# Thermodynamics Conceptual Question

## 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.

## 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.

Maybe the rate of change in the kinetic energies of the inlets and outlet per minute or second? $$K.E. = \frac{1}{2}mv^2$$
$$\frac{d}{dt}(KE) = \frac{1}{2} \dot{m}v^2$$