Q3) Water flows through a 10-mm diameter pipe at a flow rate of 1.33×104 m³/s. Find (a) Velocity (V) of water in the pipe (b) Reynolds Number (Re) for the flow (c) Head loss (hL) due to friction for 1-m length of the pipe [Physical properties of water: Density = 1000 kg/m3; Dynamic viscosity = 0.0009 N.s/m²] LV? where friction factor, f= [Equations & Data: Head Loss, h =f 0.3164 2gd Re 0.25 > g = 9.81 m/s²]

Water flows steadily from a large pressurized closed tank as shown. The pressure difference measured by the manometer results in a 1 inch deflection in the mercury. Assuming that the flow is inviscid determine (a) the volumetric flow rate and (b) the air pressure in the space above the surface of water in the tank. Air 1-ft diameter 3-in. diameter 8 ft 1 in. Mercury

3. The aerodynamic drag on a car depends on the "shape" of the car (recall that this is related to the area in the face of the direction). Notice below that the coefficient of drag is different in the two cases ([windows and roof open] vs. [windows and roof closed]). Windows open; roof оpen: Cp %3D 0.45 Windows and roof closed: C, = 0.35 Consider the car moving at 65 mph with the roof and windows closed. There is an amount of power in this situation that is required to overcome the drag force on the car. Note that power is the product of force and velocity. At what velocity [ mph ] would the car be moving to have the same power when the roof and windows are open? Hint: this velocity will be lower than 65 mph because the car has a higher drag force in this case. (а)

Please solve all the choices with explanation

Transport Phenomena Question

Suppose that in a coating process a solid sheet immersed in a liquid is pulled steadily at velocity U through a slot in a die, as shown in the figure. The die dimensions are such that there is a liquid gap of thickness H on each side of the sheet. Far downstream from the die the coating has a final thickness H... The pressure in the upstream liquid is ambient (P = Po) and gravitational and surface tension effects are negligible. The die length is L and the system width is W. The liquid is Newtonian and Re is such that the flow is laminar. Liquid P = Po X Die Liquid Solid Sheet Liquid Die H Gas P = Po Width = W Hoo U (a) Assuming fully developed flow, determine vx(y) for the liquid in the upper gap. Be sure to use the coordinates shown. (b) Determine the force required to pull the sheet through the die. You may assume that the shear force on the sheet in the upstream liquid (x < 0) is negligible. (c) Assuming that H is given, determine H...

3-84 The two sides of a V-shaped water trough are hinged to each other at the bottom where they meet, as shown in Fig. P3-84, making an angle of 45° with the ground from both sides. Each side is 0.75 m wide, and the two parts are held together by a cable and turnbuckle placed every 6 m along the length of the trough. Calculate the tension in each cable when the trough is filled to the rim. Answer: 5510 N Cable 0.75 m 45° 45° - Hinge FIGURE P3-84

1. Water (p= 1000 kg m-³ and μ = 0.0011 kg m-¹ s-1) flows at 5 m s-1 over a 0.3 m long flat plat. Determine if the flow in the boundary layer is laminar over the entire length of the plat or it becomes turbulent at a downstream location. If latter is the case, determine the location of transition from laminar to turbulent. [Ans. BL flow is Laminar & turbulent, x = 0.11 m]

Fluid Mechanics

2C.4 Falling-cylinder viscometer (see Fig. 2C.4). A falling-cylinder viscometer consists of a long vertical cylindrical container (radius R), capped at both ends, with a solid cylindrical slug (ra- dius KR). The slug is equipped with fins so that its axis is coincident with that of the tube. One can observe the rate of descent of the slug in the cylindrical container when the lat- ter is filled with fluid. Find an equation that gives the viscosity of the fluid in terms of the ter- minal velocity of the slug and the various geometric quantities shown in the figure. Cylindrical slug descends- with speed t -XR- Cylindrical container filled with fluid Fig. 2C.4 A falling-cylinder viscom- eter with a tightly fitting solid cylin- der moving vertically. The cylinder is usually equipped with fins to maintain centering within the tube. The fluid completely fills the tube, and the top and bottom are closed. (a) Show that the velocity distribution in the annular slit is given by (1-)-(1+¹) In…