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Discrete Anisotropic Curve Shortening Flow
SIAM Journal on Numerical Analysis, 1999A numerical scheme for the numerical solution of the nonlinear and degenerate problem of anisotropic curve shortening flow (which is a geometric evolution of a curve and is equivalent to the gradient flow of anisotropic interface energy) is developed. The analysis is based on the fact that the evolution problem can be transformed into a linear partial ...
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Polystyrene Master Flow Curves
Transactions of the Society of Rheology, 1974Capillary extrusion flow curves of four anionic and five polydisperse polystyrenes have been measured at five temperatures between 170 and 237°C. The non-Newtonian flow curves of the narrow distribution polymers can be represented by a common master curve in terms of the viscosity ratio (η/η0) and the product of shear rate and a relaxation time.
K. K. Chee, Alfred Rudin
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Flow in Narrow Curved Channels
Journal of Applied Mechanics, 1980The flow through narrow, arbitrarily curved channels is formulated using intrinsic coordinates. An exact solution exists for constant curvature or circular arc boundaries. A perturbation scheme is used for the case of small, periodic curvature. The velocities and flow rates depend on both the curvature amplitude and the wave number.
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1969
AbstractSteady laminar flow in a curved pipe of circular cross section is investigated. It is assumed that the flow consists of a frictionless central core surrounded by a boundary layer. A formula for the friction factor of a curved pipe is derived, and the discharge coefficient for a 360‐deg elbow flowmeter is discussed.
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AbstractSteady laminar flow in a curved pipe of circular cross section is investigated. It is assumed that the flow consists of a frictionless central core surrounded by a boundary layer. A formula for the friction factor of a curved pipe is derived, and the discharge coefficient for a 360‐deg elbow flowmeter is discussed.
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A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering, 2006
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