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 54
... velocity components (u 1 ,u2 ,u3). Plane polar coordinates are denoted by (r, θ), with ur and uθ the corresponding velocity components (Figure 3.1a). Cylindrical polar coordinates are denoted by (R,φ,x), with (uR ,uφ ,ux) the ...
... velocity components (u 1 ,u2 ,u3). Plane polar coordinates are denoted by (r, θ), with ur and uθ the corresponding velocity components (Figure 3.1a). Cylindrical polar coordinates are denoted by (R,φ,x), with (uR ,uφ ,ux) the ...
Página 57
... velocity vector u by q. Equation (3.5) can then be written in scalar notation as DF Dt = ∂F ∂t + q ∂F ∂s , (3.6) where the “streamline coordinate” s points along the local direction of u (Figure 3.4). 4. Streamline,. Path. Line,. and.
... velocity vector u by q. Equation (3.5) can then be written in scalar notation as DF Dt = ∂F ∂t + q ∂F ∂s , (3.6) where the “streamline coordinate” s points along the local direction of u (Figure 3.4). 4. Streamline,. Path. Line,. and.
Página 60
... velocity U to the right. This causes the ship to come to a halt and the river to move with velocity U at infinity. It follows that any velocity vector u in Figure 3.8b is obtained by adding the corresponding velocity vector u of Figure ...
... velocity U to the right. This causes the ship to come to a halt and the river to move with velocity U at infinity. It follows that any velocity vector u in Figure 3.8b is obtained by adding the corresponding velocity vector u of Figure ...
Página 64
... velocity at point O (position vector x), and let u + du be the velocity at the same time at a neighboring point P (position vector x + dx; see Figure 3.12). The relative velocity at time t is given by Figure 3.12 Velocity vectors at two ...
... velocity at point O (position vector x), and let u + du be the velocity at the same time at a neighboring point P (position vector x + dx; see Figure 3.12). The relative velocity at time t is given by Figure 3.12 Velocity vectors at two ...
Página 66
... velocity at a distance x from the axis of rotation of a body rotating rigidly at angular velocity is ×x. The second term in equation (3.25) therefore represents the relative velocity at point P due to rotation of the element at angular ...
... velocity at a distance x from the axis of rotation of a body rotating rigidly at angular velocity is ×x. The second term in equation (3.25) therefore represents the relative velocity at point P due to rotation of the element at angular ...
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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Términos y frases comunes
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