New Reply

Thermodynamics: turbine, steady-state, how to find the necessary mass flow?

 
Share Thread
Nov22-11, 01:38 PM   #1
 

Thermodynamics: turbine, steady-state, how to find the necessary mass flow?


The problem (tried my best to translate it):
A small high speed turbine is operating on compressed air. It deliveres dW/dT=100 W. At the inlet, the pressure is 400 kPa and the temperature 50*C.

At the exit, the pressure is 150 kPa and the temperature -30*C.

Neglect the velocity and assume an adiabatic process. Find the necessary mass flow of air through the turbine.


My attempt at a solution:
I have derived the first law for a control volume:
dE/dt=(dQ/dt)-(dW/dt)+∑m_i (h_i+0.5v_i^2+gz_i)-∑m_e (h_e+0.5v_e^2+gz_e)

Where t is time, and m_i og m_e is rate of change of mass flow at the inlet and exit, respecitively.
Assumed steady state: dE/dt=0.
Adibatic dQ/dt=0.
Also m_e´=m_i´=m´

By neglecting kinetic and potential energy associated with gravity, i end up with:

dW/dt=m(h_i-h_e) <=> m=(dW/dt) / (h_i-h_e)

So far so good, but now I need to find the change of enthalphy. We were supposed to solve this task without the use of steam tables. I have tried to use the definition of constant volume heat capacity, but no luck so far. Any input?

Thanks in advance. :)

e: sorry, this was supposed to go in the homework section. Could a mod please move it? Thanks. :)
PhysOrg.com physics news on PhysOrg.com

>> Kenneth Wilson, Nobel winner for physics, dies
>> Two collider research teams find evidence of new particle Zc(3900)
>> Scientists make first direct images of topological insulator's edge currents
New Reply

Similar discussions for: Thermodynamics: turbine, steady-state, how to find the necessary mass flow?
Thread Forum Replies
how to find the steady state solution Differential Equations 6
Find the steady-state oscillation of the mass–spring system modeled by the given ODE. Calculus & Beyond Homework 5
Steady state heat flow Precalculus Mathematics Homework 1
adiabatic steady state flow in a nozzle Aerospace Engineering 3