- #1
PythagoreLove
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Homework Statement
Assume the temperature of the exhaust in an exhaust pipe can be approximated by
T=T0(1+ae-bx)[1+c cos([itex]\omega[/itex]t)]
T0=100oC,
a=3,
b=0.03m-1,
c=0.05,
[itex]\omega[/itex]=100 rad/s.
If the exhaust speed is a constant 3 m/s, determine the time rate of change of temperature of the fluid particle at x=0 and x=4 m when t=0.
Homework Equations
We know the equation of the temperature in function of the time and the position
T=T0(1+ae-bx)[1+c cos([itex]\omega[/itex]t)]
The Attempt at a Solution
We know that the time rate of change of temperature of the fluid particle is dT/dt
[itex]\frac{dT}{dt}[/itex]=T0(1+ae-bx)[-c [itex]\omega[/itex] sin([itex]\omega[/itex]t)]
When t=0, dT/dt=0... unfortunately that isn't the answer, since I don't use the exhaust speed (and have no idea how I could use it).
Thank you
PytLove