Hydraulics Uggto Options Ч4

Task 1.12. To determine the shear stress in a Newtonian fluid at the point with y-coordinate if the velocity has the form u(y) = u0 (y/yo)2
Task 2.12. To determine the thrust p through the chimney of height H, if the density of the ambient air 1 = 1.2 kg/m3. Density of flue gases should be calculated as the density of air at temperature t and a pressure of 0.1 MPa according to the equation of state.
Task 3.12. Sand for construction is delivered on a wooden barge that has vertical sides and a bottom area . Own weight scows M. to Determine whether to pass the hopper barge is: a) empty; b) with a load of sand with the capacity of W, if the least depth in the fairway is equal to hmin. The density of the sand to take a value of 2000 kg/m3.
Task 4.12. The channel width b (perpendicular to the drawing) moves water with the flow rate Q. the height of the projection channel is a, the liquid level h1 above the ledge, the height of liquid rise after the projection h2. To determine the speed of water over ledge after ledge.
Task 5.12. Outflow of water from the tank there is a system of pipes with variable cross-sections that are square1, 2, 3, 4. The liquid level in the tank is equal to H. Neglecting the resistance (take the h1-2 = 0), determine the velocity V4, the speed in other sections V1, V2, V3, the flow rate Q and to construct a piezometric line.
Task 6.12. Channel with vertical side walls, a width b and a depth of the liquid in it h moving water. The roughness of the walls of the channel n, the Hydraulic gradient of the water in the channel i. To calculate the average fluid velocity in the channel and the flow rate. Values of the modulus of the velocity W depending on the hydraulic radius R and the roughness of pipe wall n is shown in table 24.
Task 7.12. Oil for self-flowing pipeline consisting of two sections of lengths ℓ1 and ℓ2, diameter d and surface roughness of pipe k, and flows from the right tank to the left. The density of oil  and dynamic viscosity of oil . The water flow rate Q. the Difference in water levels in the tanks h1. The distance from the upper tank to the vacuum gauge h2. The coefficients of local resistances on the sections хм1, x m2. The manometers pm1, pm2. The readings on the vacuum gauge pv.
Calculate the sum of the heights h1 + h2.
Note: the first section from the left tank to the vacuum gauge from vacuum gauge to the right of the tank.