ulyden
Well-Known Member
At 6 knots in one hour we would cover say 11,112m in 3,600s equating to a velocity of (11,112/3,600) = 3.086 m/s.
Did you apply the simple laws of kinetic energy F=m.V^2/2?
Hence 13,850kg x 3.086m/s^2/2=131.9kj say 36.64kW (that is 36.64kj/s x 3,600s)? Ignoring water/air resistance, etc?
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Just one comment. Formula for kinetic energy is correct. Then you get work in Jules or Nm. To get horsepower or KW you have to divide by time. If you have your boat on a frictionless surfase and want to accelerate to 3.086m/s in 5 sek your power demand is =.5*13850kg*3.086m/s^2 Which is the work needed to get 3.08m/s or 6 knots.
The POWER needed to get the boat into this speed is Work/time. So to accelerate this heavy boat into 6 knots in 5sek demands 65949Joule/5sek = 13 189W or 13KW
Lets compare with a real car! You want to go 0-100km (28m/s) in 8sek in a 1500kg car.
Kinetic energy= 0.5*1500*(28m/s^2)=588 000Joule.
Power : 588 000joule/8sek= 73.5KW or 100hp. This is not incrudes loss in friction, rolling and air resistance. Also remember a piston engine does not deliver maximum power at all speeds. In real life you need a 160hp engine.
Point is You cant multiply work with time to get power. You have to devide!
Just one note This is not a good engine for this purpose. Its a high BMEP engine wich might have poor atomisation and to much cooling to operate inn this stage for a long period. At 35% speed the torque is 0.35^1.5 times the fulll load torque.
Don't know why VP is using 2.5 curves. I have cheeced a lot of real boat test curves and they all seams close to 2.7 on planning hulls.
But from a engine view the 3.0 curve is the easiest. At 80% speed the 3.0 curve will have a 0.8^2 torque demand 65% of full load torque. The 2.5 will have a 71% torque demand wich is harder and gives a higher power. The 3.0 curve gives 51% power at 80% speed the 2.5 curve gives 57% power at the same speed! Makes it harder to compare different engines in part load.
I always use full power consumtion. On this 63P engines it hurts a bit because the loss of efficiency using a waste gate.