasi-steady-state heat conduction equation subject to certain boundary conditions in the wholex′y′-plane and finite inz′-direction. This type of boundary value problem arises in laser welding process. The solution to this problem can be represented by an integral using Fourier analysis. This integral is approximated to obtain a simple analytic expression for the temperature distribution.

scholarly journals A converging shock wave for ignition of a pre-compressed target of laser thermonuclear fusion

2017 ◽  
pp. 1-20 ◽  
Author(s):  
Sergey Yurievich Guskov ◽  
Nikolay Vasilievich Zmitrenko ◽  
Orkhan Rahim oglu Rahimly
Keyword(s):  
Shock Wave ◽  
Thermonuclear Fusion ◽  
Laser Thermonuclear Fusion ◽  
Converging Shock Wave
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