Fluid dynamics questions | form five Physics

A venture meter consists of two identical wide tubes A and B connected by a narrow tube C. The liquid enters through the wide tube A and after passing through the narrow tube C leaves through the other wide tube B. The entire arrangement is as shown in the following Figure.

Use the Bernoulli’s theorem at points 1 and 2, to show that an expression for the rate of flow of the liquid is given by , where all symbols carry their usual meaning.

A cylindrical tank 1 m in radius rests on a platform 5 m high. Initially, the tank was filled with water to a height of 5 m. If a plug of area 10​^-4​ m​² is removed by an orifice on the side of the tank at the bottom; calculate the initial speed with which the water:

1. flows from the orifice.
2. strikes the ground.

Give the meaning of the terms velocity gradient , tangential stress and coefficient of viscosity as used in fluid dynamics.

Write strokes` equation defining clearly the meaning of all symbols used.

State two assumptions used to develop Strokes` equation.

Calculate the terminal velocity of the rain drops falling in air assuming that the flow is laminar, the rain drops are spheres of diameter 1mm and the coefficient of viscosity, .

Water flows past a horizontal plate of area 1.2m². If the velocity gradient and coefficient of viscosity adjacent to the plate are 10s^-1 and 1.3x10^-5Nsm^-2 respectively, calculate the force acting on the plate.

A horizontal pipe of cross – sectional area 1.2cm² has one section of crsoo sectional area 5cm². If water flows through the pipe , and the pressure difference between the two sections in 300 Pa, how many cubic meters of water will flow out of the pipe in 1 minute?

1. state Bernoulli`s theorem for the horizontal flow.
2. On which principle does the Bernoulli`s theorem based?

A pipe is running full of water . At a certain point A, it tapers from 30cm diameter to 10cm diameter at B, the pressure difference between point A and B is 100cm of water column. FInd the rate of flow of water through the pipe.