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2001
Newton’s second law of motion requires that the rate of change of momentum of a fluid parcel be balanced by the body force exerted on its volume and the surface force exerted on its boundary. Under certain conditions, the rate of change of momentum is small compared to the body and surface force, and may be neglected without introducing serious error ...
Etienne Guyon +3 more
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Newton’s second law of motion requires that the rate of change of momentum of a fluid parcel be balanced by the body force exerted on its volume and the surface force exerted on its boundary. Under certain conditions, the rate of change of momentum is small compared to the body and surface force, and may be neglected without introducing serious error ...
Etienne Guyon +3 more
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Dynamic Coupling at Low Reynolds Number
Angewandte Chemie International Edition, 2019AbstractCollective and emergent behaviors of active colloids provide useful insights into the statistical physics of out‐of‐equilibrium systems. Colloidal suspensions containing microscopic active swimmers have been intensively studied to understand the principles of energy transfer at low Reynolds number conditions.
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Transport at Low Reynolds Numbers
1997As discussed in Chapter 1, fluid dynamics at low Reynolds numbers refers to what is commonly known as creeping flow to chemical engineers, and physically corresponds to motion with little or no inertia. Such motion generally arises in systems involving fluids with high viscosity or interacting particles of small dimension.
S. S. Sadhal +2 more
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1977
The Reynolds number — introduced in the last chapter in the context of dynamical similarity — can be given a physical interpretation. This is useful in gaining an understanding of the dynamical processes that are important in different Reynolds number ranges, and in formulating corresponding approximations to the equations of motion.
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The Reynolds number — introduced in the last chapter in the context of dynamical similarity — can be given a physical interpretation. This is useful in gaining an understanding of the dynamical processes that are important in different Reynolds number ranges, and in formulating corresponding approximations to the equations of motion.
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2015
Abstract This chapter uses asymptotic analysis to study low-Reynolds-number viscous flows. It considers two classical problems of low-Reynolds-number flow theory: flow past a sphere and past a circular cylinder. When dealing with the sphere flow, the chapter shows that in the ‘inner region’ the Navier–Stoke’s equations reduce, in the ...
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Abstract This chapter uses asymptotic analysis to study low-Reynolds-number viscous flows. It considers two classical problems of low-Reynolds-number flow theory: flow past a sphere and past a circular cylinder. When dealing with the sphere flow, the chapter shows that in the ‘inner region’ the Navier–Stoke’s equations reduce, in the ...
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2015
In this chapter, we provide a brief description of some of the main results of low-Reynolds-number hydrodynamics. In particular, we introduce the general subject by way of several example flows and provide derivations or explanations of some of the fluid dynamics themes that are used in later chapters of this book: channel flows, Darcy’s approximation,
Howard A. Stone, Camille Duprat
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In this chapter, we provide a brief description of some of the main results of low-Reynolds-number hydrodynamics. In particular, we introduce the general subject by way of several example flows and provide derivations or explanations of some of the fluid dynamics themes that are used in later chapters of this book: channel flows, Darcy’s approximation,
Howard A. Stone, Camille Duprat
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Effects of Compressibility at Low Reynolds Number
Journal of the Aeronautical Sciences, 1957Taylor, Geoffrey, Saffman, P. G.
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