Ch11_1_CF - MAE130B Ch 11(1 Compressible Flow Changzheng Huang Compressible Flow 1 Ideal gas relationship 2 Speed of sound and Mach number 3

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
MAE130B – Ch 11 (1) Compressible Flow Changzheng Huang
Background image of page 1

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

View Full DocumentRight Arrow Icon
Ch 11 (1) Changzheng Huang 2 Compressible Flow 1. Ideal gas relationship 2. Speed of sound and Mach number 3. Isentropic flow in variable duct 4. Isentropic flow in converging-diverging duct
Background image of page 2
Ch 11 (1) Changzheng Huang 3 1. Ideal gas relationship Equation of state for an ideal gas, p RT ρ = p vR T = p: pressure ρ : density R: gas constant T: temperature v: =1/ ρ , specific volume Internal energy u=u(T), v du c dT = v v ud u c Td T ⎛⎞ == ⎜⎟ ⎝⎠ v uc T = Enthalpy h=u+p/ ρ =u+RT=h(T), p dh c dT = p p hd h c T p hc T = T 1 , p 1 , v 1 p 0 p 0 p 0 p 0 T 2 , p 2 , v 2 12 vv = p p = T 1 , p 1 , v 1 T 2 , p 2 , v 2
Background image of page 3

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

View Full DocumentRight Arrow Icon
Ch 11 (1) Changzheng Huang 4 1. Ideal gas relationship hu p v =+ p vR T = huR T = + dh du RdT = + pv cdT cdT RdT cc R = + Define specific heat ratio: p v c k c = 1 1 p v kR c k R c k = =
Background image of page 4
Ch 11 (1) Changzheng Huang 5 1. Ideal gas relationship p vR T hu p v = =+ v p du c dT dh c dT = = ( ) () 1 1 v p cR k ck R k =− Entropy s is defined as, We now have, Tds du pdv Note that, dh d u pv du pdv vdp = + + ( ) Tds d u pv vdp dh vdp = v v cdT pdv dT dv ds c R TT T v = + p p vdp dT dp ds c R T p = 22 21 11 ln v Tv ssc R −= + p Tp R
Background image of page 5

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

View Full DocumentRight Arrow Icon
Ch 11 (1) Changzheng Huang 6 1. Ideal gas relationship p vR T hu p v = =+ v p du c dT dh c dT = = ( ) () 1 1 v p cR k ck R k = = We now have, 22 21 11 ln 1 1 v p Tv R ssc R R k Tp k R R R k −= + = + = Tds du pdv Tds dh vdp = + =− Second law of thermodynamics: adiabatic (no heat transfer) and
Background image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 03/10/2009 for the course MAE 130B taught by Professor Huang during the Spring '09 term at UC Irvine.

Page1 / 19

Ch11_1_CF - MAE130B Ch 11(1 Compressible Flow Changzheng Huang Compressible Flow 1 Ideal gas relationship 2 Speed of sound and Mach number 3

This preview shows document pages 1 - 7. Sign up to view the full document.

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