Flow Through Nozzles

University:
Duke University
Course:
PHYSICS 814 | Introduction to Fluid Mechanics
Academic year:

2023
Views:

60

Pages:

2
Author:

Pemuda H

Flow through Nozzles (3.3.3) Sq-dw = dh + vdv = = = 1 RAT + vdv = d(月)+vdv = 0 P P d() = a (constip²) = const (r-1) pr-² dp = p (r-1) pr² dp = (8-1) p² dp Y-2 ४-2 ppap + vdv = 0 → a² + v dv = 0 ++ y = 0 dv a² + av = 0 + M² = 0 = =-M2 V 2 αν V (1-M2) + = 0 experiments CR Equation doesn't account for mer so it does not match experiments. Converging Nozzle (3.3.3.1) Amin When M=1, what keeps the flow accelerating? M CR dv √(1-12)+ dv≠0, dA=0 EXAM 1 PROBLEM P=const streamline Po v2 Po v2 BERNOULLI: 23: + 2 = + ½ V = V 16: V = V2 1712 2 3 O 2 4 6 MASS: Spřiñdo = Spřiñdo + S o do + Soprondo + Sodo + Sspiñdo 3P + Soodo = 0 -ρνο + ρν,σι + ρν202 = 0 nege = Fo MOMENTUM: Sp (n) do = + Fs Ernege = - prido 3 2 4 5 = p (vi) (ν) ο + ρ (ν, ή,) ν, σ₁ + p (V₂ñz) (V2)02 - - 2 ما - £ pôdo = - [ 5 ² +53 + 5 + + 5 1 5 + 5 + 56 ] - SPondo = 0 0 5 4 5 = - [SPñão + Sopûdo] = - SPñdo = - Fwall σ ρνση +ρνση + pozz = - Fwall