Introduction to fluid mechanics

By Y. Nakayama. 1997

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Citations in the corpus

AirSim: High-Fidelity Visual and Physical Simulation for Autonomous Vehicles (2017, neutral): “As the linear velocity dv experienced by ds is given by rds×ω , we can now use the linear drag equation for ds [22]:”
Hydrodynamics of Undulatory Propulsion (2005, methodology): “This model is often termed ‘‘reactive,’’ because it estimates forces based on the acceleration reaction, an eVect in which fluids resist changes in velocity of a moving body, as if the body had additional, ‘‘virtual,’’ mass (Batchelor, 1973; Childress, 1981; Daniel, 1984).”
Microscale acoustofluidics: Microfluidics driven via acoustics and ultrasonics (2011, methodology): “In the fluid medium, using conservation of mass, momentum, and energy in the typical way [via Batchelor (1967), for example] results in a set of governing equations appropriate for analysis (Nyborg, 1965; Morse and Ingard, 1968; Bradley, 1996; Doinikov, 1996; Howe, 2007):”
The Dynamics of Mountain-Wave-Induced Rotors (2002, background): “This parametric dependence of the overall flow structure on z 0 is common to many types of boundary layer separation phenomena in which separation persists in the limit of vanishing viscosity, so that the flow fails to approach the free-slip solution (e.g., Batchelor 1967).”
Transition from squeezing to dripping in a microfluidic T-shaped junction (2008, background): “Because the drag force exerted on the droplet depends only very weakly on the viscosity of the droplet, within the shear-driven regime, the viscosity of the dispersed phase does not influence the size of droplets appreciably (e.g. see discussion of flow past a drop in Batchelor 1967).”
Self-oscillation (2011, unknown): “2 + 4/R +O(1/R2) is called the “Strouhal number” (see [70, 72, 73]).”
Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 2. Foundation (2005, unknown): “[27]), or through relatively recent focused work on the development of a large set of such theorems for a variety of entities [18].”
Mixing‐induced precipitation: Experimental study and multiscale numerical analysis (2008, methodology): “Integrating equations (11) and (12) over the pore space volume, Vp, within the averaging volume, V, using general transport theorem [Whitaker, 1981] and spatial averaging [Whitaker, 1967] as described by Whitaker [1999] yields f @hCI i @t þ fr hvihCI i þr h~vfCI i ¼ DIr frhCI i rhyi rhCI i 1 2…”
Numerical study of flow through and around a circular array of cylinders (2011, background): “The above contributions are well known and described separately in Batchelor (1967). The wake component is weighted with the Heaviside step function, defined by H(x1) = 0 for x1 < 0 and 1 for x1 > 0.”
Gravity currents in horizontal porous layers: transition from early to late self-similarity (2007, background): “The air properties are taken from Batchelor (1973).”
Flux tube texture of the solar wind: Strands of the magnetic carpet at 1 AU?: FLUX TUBE TEXTURE OF SOLAR WIND (2008, background): “Normally, fluids are treated as a continuum: continuous and smoothly varying [cf. Shepherd, 1965; Hughes and Young, 1966; Batchelor, 1967].”
Analysis of carbon nanotube pull-out from a polymer matrix (2003, background): “Newton's friction law [10] is defined for the adjacent layers of a continuum fluid that is subjected to shearing.”
A review of wildland fire spread modelling, 1990-present, 1: Physical and quasi-physical models (2007, background): “ area of active research and the basic outlines of the principles are given here. The interested reader is directed to a considerable number of texts on the subject for more in-depth discussion (e.g. Batchelor (1967); Turner (1973)). The key aspect of ﬂuid dynamics and its application to understandi”
A new flow field design for polymer electrolyte-based fuel cells (2007, background): “where Q is the mass flow rate of the fluid, Deff is the effective dynamic diameter of the fluid flow, and x is the channel distance measured from the inlet [32].”
Coupled equations for mass and momentum balance in a stream network: theoretical derivation and computational experiments (2001, unknown): “(1993), Batchelor (1988) and Eagleson (1970)). The Saint-Venant equations depend explicitly on space and contain partial derivatives along the channel-axis. As such, they belong to the family of partial di¬erential equations (PDEs). Over the last three decades, a rich literature has developed, where”