Consider the generic model of the inflight and stationary turbojet. T -D=mV, where T = Vev(ṁ¡+rṁf) - Viw(ṁ;) + (Pe-P;)A. m¡ = P;VivA ¡ Viv = V¡ + Vv a) Suppose vehicle flight condition is steady (V, = 0), inlet conditions are approximated by the vehicle moving through calm unaltered free stream air (V, = 0), and fuel mass flow rate is negligible compared to the inlet mass flow rate (ṁf << ṁ¡). Derive the algebraic equation (2nd order polynomial equation) governing the vehicle speed. b) For the indicated numeric data, compute the vehicle speed where r = r; = re denotes radius of cylindrical engine shape and is equal at the inlet and exit planes. S = 300 ft² , r= 25 in , Cp= 0.04 %3D P; = 6.75 lbf/in?, ², Vely = 1000 ft/s Pe = 6.95 lbf/in Pi = 0.001266 slug/ft*
Consider the generic model of the inflight and stationary turbojet. T -D=mV, where T = Vev(ṁ¡+rṁf) - Viw(ṁ;) + (Pe-P;)A. m¡ = P;VivA ¡ Viv = V¡ + Vv a) Suppose vehicle flight condition is steady (V, = 0), inlet conditions are approximated by the vehicle moving through calm unaltered free stream air (V, = 0), and fuel mass flow rate is negligible compared to the inlet mass flow rate (ṁf << ṁ¡). Derive the algebraic equation (2nd order polynomial equation) governing the vehicle speed. b) For the indicated numeric data, compute the vehicle speed where r = r; = re denotes radius of cylindrical engine shape and is equal at the inlet and exit planes. S = 300 ft² , r= 25 in , Cp= 0.04 %3D P; = 6.75 lbf/in?, ², Vely = 1000 ft/s Pe = 6.95 lbf/in Pi = 0.001266 slug/ft*
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Consider the generic model of the inflight and stationary turbojet.
T -D = mV,
where
T = Ve/v(m;+mf) - Vi/v(ṁ;) + (Pe-P;)A e
ṁ¡ = P¡Vi/vA i
Vilv = Vị + Vy
D =
a) Suppose vehicle flight condition is steady (V, = 0), inlet conditions are approximated by
the vehicle moving through calm unaltered free stream air (V, = 0), and fuel mass flow
rate is negligible compared to the inlet mass flow rate (ṁf << ṁ¡). Derive the algebraic
equation (2nd order polynomial equation) governing the vehicle speed.
b) For the indicated numeric data, compute the vehicle speed where r= r; =re denotes radius
of cylindrical engine shape and is equal at the inlet and exit planes.
S = 300 ft?
r = 25 in
Cp = 0.04
P; = 6.75 lbf/in? , P.=6.95 lbf/in?, pi=0.001266 slug/ft
Vely = 1000 ft/s
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