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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Concept explainers

IC engines

The term "engine" indicates a mechanical device/machine used to convert input energy to a specific mechanical output. The input energy may be in the form of chemical energy, thermal energy, or so on and mechanical output is in the form of mechanical energy (work done). Generally, the engines classify into two groups which are internal combustion type and external combustion type, and further, these two types can be classified into two types that are reciprocating and rotary engines.

Question

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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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