Purchase Solution

Set of ten problems on hydrodynamics

Not what you're looking for?

Ask Custom Question

(See attached file for full problem description).

Purchase this Solution

Solution Summary

Solutions to these ten problems illustrate different principles of hydrodynamics such as continuity equation, Bernoulli's theorem, Torricelli's theorem, siphon.

Solution Preview

Please see the attached file.

SOLUTION
Basic theory

Continuity equation : Assuming the liquid to be incompressible, rate of flow of liquid at any cross section is same. Thus, av = constant (a1v1 = a2v2 = a3v3) where a = area of cross section, v = velocity of liquid at that cross section. ........(1)

Bernoulli's theorem : For streamline flow of a perfect liquid in a pipe, the sum of pressure energy, potential energy and the kinetic energy per unit mass is constant throughout the flow. This can be expressed by the following equation : P/ρ + gh + ½ v2 = Constant ....(2)

Alternative forms of the above equation are :

Multiplying (2) by ρ we get : P + ρgh + ½ ρv2 = Constant ......(3)

Dividing (2) by g we get : P/ρg + h + ½ (v2)/g= Constant ....(4)

Torricelli's theorem : The velocity (v) of liquid emerging out of an orifice in a container will be the same as a freely falling object would acquire after falling through a distance equal to the vertical distance (h) between the free surface of the liquid and the orifice.
___
V = √2gh (g = acceleration due to gravity) .........(5)

Problem 013

16m

Flow of water = 1.9 x 10-3 m3/min

Using Torricelli's theorem we calculate velocity of water coming out of the hole as:
___ ...

Purchase this Solution


Free BrainMass Quizzes
The Moon

Test your knowledge of moon phases and movement.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Basic Physics

This quiz will test your knowledge about basic Physics.