Difference between revisions of "Propulsion"

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This is the equation that links the electrical power, the propulsive force and the ISP.
 
This is the equation that links the electrical power, the propulsive force and the ISP.
  
Pe = F x ISP *9,81 / 2n  or Pe = F x Ev /2n
+
P = F x ISP *9,81 / 2n  or P= F x Ev /2n
  
Pe = electric power (Watts)
+
where:
 +
 
 +
P = power (Watts)
  
 
F = Engine force (Newtons)
 
F = Engine force (Newtons)
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ISP = Specific impulse (Seconds)
 
ISP = Specific impulse (Seconds)
  
n = efficiency of electric engine
+
n = efficiency of engine
  
 
9,81 conversion factor
 
9,81 conversion factor
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===Velocity===
 
===Velocity===
V = Ev x ln(Mo/Mf)
+
V = Ev x ln(M<sub>o</sub>/M<sub>f</sub>)
  
 
Ev = Exhaust velocity (m/s)
 
Ev = Exhaust velocity (m/s)
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ln = natural logarithm
 
ln = natural logarithm
  
Mo = Initial mass of the ship (kg)
+
M<sub>o</sub> = Initial mass of the ship (kg)
  
Mf = Final mass of the ship (kg)
+
M<sub>f</sub> = Final mass of the ship (kg)
  
 
The propulsive force is the force the engines produce to push the ship. This is factor of the available electrical energy, the engine efficiency and the propulsive system ISP and ejection velocity.
 
The propulsive force is the force the engines produce to push the ship. This is factor of the available electrical energy, the engine efficiency and the propulsive system ISP and ejection velocity.

Revision as of 11:01, 5 August 2019


Theory

Propulsion equation

This is the equation that links the electrical power, the propulsive force and the ISP.

P = F x ISP *9,81 / 2n or P= F x Ev /2n

where:

P = power (Watts)

F = Engine force (Newtons)

ISP = Specific impulse (Seconds)

n = efficiency of engine

9,81 conversion factor

Ev = Exhaust velocity (m/s)

Specific impulse

ISP = Ev / 9,81

ISP = Specific impulse (Seconds)

Ev = Exhaust velocity (m/s)

Fuel consumption

m = F/Ev

m = Fuel consumption (kg/s)

F = Force (Newtons)

Ev = Exhaust velocity (m/s)

Velocity

V = Ev x ln(Mo/Mf)

Ev = Exhaust velocity (m/s)

V = ship final velocity (m/s)

ln = natural logarithm

Mo = Initial mass of the ship (kg)

Mf = Final mass of the ship (kg)

The propulsive force is the force the engines produce to push the ship. This is factor of the available electrical energy, the engine efficiency and the propulsive system ISP and ejection velocity.