Masters Theses


Chu Yih Wang


"This study investigates the continuum radiative flux from nonisothermal stagnation shock layers composed of atomic gases. The general equations for the composition are derived and the Rankine-Hugoniot equations are simplified and solved to give the thermodynamic conditions of the shock layers. To accurately model the stagnation shock layer, the plasma must be considered to be nonisothermal. In the current study, linear shock layer temperature profiles are assumed. Consequently, the fluid dynamics and the radiation are uncoupled. The radiation model assumes one-dimensional radiative energy transport and considers only continuum processes. The radiative flux is calculated by considereing ground to free state radiative transitions in hydrogen plasmas. The effect of Mach number, ambient density, special variation of the absorption coefficient, shock layer thickness, excited state and temperature profiles are examined. The principle of superposition extends the results to multiple electronic state atomic gases. The method is applied to helium, argon and xenon plasmas. The results show that the flux to the wall first increases then decreases as Mach number increases at constant ambient density. When ambient density is increased at a constant value of Tr, the flux increases continuously for r the isothermal case; while for the nonisotherrnal cases the flux first increases then decreases. This study emphasizes the effect of variable shock layer composition. The ground state population decreases as one moves away from the wall; while the excited state population increases. The ground state flux from the constant composition shock layer is smaller than the flux from variable composition shock layers at values of optical thickness less than unity and larger at values of optical thickness greater than unity; while the excited state flux from constant composition shock layer is larger than the flux from variable composition shock layers at values of excited state optical thickness less than unity and smaller at values of optical thickness greater than unity. The assumption of constant shock layer composition gives a good approximation of the shock layer flux near optical thicknesses of unity"--Abstract, pages ii-iii.


Nelson, Harlan F., 1938-2005

Committee Member(s)

Crosbie, A. L. (Alfred L.)
Baird, Thomas B.


Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering


University of Missouri--Rolla

Publication Date



xiv, 109 pages

Note about bibliography

Includes bibliographical references (page 42).


© 1970 Chu Yih Wang, All rights reserved.

Document Type

Thesis - Open Access

File Type




Subject Headings

Shock waves -- Mathematical models
Gases at high temperatures
Radiative transfer

Thesis Number

T 2507

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