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(Solved): (30 points) The figure below shows a one meter long nozzle, which has depth b in the page. The cross ...
(30 points) The figure below shows a one meter long nozzle, which has depth b in the page. The cross-sectional area of the nozzle is given by A(x)=(1-0.2x^(2))m^(2). Sea level air at atmospheric pressure p_(\infty )=101kPa enters the nozzle at some speed V_(\infty ) and a Pitot probe at x=0.5m measures a stagnation pressure of p_(0)=103kPa.
(a) Determine the freesteam velocity.
(b) Determine and sketch the speed and pressure at any point in the nozzle as a function of the position coordinate x.
(c) If the Pitot probe were placed at the end of the nozzle, what stagnation pressure would it read?
(d) What is the horizontal force required to hold the nozzle in place.