
Accession Number : AD0614378
Title : ENDWALL HEATTRANSFER EFFECTS ON THE TRAJECTORY OF A REFLECTED SHOCK WAVE,
Corporate Author : CALIFORNIA INST OF TECH PASADENA GRADUATE AERONAUTICAL LABS
Personal Author(s) : Sturtevant,Bradford ; Slachmuylders,Erik
Report Date : 30 OCT 1963
Pagination or Media Count : 7
Abstract : The trajectory of a reflected shock wave has been measured near the end wall where the motion is perturbed by the displacement effect of heat transfer to the wall. In this experiment an x, t diagram of the reflection of an M = 4.08 shock wave was constructed by measuring shock arrival times with small probes. The parameter that measures the (negative) displacement thickness of the endwall thermal layer, a 'Reynolds number' R based on the shock velocity, the time after reflection, and the thermal diffusivity was varied between 9 and 600. In this range the measured deviation of the shock trajectory from ideal varied from 11/2 to 17 shock thicknesses. The shock velocity was determined by differentiating a leastsquares fit of the data to a fourthorder polynomial in 1/sq. rt. R. In the range of the experiments the shock accelerated from a velocity that was 20% below ideal to one that was within 4% of ideal. Experiment agrees with boundarylayer theory above R = 150 for the shock trajectory and above R = 25 for the shock velocity, and implies that the exponent of the powerlaw dependence of the thermal conductivity on temperature is 0.81 = 0.02. The small deviation of the shock velocity from boundarylayer theory predicted for R < 100 by higherorder theory is not observed, though since this theory falls just within the estimated experimental error this result is somewhat qualified. In any case, the unexpected agreement with firstorder theory at small R indicates that molecular effects, such as temperature jump, do not play a large role when the shock is more than ten shock thicknesses from the end wall. (Author)
Descriptors : (*SHOCK WAVES, TRAJECTORIES), (*REFLECTION, SHOCK WAVES), (*HEAT TRANSFER, SHOCK WAVES), THERMAL DIFFUSION, BOUNDARY LAYER, REYNOLDS NUMBER, LEAST SQUARES METHOD, PERTURBATION THEORY, NONEQUILIBRIUM FLOW, THERMAL CONDUCTIVITY
Distribution Statement : APPROVED FOR PUBLIC RELEASE