MT2solution

# MT2solution - Midterm 2 AAE 334 Fall 2011 Name_SOLUTION...

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1 Midterm 2, AAE 334, Fall 2011 Name:_SOLUTION____________________ Exam ends at 10:20am regardless of starting time. All questions are for steady flows of air acting as a calorically perfect gas. Two original hand-written double-sided 8.5x11 inch formulas sheets are permitted. A calculator is permitted. Isentropic Flow Table (IFT) and Normal Shock Table (NST) are supplied. Phones, Ipods, Ipads, tablets, notebook computers, web access of any kind, etc., turned off. Do your own work. 1. (10 points) Consider the ratio of kinetic energy per mass of the continuum motion to kinetic energy per mass of the random molecular motion. Set up the ratio, simplify, and substitute as appropriate for air acting as a calorically perfect gas. Kinetic energy of continuum per volume is dynamic pressure, 2 2 1 V q so per mass is 2 2 V . Kinetic energy per mass of the random molecular motion is internal energy, e . The ratio is T c V e V v 2 2 2 2 and temperature appearing under velocity squared is a hint to look for Mach number. Since the speed of sound squared is RT a 2 or T R a 2 then substitute this into the above equation, 2 2 2 2 2 2 2 2 2 2 2 2 M c R a V c R a V c R a c RV e V v v v v Now work on the constant. Use v p c c R to get   2 2 2 2 M c c c e V v v p and because v p c c ,   2

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## This note was uploaded on 02/21/2012 for the course AAE 334 taught by Professor Collicott during the Fall '09 term at Purdue.

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MT2solution - Midterm 2 AAE 334 Fall 2011 Name_SOLUTION...

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