Surface Temperature and Heat Transfer Conditions in the Ablation of Shear Thinning and Shear Thickening Liquids

[+] Author and Article Information
B. Steverding

Physical Sciences Laboratory, Directorate of Research and Development, Army Missile Command, Redstone Arsenal, Ala.

J. Heat Transfer 91(1), 105-110 (Feb 01, 1969) (6 pages) doi:10.1115/1.3580064 History: Received June 20, 1966; Revised July 10, 1967; Online August 25, 2011


The heat and mass transfer conditions for the ablation of Newtonian liquids have been described in a number of excellent articles. However, little attention has been paid to the behavior of non-Newtonian liquids for which the viscosity is not only a function of temperature but also of shear rate. This is astonishing since many excellent ablators behave in a non-Newtonian manner, especially when they contain foreign particles such as gas bubbles. The purpose of this paper is to study changes in heat and mass transfer if the ablator has a shear rate dependent viscosity. As a result of this study it will be shown that deviations from normal Newtonian behavior increase with increasing shear stress and decreasing bluntness of the cone. Surface temperatures are calculated as a function of Mach number, degree of non-Newtonian viscosity parameter, nose radius, and altitude. Numerical results are given for a model substance with the physical characteristics of Pyrex glass but with a hypothetically varying degree of non-Newtonian viscosity behavior.

Copyright © 1969 by ASME
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