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10 Problems and Solutions to Practice Fluid Dynamics
10 Fluid Dynamics Problems And Solutions Explained In Detail
- Calculate fluid flow rate
- Using the equation of continuity
- Find the speed of fluid in connected pipes
- Using Torricelli’s principle to solve the leaking tank problem
- Using Bernoulli’s equation to solve some problems
- Understand how venturi meter works
- Calculate the lift force on a plane by using Bernoulli’s principle
1. Fluid flow rate problem
2. Equation of Continuity Problem
3. Connected pipes problem
4. the ration between cross-sectional area and fluid speed problem.
5. Leaking tank problem
6. Leaking tank problem II
7.Find the speed of flowing water with a venturimeter
8. The relation between fluid speed and pressure
9. Bernoulli's principle 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:
- Read carefully the problem statement.
- Draw a picture of the physical situation described in the problem.
- Write in your notebook the givens in the problem statement.
- Identify if the problem describes a static or dynamic situation.
- Determine the equations you will need to solve the problem.
- Do not forget to include the units in your results.
- Review the problem and check that the results you have obtained make sense.
On the following pages you will find some fluid mechanics problems with solutions. Try to do them before looking at the solution.
- Pascal's law - Hydraulic lift
- Archimedes' principle - Why does an iceberg float?
- Archimedes' principle - The gold crown
- Archimedes' principle - Acceleration of an anchor
- Archimedes' principle - Buoyant force on a partially submerged object
- Bernoulli's equation - The fountain
- Bernoulli's equation - Venturi meter
- Torricelli's law - Speed of water coming out of an orifice
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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CONTENTS CHAPTER PREVIOUS NEXT PREP FIND. CONTENTS: FLUID MECHANICS. CHAPTER 01: FLUID PROPERTIES. CHAPTER 02: FLUID STATICS. CHAPTER 03: FLUID KINEMATICS.
Fluid Mechanics is an important and fundamental branch of Physics. ... manner to problem (b) except that the homogeneous solution now has the following form.
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
Author | Bahodir AhmedovComplete solutions of the following three problems:1. A water flows through a horizontal tube of varying cross
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
This book is a comprehensive collection of problems with accompanying solutions in fluid mechanics which demonstrate the application of fluid flow.
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
Fluid mechanics problems and solutions · Pascal's law - Hydraulic lift · Archimedes' principle - Why does an iceberg float? · Archimedes' principle - The gold
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
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