Letter to Jesse Wmdumond On Momentum And Energy Balance in the Wave Produced B
Letter to Jesse Wmdumond On Momentum And Energy Balance in the Wave Produced B
Kurt Otto Friedrichs
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?> ^j X J3 \^z ^^ To formulate the laws of conservation of ma^'S, laoraentum, and energy it is most convenient to consider a cylindrical "teat box" aa indicutoa in the diagram. The aurfaoe of tl» box, the "teat sux^face**, consists of the lateral sections Q^p S^^, Sg, and the crosB-aectiona c^, Q^, and i^r* the aub- soript corroeponding with the labels of the regions in which AKO-MYU No. 71 -4. th*8« flections lie* The oross-fleotlon ^ is auppoi^od to lie 80 far behind the second shock front th...at the velocity tbore can be a^smued to be 2oro atid the prassure to be equal to Pjj. ^ Qq, irij^, ^, p2 = p^, ^Og, ne denote pressure and density in I'egion (o) and on surface Q.^ i^apectlvely. Velocity vectors ct various points of ths teat surface are indicated. In view of the rotational ayrametry, surface integrals are reduced to simple Integrals. TJie law of conservation of mass ean then be given the form To interpret this relation «e may argue that tJie mass between the two shook waves, contained in the teat box, rsmaina the aana* Fbnca the decrease of bmss in the part of the box in front of the first shock front, the first tern** in relation I, equals the sum of the increase of xaass in the pert of the box behind the second shock front, the t'lrd term in I, and the ♦It is clear that tlie T3ctor behind the first shock front is perpendicular to it since this front novas into quiet sir.
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