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Quadrature solution for foam flow in porous media

Journal of Petroleum Science and Engineering, 1996
The Ikoku and Ramey foam flow model is modified to account for the real gas behavior encountered in petroleum reservoirs, a practical and accurate quadrature solution is obtained for four types of boundary conditions, and a sensitivity analysis with respect to the power-law fluid parameter is carried out.
Freddy H. Escobar, Faruk Civan
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Quadrature solution for the general relativistic motion of a satellite or a planet

Celestial Mechanics, 1973
The Schwarzschild field of a central massM is used to derive the general relativistic motion of a particle in a bounded orbit aroundM. A quadrature gives the central angle ϕ as a quasi-periodic function ϕ (f) of an effective true anomalyf. The linear term is an infinite series, whose second term yields the usual rate of advance of pericenter.
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A Multi-Site Test Solution for Quadrature Modulation RF Transceivers

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2011
In this letter, we present a 2x-site test solution for radio frequency transceivers using only baseband signals for analysis. We perform all operations on communication standard-compliant signal packets, thereby putting the device under the normal operating conditions. The transmitter on one device under test (DUT) is coupled with a receiver on another
Erdem Serkan Erdogan, Sule Ozev
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Solution of the quadrature field equations in the electromagnetic blood flowmeter

Medical & Biological Engineering, 1974
The differential equations governing the eddy-current distribution in the flow field of the electromagnetic blood flowmeter yield two solutions. The first is that of the flow-induced current and the second relates to the ‘quadrature’ current which is caused by time-changing magnetic fields. The quadrature current equations are solved for a flow tube of
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A differential quadrature method for numerical solutions of Burgers'‐type equations

International Journal of Numerical Methods for Heat & Fluid Flow, 2012
PurposeThe purpose of this paper is to use the polynomial differential quadrature method (PDQM) to find the numerical solutions of some Burgers'‐type nonlinear partial differential equations.Design/methodology/approachThe PDQM changed the nonlinear partial differential equations into a system of nonlinear ordinary differential equations (ODEs).
Mittal, R. C., Jiwari, Ram
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Quadrature Solution for Waterflooding of Naturally Fractured Reservoirs

SPE Reservoir Evaluation & Engineering, 1998
Summary An efficient solution for deSwaan's formulation of waterflooding in naturally fractured porous media by the quadrature method is presented. Comparisons of the analytic, finite difference, and quadrature solutions of the unit endpoint mobility ratio problem reveal that the quadrature solutions are more accurate and much more ...
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Differential quadrature solution of nonlinear Klein–Gordon and sine-Gordon equations

Computer Physics Communications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bengisen Pekmen, Münevver Tezer-Sezgin
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Solution of magnetohydrodynamic flow in a rectangular duct by differential quadrature method

Computers & Fluids, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Differential Quadrature Solution of Natural Convection in an Enclosure with a Partial Partition

Numerical Heat Transfer, Part A: Applications, 2007
Natural convection in a partially divided enclosure has been examined numerically using a differential quadrature method. Governing equations for the flow and heat transfer have been constructed by the vorticity-stream function formulation and computational results have been obtained for the Rayleigh numbers, 104, 105, 106, the locations of the ...
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Rapid and accurate solution of reactor models by the quadrature method

Computers & Chemical Engineering, 1994
Abstract A proper application of the quadrature method for numerical solution of a model of an isothermal reactor with axial mixing is presented. It is shown that the present method alleviates the numerical difficulties encountered in the previous finite difference and quadrature solutions while satisfying the boundary conditions accurately.
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