Fluid MechanicsAcademic Press, 2010 M01 20 - 904 páginas Fluid mechanics, the study of how fluids behave and interact under various forces and in various applied situations—whether in the liquid or gaseous state or both—is introduced and comprehensively covered in this widely adopted text. Fluid Mechanics, Fourth Edition is the leading advanced general text on fluid mechanics.
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Página 25
... component and are called scalars, some others are defined by three components and are called vectors, and certain other variables called tensors need as many as nine components for a complete description. We shall assume that the reader ...
... component and are called scalars, some others are defined by three components and are called vectors, and certain other variables called tensors need as many as nine components for a complete description. We shall assume that the reader ...
Página 26
... components (x1 ,x2 ,x3). The three unit vectors are a1 ,a2, and a3. denote components of a vector.) Then the position vector is written as x = a1x1 + a2x2 + a3x3, where (x1 ,x2 ,x3) are the components of x along the coordinate ...
... components (x1 ,x2 ,x3). The three unit vectors are a1 ,a2, and a3. denote components of a vector.) Then the position vector is written as x = a1x1 + a2x2 + a3x3, where (x1 ,x2 ,x3) are the components of x along the coordinate ...
Página 27
... components in the rotated system are related to the components in the original system by xj = x1C1j + x2C2j + x3 C3j = 3∑ i=1 xiCij. (2.1) For simplicity, we shall verify the validity of equation (2.1) in two dimensions only. Referring ...
... components in the rotated system are related to the components in the original system by xj = x1C1j + x2C2j + x3 C3j = 3∑ i=1 xiCij. (2.1) For simplicity, we shall verify the validity of equation (2.1) in two dimensions only. Referring ...
Página 29
... components of x in the old coordinate system are related to those in the rotated system by x j = Cjixi. (2.7) Note that the indicial positions on the right-hand side of this relation are different from those in equation (2.5), because ...
... components of x in the old coordinate system are related to those in the rotated system by x j = Cjixi. (2.7) Note that the indicial positions on the right-hand side of this relation are different from those in equation (2.5), because ...
Página 30
... components for a complete specification because two directions (and, therefore, two free indices) are involved in ... component of the force on a surface whose outward normal points in the i-direction is denoted by τij. (Here, we are ...
... components for a complete specification because two directions (and, therefore, two free indices) are involved in ... component of the force on a surface whose outward normal points in the i-direction is denoted by τij. (Here, we are ...
Contenido
1 | |
25 | |
53 | |
81 | |
139 | |
Irrotational Flow | 165 |
Gravity Waves | 213 |
Dynamic Similarity | 279 |
Turbulence | 537 |
Geophysical Fluid Dynamics | 603 |
Aerodynamics | 679 |
Compressible Flow | 713 |
Introduction to Biofluid
Mechanics | 765 |
Some Properties of
Common Fluids | 841 |
Curvilinear Coordinates | 845 |
Founders of
Modern Fluid Dynamics | 851 |
Laminar Flow | 295 |
Boundary Layers and Related
Topics | 339 |
Computational Fluid
Dynamics | 411 |
Instability | 467 |
Visual Resources | 855 |
Index | 857 |
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approximation assumed atmosphere average becomes blood body boundary conditions boundary layer called Chapter circulation components Consider constant continuity coordinates cylinder decreases defined density depends derivative determined developed direction discussed distribution drag dynamics effects element energy equal equation example expressed field Figure finite flow fluid follows force function given gives gravity heat horizontal important increases initial instability integral irrotational length limit linear mass mean Mechanics method momentum motion moving normal Note obtain particle plane plate positive potential pressure problem propagation region relation represents requires result Reynolds number rotation scale shear shock shown shows side similarity solution speed steady streamlines stress surface surface tension temperature tensor theory tube turbulent unit variables vector velocity viscous volume vortex vorticity wall wave written zero