a) A fan is installed in a residential building to provide proper ventilation. This fan is connected to a duct with I1.6 em diameter and provides the average air velocity

of 5mis. By regulation, the minimum fresh air requirement is specified to be 0.35 air changes per hour (ACH) which means 35% of the entire air contained in a room should be replaced by fresh outdoor air every hour. Determine: 1. The flow capacity of the fan in litres/min What the height of the residential building should be. b) A3 cm orifice plate is placed within a 4 em pipe in which methanel at 20 "C (SG =0.7884 and dynamic viscosity (p) 0.5857 eP) is flowing through. If the flow rate passing through the pipe is 3.1 litres per seconds, determine the pressure difference that must be measured around the orifice plate. The discharge coefficient of the orifice can-be calculated by: C_{d d}=0.5959+0.0312 \beta^{2.1}-0.184 \beta^{k}+\frac{91.71 \beta^{23}}{\mathrm{Re}^{0.25}} Where, B is the ratio of orifiee diameter to pipe diameter and Re is the Reynolds number. c) A nozzle is fastened to the end of a U-tube with dimensions as shown in Figure Q2c.The nozzle exhausts into atmospheric pressure at 100 kPa; neglect friction and compute the force exerted on the U-tube by the water. if the force required to hold the nozzle is 850 N, determine the inlet pressure. d) The drag coefficient in aircraft industry affected by some parameters which are the speed of plane (v). the plane length (L), the air density (pk. the air dynamite viscosity(p), and speed of sound (a). By using dimensional analysis, identify two non-dimension numbers in which the drag coefficient is a function of them and explain how these two will effect on drag coefficient.