Fluid Mechanics: Analytical Methods

Front Cover
John Wiley & Sons, Mar 20, 2017 - Science - 304 pages
Cover -- Title Page -- Copyright -- Contents -- Preface -- 1. Mechanics and Fluid -- 1.1. Introduction -- 1.1.1. Mechanics: what to remember -- 1.1.2. Momentum theorem -- 1.1.3. Kinetic energy theorem -- 1.1.4. Forces deriving from a potential -- 1.1.5. Conserving the energy of a material point -- 1.2. The "fluid state"--1.2.1. Fluid properties -- 1.2.2. Forces applied to a fluid -- 1.3. How to broach a question in fluid mechanics -- 1.3.1. The different approaches of fluid mechanics -- 1.3.2. Strategies for arriving at a reasoned solution -- 1.4. Conclusion -- 2. Immobile Fluid -- 2.1. Introduction -- 2.1.1. The fundamental theorem of fluid statics -- 2.2. Determining the interface position and related questions -- 2.2.1. Fluid statics. Incompressible fluids subject to gravity -- 2.2.2. Case of volume forces deriving from a potential -- 2.2.3. Case for compressible fluids -- 2.3. Calculating the thrusts -- 2.3.1. Methods -- 2.3.2. Thrusts on bodies that are totally immersed in incompressible fluids -- 2.3.3. Calculating the thrust on a wall -- 3. A Description of Flows -- 3.1. Introduction -- 3.2. The description of a fluid flow -- 3.2.1. The Eulerian and Lagrangian description -- 3.2.2. Kinematic elements -- 3.2. A first principle of physics: the principle of continuity -- 3.2.1. The principle of continuity -- 3.3. Notions and recalls on potential flows -- 3.3.1. Definition -- 3.3.2. Determination -- 3.3.3. Determining streamlines -- 3.3.4. Curl of the velocity -- 3.4. Example of kinematic calculations -- 4. Dynamics of Inviscid Fluids -- 4.1. Introduction -- 4.2. The Bernoulli theorem: proof -- 4.2.1. What to retain -- 4.2.2. Energetic interpretation of the Bernoulli theorem -- 4.2.3. Physical interpretation of the Bernoulli theorem -- 4.2.4. "Constant energy" flows -- 4.3. Applications of the Bernoulli theorem
 

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Contents

Immobile Fluid
27
ix
51
12
59
A Description of Flows
87
22
92
23
101
Dynamics of Inviscid Fluids
127
25
140
Calculation of Thrust and Propulsion
235
58
255
87
261
127
269
157
275
177
281
Bibliography
283
Copyright

Calculating Head Losses
197

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About the author (2017)

Michel Ledoux, Professor at University of Rouen, France.

Abdelkhalak Elhami, Professor at INSA Rouen, France.