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## 3. Connected pipes problem

4. the ration between cross-sectional area and fluid speed problem.

## 10. The lift force of airplane

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## Fluid mechanics problems and solutions

When you try to solve problems of Physics in general and of fluid mechanics in particular, it is important to follow a certain order . Try to be organized when you solve these problems, and you will see how it gives good results. It is worth spending a bit of time on the analysis of a problem before tackling it.

Most of the solved fluid mechanics problems shown on the following pages are applications of these three equations: the Archimedes’ principle , the continuity equation and the Bernoulli’s equation . We will consider the fluid incompressible in all these problems, and if in motion, that the flow is laminar and stationary.

When solving a fluid mechanics problem, follow these steps:

On the following pages you will find some fluid mechanics problems with solutions. Try to do them before looking at the solution.

## Fluid dynamics – problems and solutions

Torricelli’s theorem

Wanted : The speed of water (v)

2 . A container filled with water and there is a hole, as shown in figure below. If acceleration due to gravity is 10 ms -2 , what is the speed of water through that hole.

3 . A container filled with water and there is a hole, as shown in figure below. If acceleration due to gravity is 10 ms -2 , what is the speed of water through that hole.

Wanted: The speed of water (v)

0.5 = 5 t 2

6. Water flows through a pipe of varying diameter, A to B and then to C. The ratio of A to C is 8 : 3. If the speed of water in pipe A is v, what is the speed of water in pipe C.

v C = 8/3 v

The equation of continuity :

9. If the diameter of the larger pipe is 2 times the diameter of smaller pipe, what is the speed of fluid at the smaller pipe.

The speed of water in pipe 2 is calculated with the equation of continuity :

The height of the large pipe (h 1 ) = -4 meter s

The speed of water in pipe 2 is calculated using the equation of continuity :

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1. Fluid Mechanics Problems and Solutions

CONTENTS CHAPTER PREVIOUS NEXT PREP FIND. CONTENTS: FLUID MECHANICS. CHAPTER 01: FLUID PROPERTIES. CHAPTER 02: FLUID STATICS. CHAPTER 03: FLUID KINEMATICS.

2. Fluid Mechanics 1 034013 Exercise Booklet

Fluid Mechanics is an important and fundamental branch of Physics. ... manner to problem (b) except that the homogeneous solution now has the following form.

3. 2500 solved problems in

14.209], or it may be evaluated within the equation itself [as in Prob. 14.94]. •. Virtually every number appearing in a solution is either "given" information

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Author | Bahodir AhmedovComplete solutions of the following three problems:1. A water flows through a horizontal tube of varying cross

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10 Fluid Dynamics Problems And Solutions Explained In Detail · 1. Fluid flow rate problem · 2. Equation of Continuity Problem · 3. Connected pipes problem · 4. The

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This book is a comprehensive collection of problems with accompanying solutions in fluid mechanics which demonstrate the application of fluid flow.

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These slides contain some notes, thoughts about what to study, and some practice problems. The answers to the problems are given in the last slide. In the

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Fluid mechanics problems and solutions · Pascal's law - Hydraulic lift · Archimedes' principle - Why does an iceberg float? · Archimedes' principle - The gold

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Water flows through a 2cm diameter pipe at 1.6m/s. Calculate the Reynolds number and find also the velocity required to give the same Reynolds number when

10. Fluid dynamics

8. Water flows through a pipe of varying diameter, as shown in figure below. If area 1 (A1) = 8 cm2, A2 = 2 cm2 and the speed of water in pipe 2 = v2 = 2 m/s