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Engineering LibreTexts

11.6 Qualitative questions

Additional Questions

1. In the analysis of the maximum temperature in the shock tube, it was assumed that process is isentropic. If this assumption is not correct would the maximum temperature obtained is increased or decreased?

2. In the analysis of the maximum temperature in the shock wave it was assumed that process is isentropic. Clearly, this assumption is violated when there are shock waves. In that cases, what is the reasoning behind use this assumption any why?

Tables of Normal Shocks, \(k=1.4\) Ideal Gas

\(M_x\) 1.00 1.05 1.10 1.15 1.20 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60 1.65 1.70 1.75 1.80 1.85 1.90 1.95 2.00 2.05 2.10 2.15 2.20 2.25 2.30 2.35 2.40 2.45 2.50 2.75 3.00 3.25 3.50 3.75 4.00 4.25 4.50 4.75 5.00 5.25 5.50 5.75 6.00 6.25 6.50 6.75 7.00 7.25 7.50 7.75 8.00 8.25 8.50 8.75 9.00 9.25 9.50 9.75 10.00
\(M_y\) 1.00000 0.95313 0.91177 0.87502 0.84217 0.81264 0.78596 0.76175 0.73971 0.71956 0.70109 0.68410 0.66844 0.65396 0.64054 0.62809 0.61650 0.60570 0.59562 0.58618 0.57735 0.56906 0.56128 0.55395 0.54706 0.54055 0.53441 0.52861 0.52312 0.51792 0.51299 0.49181 0.47519 0.46192 0.45115 0.44231 0.43496 0.42878 0.42355 0.41908 0.41523 0.41189 0.40897 0.40642 0.40416 0.40216 0.40038 0.39879 0.39736 0.39607 0.39491 0.39385 0.39289 0.39201 0.39121 0.39048 0.38980 0.38918 0.38860 0.38807 0.38758
\(\dfrac{T_y}{T_x}\) 1.00000 1.03284 1.06494 1.09658 1.12799 1.15938 1.19087 1.22261 1.25469 1.28720 1.32022 1.35379 1.38797 1.42280 1.45833 1.49458 1.53158 1.56935 1.60792 1.64729 1.68750 1.72855 1.77045 1.81322 1.85686 1.90138 1.94680 1.99311 2.04033 2.08846 2.13750 2.39657 2.67901 2.98511 3.31505 3.66894 4.04688 4.44891 4.87509 5.32544 5.80000 6.29878 6.82180 7.36906 7.94059 8.53637 9.15643 9.80077 10.46939 11.16229 11.87948 12.62095 13.38672 14.17678 14.99113 15.82978 16.69273 17.57997 18.49152 19.42736 20.38750
\(\dfrac{\rho_y}{\rho_x}\) 1.00000 1.08398 1.16908 1.25504 1.34161 1.42857 1.51570 1.60278 1.68966 1.77614 1.86207 1.94732 2.03175 2.11525 2.19772 2.27907 2.35922 2.43811 2.51568 2.59188 2.66667 2.74002 2.81190 2.88231 2.95122 3.01863 3.08455 3.14897 3.21190 3.27335 3.33333 3.61194 3.85714 4.07229 4.26087 4.42623 4.57143 4.69919 4.81188 4.91156 5.00000 5.07869 5.14894 5.21182 5.26829 5.31915 5.36508 5.40667 5.44444 5.47883 5.51020 5.53890 5.56522 5.58939 5.61165 5.63218 5.65116 5.66874 5.68504 5.70019 5.71429
\(\dfrac{T_y}{T_x}\) 1.00000 1.11958 1.24500 1.37625 1.51333 1.65625 1.80500 1.95958 2.12000 2.28625 2.45833 2.63625 2.82000 3.00958 3.20500 3.40625 3.61333 3.82625 4.04500 4.26958 4.50000 4.73625 4.97833 5.22625 5.48000 5.73958 6.00500 6.27625 6.55333 6.83625 7.12500 8.65625 10.33333 12.15625 14.12500 16.23958 18.50000 20.90625 23.45833 26.15625 29.00000 31.98958 35.12500 38.40625 41.83333 45.40625 49.12500 52.98958 57.00000 61.15625 65.45833 69.90625 74.50000 79.23958 84.12500 89.15625 94.33333 99.65625 105.12500 110.73958 116.50000
\(\dfrac{\rho_y}{\rho_x}\) 1.00000 0.99985 0.99893 0.99669 0.99280 0.98706 0.97937 0.96974 0.95819 0.94484 0.92979 0.91319 0.89520 0.87599 0.85572 0.83457 0.81268 0.79023 0.76736 0.74420 0.72087 0.69751 0.67420 0.65105 0.62814 0.60553 0.58329 0.56148 0.54014 0.51931 0.49901 0.40623 0.32834 0.26451 0.21295 0.17166 0.13876 0.11256 0.09170 0.07505 0.06172 0.05100 0.04236 0.03536 0.02965 0.02498 0.02115 0.01798 0.01535 0.01316 0.01133 0.00979 0.00849 0.00739 0.00645 0.00565 0.00496 0.00437 0.00387 0.00343 0.00304

Contributors

  • Dr. Genick Bar-Meir. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or later or Potto license.