Year: 2007 Language: english Author: Dr. P G SAYER Genre: Lectures Format: PDF Quality: eBook Pages count: 36 Description: This is a course involving applied mathematics!!....... Mathematics applied to marine hydrodynamics for naval architects. By marine hydrodynamics I mean the dynamic properties and characteristics of water, either on the large scale where we might wish to examine the flow of water along a ship hull and past the propeller, or on a smaller scale if we are looking at the flow of water (or some other fluid) through pipework or a piece of machinery. So there will be relevance to both naval architects and marine engineers.
Contents
Introduction 1 Approach to mathematical modelling 3 Continuity equation for incompressible flow 4 Fundamental modelling tools - stream function 8 Velocity potential and irrotational flow 10 Circulation and vorticity 12 Sources and sinks 14 Doublets/dipoles and geometrical transformations 17 Vortices and propeller flow 19 Lift 22 Boundary layers 24 Boundary layer velocity profiles 26 Displacement thickness, momentum thickness and skin friction 26 Boundary layer thickness 28 Skin friction resistance in naval architecture 29 Bibliography 31 Tutorial exercises 32
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Marine hydrodynamics
Language: english
Author: Dr. P G SAYER
Genre: Lectures
Format: PDF
Quality: eBook
Pages count: 36
Description: This is a course involving applied mathematics!!....... Mathematics applied to marine hydrodynamics for naval architects. By marine hydrodynamics I mean the dynamic properties and characteristics of water, either on the large scale where we might wish to examine the flow of water along a ship hull and past the propeller, or on a smaller scale if we are looking at the flow of water (or some other fluid) through pipework or a piece of machinery. So there will be relevance to both naval architects and marine engineers.
Contents
Introduction 1Approach to mathematical modelling 3
Continuity equation for incompressible flow 4
Fundamental modelling tools - stream function 8
Velocity potential and irrotational flow 10
Circulation and vorticity 12
Sources and sinks 14
Doublets/dipoles and geometrical transformations 17
Vortices and propeller flow 19
Lift 22
Boundary layers 24
Boundary layer velocity profiles 26
Displacement thickness, momentum thickness and skin friction 26
Boundary layer thickness 28
Skin friction resistance in naval architecture 29
Bibliography 31
Tutorial exercises 32
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