Let pA and pB be given static pressure measurements at the cross sections A and B in the a...

Let pA and pB be given static pressure measurements at the cross sections A and B in the air duct shown. Assume that any cross section between A and B is circular with diameter d. Assume that the flow is steady and that the mass density ρA at A is known along with υA, the speed of the flow at A, and υB, the speed of the flow at B. Determine the expression of mass density at B and the expression of the force F acting on the fan.

Figure P5.133