Lecture Note
University
Swansea UniversityCourse
EG-086 | Engineering SciencePages
4
Academic year
2023
Lloyd Reader
Views
0
Isenthopic flow Mach Number variation 23) constant TV Isostrope process Entropy S Heat Highsfel Qad. Mach Number Nariation aT The isentiopic energy Equator is given by in ho- 4 it - Constant 1 the abre equation swears + differentiating dh + 2cde Onis 2019 to at brhastost of dh F dp dh + cdc =01 HAVE research = 1-7 P in of individual NUM - M I dp + cdc =0 S. dp= -scdc 2 (9) Hand 200 From costinuity equation Houston mass flow g in= PAC = constant below taking loge on both sid; and M differentiate 9 first ln P + ln At Inc = enc 9 d : S + dA + = O to Master s A C dc = -C [ ds S t dA 3 fishan bro D tug Now for 2 as de = - dp 4 4 in 3 SC fdf [ dr + dA dp SL = SC 2 ( ds t dA] ds dA dp + 2 A SC2 dt dp ds = SC2 S A
dA A Singl' dp 1- 8 xsc dp ds dA = dp 2 [ dl d/p c) hult A Sc For an irenthpic process dp dp a2 as from ds S Vt trut dp 2 dA 1- also Mach Number = a2 A SC2 (a) M dA = dp [P-imzj B not A Sc2 doing NEW Nutrant I Expansion in Nozzles (1-ana with (M) increase in livelocity by recreating the local mach no: and Expanson of gases in nozsle is an accelerating the pressure. process The shape of the mozzle depends on M values. in the by substituting losal following equ: how 2) dA dp - [:- 192]. A SC2 NOBOURD Imak In can of the pressure drop dp is alway negath - DAY Cases: (1-7) 9 A SY on M A 1 is c in in some 1. L M>1 Inlet M41 M=1 ve 42 outlet A M -ve Ave Increase Area reducing M , supersome Gord str Subsonic magge S Isentupic flow of gas A 11 A 6 A M
Diffuse Ab 23/ the THE Device used to increase the pressure and decrease velocity Her pressure of fluid. differex (pp) is aways +ve some 6 MKI M-1 M>I be adlet Inlet +ve rea reducing Area increasing subsome supersonic A I sentupic flow of a gas in diffuse is A ( Area Ratio as a function of Mach ratio at ratios, Like tamp , Pr and density given Here is also a useful a section quassity the of passage (A) at the ratio of the area given Mach number (M) Reference Avea oo and the condition (M=M*-1) is the local Mae Number stattedue expressed as [sm It From contracty equation: A is PAC- A C wt P*C Y2 A = P e 2+ (6-1) M2 Y2 2 t (5-1) = C" (5+1)M2 H New a'l (5+1) M2 C 1/2 2 (6-1) t c" * I (611) M7) M2 2 M (5H) C LAM / 2 of M2 Hd = + 5 2 We know 6+1 3 WVA (++) 2+67 2187 1 - I 2 and 3 in r- T 1/2 2 H-1 M 2 t A + rH) OH Mt) M2 = 6th 5+1) 1+1 A 2 + 5-1 M2 2(r) L = AF M (HH) rH
Vanction of Ama Rate with Mach Number Accelarion ordered of MCI MXI Supervice M-1 Mach Number n. The function A P is used for Many Compressible flow calculations. At Po 5H A 1/2 2 + rH ( x-1/ 8H ) M2 2(+) A. - To P (1 It 5-1 mt] r-1 4/6 2 TH 5H = 1 - 1 ( 2 2(ft) I + (4) M2 2(5-1) [it (FI)N'S 14 r 5H - 1/4 5 off A p I 2 2(5)) 2(r-1) re A+ x = P. M 7+1 = r+1-2r - It 5-1 1/2 2rd) - 1-5 ((3-1) 2(r-) 2(5-1) it
Isentropic Flow; Mach Number Variation
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