7) Air is drawn into the engine cylinder as the piston stroke moves downward. Use a control volume to analyze the air flow into the engine cylinder. a) Sketch an

appropriate control volume. b) Starting from Reynolds Transport Theorem,develop an equation that relates the rate of change in piston height (h) to the velocity of air at the intake (assume a uniform velocity profile). c) If the piston moves from h=1 cm to h= 11 cm(Ah=10 cm) in At = 0.3 seconds, what is the average velocity of air flowing through the intake?