Water enters the piping arrangement shown in the figure at a volumetric flow rate Q1=0.4 m^3/s. The water flow is then divided into pipes of diameter [Theta2] = 5 cm and [Theta3]= 10 cm. If the average speed of the water in pipe 2 is [V2] = 25 m/s. What is the flow rate Q3 in m^3/s in the pipe of diameter theta 3? And at what speed does the fluid leave through pipe 3 in m/s?

P1 A thin layer of water flows down a plate inclined to the horizontal with an angle a = 15° in the shown coordinate system. If the thickness of the water layer is a=0.5 mm, assuming that the flow is laminar and incompressible, (water density p = 1000 kg/m³viscosity µ = 0.001 Pa.s and acceleration of gravity g = 9.81 m/s²) and an air flow shears the layer in a direction opposite to its flow with a shear stress of 1 N /m². Solve the Navier-Stokes equation: air water (a) to find the value of the maximum water velocity in m/s to three decimal points, Answer: (b)and to find the value of water velocity at the layer's surface in m/s to three decimal points, Answer:

The velocity for a steady, incompressible flow in the xy plane is given by u=Ax², v= Ayx, where A= 1.2 m1s, x and y in meter. Find the the curl of the velocity vector at the point (0.04 m, 0.01 m): O 0.0000 O 2.3999 O 0.0120 O 0.0005 O 0.0019 O 1.1999 O 0.0000 O 1.2000

A water diffuser is constructed like that in the figure below. Diffuser wall 2 m Flow Entrance 7 m Exit The volumetric flow rate at the entrance (per meter depth into the plane of the image) is 14.0 m2/s and the pressure difference Pexit - Pentrance = 350 kPa. What is the expansion angle in degrees? i