V.A river bed is covered with a layer of small stones as shown in the figure. The diameters of stones vary between 1.4 mm and 1.4 cm. It is observed that at some critical flow velocity some stoneswill rise and be transported along the river. A model is to be used to determine this critical velocity. Assume that the river bed is horizontal and the critical velocity, V., is a function of the particlediameter, d, the fluid density, p, and viscosity, , the density of the particles, po, and the acceleration of gravity, g.a) Determine a suitable set of dimensionless variables for this problem and clearly mark them on your solution sheet. How many pi terms are required to describe the problem?Answer:b) For a length scale of 0.3 and a fluid density scale of 1.2, what will be the ratio of the critical velocity of the model to the critical velocity of the river (assuming all similarity requirements aresatisfied)?Answer:

The flow of fluid includes movement of an unbalanced fluid. As long as unequalled forces are in…

A river bed is covered with a layer of small stones as shown in the figure. The diameters of stones vary between 1.4 mm and 1.4 cm. It is observed that at some critical flow velocity some stones will rise and be transported along the river. A model is to be used to determine this critical velocity. Assume that the river bed is horizontal and the critical velocity, V, is a function of the particle diameter, d, the fluid density, p, and viscosity, u, the density of the particles, pp, and the acceleration of gravity, g. a) Determine a suitable set of dimensionless variables for this problem and clearly mark them on your solution sheet, How many pi terms are required to describe the problem?

A river bed is covered with a layer of small stones as shown in the figure. The diameters of stones vary between 1.4 mm and 1.4 cm. It is observed that at some critical flow velocity some stones will rise and be transported along the river. A model is to be used to determine this critical velocity. Assume that the river bed is horizontal and the critical velocity, V, is a function of the particle diameter, d, the fluid density, p, and viscosity, u, the density of the particles, pp, and the acceleration of gravity, g. a) Determine a suitable set of dimensionless variables for this problem and clearly mark them on your solution sheet, How many pi terms are required to describe the problem?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Drainage of Pavements

Pavement Drainage holds ample significance, as it prevents the accumulation of water or any liquid on the surface of pavements and ensures proper drainage system. With proper design and gradual slopes provided, the water gets easily removed from the surface into the drains, which are essential during heavy rains and unusual weather conditions keeping it less prone to accidents and increasing the durability of the pavement structure.

Question

V.
A river bed is covered with a layer of small stones as shown in the figure. The diameters of stones vary between 1.4 mm and 1.4 cm. It is observed that at some critical flow velocity some stones
will rise and be transported along the river. A model is to be used to determine this critical velocity. Assume that the river bed is horizontal and the critical velocity, V., is a function of the particle
diameter, d, the fluid density, p, and viscosity, , the density of the particles, po, and the acceleration of gravity, g.
a) Determine a suitable set of dimensionless variables for this problem and clearly mark them on your solution sheet. How many pi terms are required to describe the problem?
Answer:
b) For a length scale of 0.3 and a fluid density scale of 1.2, what will be the ratio of the critical velocity of the model to the critical velocity of the river (assuming all similarity requirements are
satisfied)?
Answer:

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