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Stability Theory for Cross Hatching. Part I. Linear Stability Theory

Lees, Lester and Kubota, Toshi and Ko, Denny R. S. (1972) Stability Theory for Cross Hatching. Part I. Linear Stability Theory. Space and Missile Systems Organization (SAMSO), 72-34. California Institute of Technology , Pasadena, CA. (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20190115-160036728

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Abstract

A linear instability theory was developed which couples small perturbations in surface shape of a subliming surface and resulting perturbations in aerodynamic heat-transfer rates. Equations governing compressible turbulent boundary layers were linearized for small perturbations whose streamwise scale lengths are comparable with the undisturbed boundary layer thickness. For turbulent shear stress, the mixing-length approximation was employed, and the turbulent Prandtl number was assumed to be unity for turbulent heat flux. Heat conduction within the ablating solid was analyzed by linearizing the boundary condition for small amplitude. Sample computations were made for a teflon surface ablating under turbulent boundary layer at Mach 2. 6, and the results indicate that the small surface perturbations are unstable within certain regions in the wave number - wave angle space.


Item Type:Report or Paper (Technical Report)
Alternate Title:Stability Theory for Cross Hatching, Part 1. Linear Stability Theory, Linear Stability Theory
Additional Information:Technical Report SAMSO TR 72-34, Vol. I. This report was prepared by the California Institute of Technology, Pasadena, California under USAF Contract F04701-68-C-0151, Project "Research on Fluid Mechanics of Striation Ablation." The work was administered under the direction of the Space and Missile Systems Organization, Air Force Systems Command. This report covers work performed between 1 September 1968 to 15 August 1971. Professors Lester Lees and Toshi Kubota were the Co-Principal Investigators, Dr. Denny R-S Ko was a Post-Doctoral Research Fellow and Mr. Asher Sigal was a Graduate Research Assistant. The manuscript of this report was released by the authors in January 1972. This technical report has been reviewed and is approved.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Air Force Systems CommandF04701-68-C-0151
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Other Numbering System NameOther Numbering System ID
SAMSO TR72-34, Vol. I
Record Number:CaltechAUTHORS:20190115-160036728
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190115-160036728
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92301
Collection:CaltechAUTHORS
Deposited By: Melissa Ray
Deposited On:16 Jan 2019 01:17
Last Modified:18 Jan 2019 01:54

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