A vertical circular gate with radius 2m is submerged in a fluid with s.g. of 0.85 with its top edged 2m below the liquid surface. Det. The magnitude and location of the total hydrostatic force acting on one side of the gate.

Please determine: a.)the head loss for the bend b.) the magnitudes and directions of the forces anchoring the pipe bend in place, Rx and Ry

Fluid Mechanics Problem

A 30° 2.5m Water hinge В L = 2m In the figure shown, a quarter circle gate AOB is hinged at point B. Force "T" at point A is placed at a 30 degree angle from the horizontal to keep the gate in equilibrium. Determine the following: a) Total hydrostatic force "F" = Blank 1 KN b) Force "T" to make the system in equilibrium = Blank 2 KN

The diameter of a pipe changes gradually from 6 inches at A to 18 inches at B. A is 15 ft lower than B. If the pressure at A is 10 lbs per square inch and at B, 7 lbs per square inch when there are 5.0 cubic ft per second flowing, determine: a. the direction of flow. b. the frictional loss between the two points B. If in Problem 1 the direction of flow is reversed, determine the pressure at A if all other factors, including the frictional loss, remain the same. C. In Problem 1, determine the diameter of pipe at B in order that the pressure at that point will also be 10 lbs per square inch, all other factors remaining constant. D. Determine the discharge in Problem 1, assuming no frictional loss, all other conditions remaining as stated. E. What would be the difference in pressure in pounds per square inch between A and B, Problem 1, if there were 6.2 cubic ft per second flowing, neglecting friction.

An open circular tank of 30 cm diameter and 150 cm Long contains water upto a height of 80 cm, the tank is rotated about its vertical axis at 300 rpm. The depth of parabola formed at the free surface of water is:

Two fixed horizontal parallel plates are spaced 1 cm apart. A viscous liquid (μ = 0.4 Ns/m², SG = 0.9) Flows between the plates with a mean velocity of 0.15 m/s. The flow is laminar. The pressure per meter length in the direction of flow is (k Pa/m).

Question Number 12

3.a. A steel penstock 60 cm in diameter has a shell thickness of 1.2 m. The pipe is required to design to convey a discharge with the mean velocity of 2.1 m/sec. Determine the water hammer head, pressure rise due to sudden closure of the valve by using i. Rigid water Column Theory ii. Elastic Water column theory. Take K = 2.1 * 10³N/mm2 and E = 2.1 * 10°N/mm2.

• A wooden storage vat full of oil sg=0.80 is in the form of a frustum of a cone, 2m diameter at the top and 4m diameter at the bottom, and 3m high. It is provided with two steel hoops one at top and one at the bottom. a. Compute the hydrostatic force on the side of the container. b. How high is the said force above the bottom? c. Compute the force in the bottom hoop.