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 xxii
... limit processes into the principles of “Asymptotology” remains with me today as a way to view problems. I am grateful also to countless students who asked questions, forcing me to rethink many points. The editors at Academic Press ...
... limit processes into the principles of “Asymptotology” remains with me today as a way to view problems. I am grateful also to countless students who asked questions, forcing me to rethink many points. The editors at Academic Press ...
Página 46
... limit taken, each of the six surface integrals may be approximated by the product of the value at the center of the ... limits. The result is div Q = li 1 of R++.0.x)(R++)A0A 1W – 1111 - —, ty, X - X A' | RAOARAX|** 2 2 A6–0 Ax=0 AR AR ...
... limit taken, each of the six surface integrals may be approximated by the product of the value at the center of the ... limits. The result is div Q = li 1 of R++.0.x)(R++)A0A 1W – 1111 - —, ty, X - X A' | RAOARAX|** 2 2 A6–0 Ax=0 AR AR ...
Página 47
... limits. Carrying out the limits, we obtain divQ = 1 R ∂ ∂R(RQR) + 1 R ∂Qθ ∂θ + ∂Qx ∂x . Here, the physical ... limit of the circulation integral bounding an infinitesmal surface as follows: A→0 n • curlu = lim 1 A ∫ C u • ds ...
... limits. Carrying out the limits, we obtain divQ = 1 R ∂ ∂R(RQR) + 1 R ∂Qθ ∂θ + ∂Qx ∂x . Here, the physical ... limit of the circulation integral bounding an infinitesmal surface as follows: A→0 n • curlu = lim 1 A ∫ C u • ds ...
Página 48
... ,y − y2,z )] z + 1 yz [ uy ( x,y,z − z 2 ) − uy ( x,y,z + z 2 )] y } . Taking the limits, (curlu)x = ∂u z − ∂u y ∂y ∂z . Similarly, integrating around the elemental rectangles in the other two. 48 Cartesian Tensors.
... ,y − y2,z )] z + 1 yz [ uy ( x,y,z − z 2 ) − uy ( x,y,z + z 2 )] y } . Taking the limits, (curlu)x = ∂u z − ∂u y ∂y ∂z . Similarly, integrating around the elemental rectangles in the other two. 48 Cartesian Tensors.
Página 64
... limit of the circulation integral. (See equation (2.35) of Chapter 2.) 9. Relative. Motion. near. a. Point: Principal. Axes. The preceding two sections have shown that fluid particles deform and rotate. In this section we shall formally ...
... limit of the circulation integral. (See equation (2.35) of Chapter 2.) 9. Relative. Motion. near. a. Point: Principal. Axes. The preceding two sections have shown that fluid particles deform and rotate. In this section we shall formally ...
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