(b) Show with the Rankine-Hugoniot conditions that the change in specific enthalpy is given by: Ah = P2 – P1 2

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
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Please solve (b)...please sir... 

This year's qualification round featured a spaceship escaping from a shock wave (Problem B).
The crew survived and wants to study the shock wave in more detail. It can be assumed that
the shock wave travels through a stationary flow of an ideal polytropic gas which is adiabatic on
both sides of the shock. Properties in front and behind a shock are related through the three
Rankine-Hugoniot jump conditions (mass, momentum, energy conservation):
Pivi = P202
piu? + pi = p2u3 + P2
+ hị
+ h2
where p, v, p, and h are the density, shock velocity, pressure, and specific enthalpy in front (1)
and behind (,) the shock respectively.
Shock front
v2, P2; P2; hz
U1, P1, P1, h.
(a) Explain briefly the following terms used in the text above:
(i) stationary flow
(ii) polytropic gas
(ii) specific enthalpy
(b) Show with the Rankine-Hugoniot conditions that the change in specific enthalpy is given by:
P2 - P1
Ah
2
Transcribed Image Text:This year's qualification round featured a spaceship escaping from a shock wave (Problem B). The crew survived and wants to study the shock wave in more detail. It can be assumed that the shock wave travels through a stationary flow of an ideal polytropic gas which is adiabatic on both sides of the shock. Properties in front and behind a shock are related through the three Rankine-Hugoniot jump conditions (mass, momentum, energy conservation): Pivi = P202 piu? + pi = p2u3 + P2 + hị + h2 where p, v, p, and h are the density, shock velocity, pressure, and specific enthalpy in front (1) and behind (,) the shock respectively. Shock front v2, P2; P2; hz U1, P1, P1, h. (a) Explain briefly the following terms used in the text above: (i) stationary flow (ii) polytropic gas (ii) specific enthalpy (b) Show with the Rankine-Hugoniot conditions that the change in specific enthalpy is given by: P2 - P1 Ah 2
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