MT2solution

MT2solution - Midterm 2, AAE 334, Fall 2011 Name:_SOLUTION_...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 4

MT2solution - Midterm 2, AAE 334, Fall 2011 Name:_SOLUTION_...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online