Accession Number : AD0486712

Title :   THEORY FOR VISCOUS SHOCK ATTENUATION DUCTS BASED ON THE KINETIC THEORY OF GASES EXPERIMENTALLY VERIFIED TO A SHOCK STRENGTH OF 68.

Descriptive Note : Technical rept. Aug 64-Aug 65,

Corporate Author : NEW MEXICO UNIV ALBUQUERQUE ERIC H WANG CIVIL ENGINEERING RESEARCH FACILITY

Personal Author(s) : Clark, R. O.

Report Date : JUL 1966

Pagination or Media Count : 40

Abstract : An equation for the viscous attenuation of shock-front pressure in smooth-wall ducts is developed utilizing simple concepts from the kinetic theory of gases. This attenuation equation is presented in four forms to show its dependence on the dimensionless products, shock strength, dynamic pressure ratio, Reynolds number, and Mach number. The equation is used to obtain an expression for the shear stress imparted to a surface by the passage of a shock front. Tests performed with a high-pressure, combustion-driven shock tube to a shock strength of 68 show very good support for the attenuation equation and the kinetic-theory approach to its derivation. A rough-wall theory, previously developed by the author is substantiated at high-shock pressure and found to be consistent with the kinetic-theory approach to viscous attenuation. Some tests necessitated the use of peaked shock waves which, in addition to viscous attenuation, exhibit attenuation by wave expansion. Therefore, a wave-expansion theory, previously developed by the author, was used and is applicable in the high-shock-pressure as well as the low-shock-pressure range.

Descriptors :   (*SHOCK WAVES, ATTENUATION), (*GAS FLOW, KINETIC THEORY), (*VISCOSITY, SHOCK WAVES), DIFFERENTIAL EQUATIONS, SHEAR STRESSES, DUCTS, SHOCK TUBES, REYNOLDS NUMBER, VELOCITY, SURFACE PROPERTIES, PROPAGATION, ROUGHNESS, MOLECULES.

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE