Thermodynamics Conceptual Question

AI Thread Summary
To find the rate of change in kinetic energy for air flowing from an inlet to an outlet in a duct system, the relevant equation is the kinetic energy formula K.E. = 1/2 mv². The discussion emphasizes understanding how to apply this formula to the mass flow rates and velocities at the inlets and outlet. The rate of change of kinetic energy can be expressed as d/dt(KE) = 1/2 * ṁ * v², where ṁ is the mass flow rate. Clarification is needed on whether the focus is on the difference in kinetic energy between the inlets and the outlet or the total kinetic energy over time. Understanding these concepts is crucial for solving the problem effectively.
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Homework Statement



I have a system with air flowing through a ducting with two inlets and one exit operating at steady state. There is no heat transfer or potential energy change. I know the mass flow rates and velocities at all inlets and exits. How would I go about finding the rate of change in kinetic energy for the stream flowing from point 2, an inlet, to point 3, the outlet.

Homework Equations



The Attempt at a Solution



I don't know exactly what the rate of change of kinetic energy between one of the inlets and the exit means, so I don't know where to start.
 
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Maybe the rate of change in the kinetic energies of the inlets and outlet per minute or second? K.E. = \frac{1}{2}mv^2
 
Last edited:
Adding to what crims0ned suggested

\frac{d}{dt}(KE) = \frac{1}{2} \dot{m}v^2
 
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