# 11.6 Qualitative 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 1.05 1.1 1.15 1.2 1.25 1.3 1.35 1.4 1.45 1.5 1.55 1.6 1.65 1.7 1.75 1.8 1.85 1.9 1.95 2 2.05 2.1 2.15 2.2 2.25 2.3 2.35 2.4 2.45 2.5 2.75 3 3.25 3.5 3.75 4 4.25 4.5 4.75 5 5.25 5.5 5.75 6 6.25 6.5 6.75 7 7.25 7.5 7.75 8 8.25 8.5 8.75 9 9.25 9.5 9.75 10 $$M_y$$ 1 0.95313 0.91177 0.87502 0.84217 0.81264 0.78596 0.76175 0.73971 0.71956 0.70109 0.6841 0.66844 0.65396 0.64054 0.62809 0.6165 0.6057 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 0.3898 0.38918 0.3886 0.38807 0.38758 $$\dfrac{T_y}{T_x}$$ 1 1.03284 1.06494 1.09658 1.12799 1.15938 1.19087 1.22261 1.25469 1.2872 1.32022 1.35379 1.38797 1.4228 1.45833 1.49458 1.53158 1.56935 1.60792 1.64729 1.6875 1.72855 1.77045 1.81322 1.85686 1.90138 1.9468 1.99311 2.04033 2.08846 2.1375 2.39657 2.67901 2.98511 3.31505 3.66894 4.04688 4.44891 4.87509 5.32544 5.8 6.29878 6.8218 7.36906 7.94059 8.53637 9.15643 9.80077 10.4694 11.1623 11.8795 12.621 13.3867 14.1768 14.9911 15.8298 16.6927 17.58 18.4915 19.4274 20.3875 $$\dfrac{\rho_y}{\rho_x}$$ 1 1.08398 1.16908 1.25504 1.34161 1.42857 1.5157 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 2.8119 2.88231 2.95122 3.01863 3.08455 3.14897 3.2119 3.27335 3.33333 3.61194 3.85714 4.07229 4.26087 4.42623 4.57143 4.69919 4.81188 4.91156 5 5.07869 5.14894 5.21182 5.26829 5.31915 5.36508 5.40667 5.44444 5.47883 5.5102 5.5389 5.56522 5.58939 5.61165 5.63218 5.65116 5.66874 5.68504 5.70019 5.71429 $$\dfrac{T_y}{T_x}$$ 1 1.11958 1.245 1.37625 1.51333 1.65625 1.805 1.95958 2.12 2.28625 2.45833 2.63625 2.82 3.00958 3.205 3.40625 3.61333 3.82625 4.045 4.26958 4.5 4.73625 4.97833 5.22625 5.48 5.73958 6.005 6.27625 6.55333 6.83625 7.125 8.65625 10.3333 12.1562 14.125 16.2396 18.5 20.9062 23.4583 26.1562 29 31.9896 35.125 38.4062 41.8333 45.4062 49.125 52.9896 57 61.1562 65.4583 69.9062 74.5 79.2396 84.125 89.1562 94.3333 99.6562 105.125 110.74 116.5 $$\dfrac{\rho_y}{\rho_x}$$ 1 0.99985 0.99893 0.99669 0.9928 0.98706 0.97937 0.96974 0.95819 0.94484 0.92979 0.91319 0.8952 0.87599 0.85572 0.83457 0.81268 0.79023 0.76736 0.7442 0.72087 0.69751 0.6742 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 0.0917 0.07505 0.06172 0.051 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.