Searched for: subject%3A%22Analytical%255C+solution%22
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Geers, M.G.D. (author), De Borst, R. (author), Brekelmans, W.A.M. (author)
journal article 1996
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Vermolen, F.J. (author), Zitha, P.L.J. (author), Bruining, J. (author)
In this paper we propose and analyse a simplified mathematical model on the effect of a fully miscible preflush on gel-placement in an oil reservoir. The approach is based on a segregated flow model even if the two phases are fully miscible. For the rate of a constant injection rate condition, fully implicit solutions can be constructed....
report 2001
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Regnström, B. (author)
The Theodorsen-Garrick conformal mapping is used to make a grid around a wing section and to compute the potential flow around it. The potential flow is a solution to the incompressible Euler equations and can be used to verify the inviscid part of RANS codes.
conference paper 2006
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Hemker, K. (author), Bakker, M. (author)
Analytical solutions are derived for steady state groundwater flow in a heterogeneous, anisotropic, semiconfined aquifer. The aquifer consists of a number of horizontal layers, while each layer consists of a number of homogeneous cells with different hydraulic conductivity tensors. An exact solution for an arbitrary number of layers and cells is...
journal article 2006
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Savenije, H.H.G. (author), Toffolon, M. (author), Haas, J. (author), Veling, E.J.M. (author)
Analytical solutions of the one-dimensional hydrodynamic equations for tidal wave propagation are now available and, in this paper, presented in explicit equations. For given topography, friction, and tidal amplitude at the downstream boundary, the velocity amplitude, the wave celerity, the tidal damping, and the phase lag can be computed. The...
journal article 2008
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Veling, E.J.M. (author), Maas, C. (author)
Efficient strategies for solving semi-analytically the transient groundwater head in a coupled N-layer aquifer system phi(i)(r, z, t), i = 1, ..., N, with radial symmetry, with full z-dependency, and partially penetrating wells are presented. Aquitards are treated as aquifers with their own horizontal and vertical permeabilities. Since the...
journal article 2008
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Toffolon, M. (author), Savenije, H.H.G. (author)
In this paper we extend the validity of the classical linear solution for tidal hydrodynamics including the effects of width and depth convergence. Reworking such a solution in the light of externally defined, dimensionless parameters we are able to provide simple relationships to predict the most relevant features of the tidal wave at the...
journal article 2011
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Veling, E.J.M. (author)
In this article, we describe horizontal groundwater flow due to a uniform flow at infinity around a cylindrical or elliptical inhomogeneity, where the permeability inside the inhomogeneity is anisotropic and different from the isotropic domain outside the inhomogeneity. The orientation of the uniform flow with respect to the orientation of the...
journal article 2011
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Van Wijngaarden, W.K. (author), Vermolen, F.J. (author), Van Meurs, G.A.M. (author), Vuik, C. (author)
Biogrout is a new method for soil reinforcement, which is based on microbialinduced carbonate precipitation. Bacteria and reactants are flushed through the soil, resulting in calcium carbonate precipitation and consequent soil reinforcement. Bacteria are crucially important in the Biogrout process since they catalyse the reaction. Hence, to...
journal article 2012
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Veling, E.J.M. (author)
The analytical solution is presented to the convection–diffusion equation describing the concentration of solutes in a radial velocity field due to extracting groundwater from or injecting water into an aquifer with arbitrary initial concentration data F(r), with r the radial distance, and an inhomogeneous mixed boundary condition G(t), with t...
journal article 2012
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Li, K. (author), Liu, W. (author), Markine, V.L. (author), Ma, L. (author)
conference paper 2012
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Cai, H. (author), Savenije, H.H.G. (author)
Tidal wave propagation can be described analytically by a set of four implicit equations, i.e., the phase lag equation, the scaling equation, the damping equation, and the celerity equation. It is demonstrated that this system of equations has an asymptotic solution for an infinite channel, reflecting the balance between friction and channel...
journal article 2013
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Doorn, F.A. (author)
This study develops a theoretical framework to judge in which particular instances a two-dimensional depth-averaged model is sufficient to simulate flow processes in continental shelf seas or when a fully three-dimensional model is required for accurate results. A depth-averaged model does not give any vertical information, which is unfortunate...
master thesis 2014
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Cai, H. (author)
The ultimate aim of this thesis is to enhance our understanding of tidal wave propagation in convergent alluvial estuaries (of infinite length). In the process, a new analytical model has been developed as a function of externally defined dimensionless parameters describing friction, channel convergence and river discharge. This model has been...
doctoral thesis 2014
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Righolt, B.W. (author), Kenjeres, S. (author), Kalter, R. (author), Tummers, M.J. (author), Kleijn, C.R. (author)
We study the flow in a layer of conductive liquid under the influence of surface tension, gravity, and Lorentz forces due to imposed potential differences and transverse magnetic fields, as a function of the Hartmann number, the Bond number, the Reynolds number, the capillary number and the height-to-width ratio A. For aspect ratios A 1 and...
journal article 2016
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Obergfell, C.C.A. (author), Bakker, M. (author), Maas, Kees (author)
The flood-wave method is implemented within the framework of time-series analysis to estimate aquifer parameters for use in a groundwater model. The resulting extended flood-wave method is applicable to situations where groundwater fluctuations are affected significantly by time-varying precipitation and evaporation. Response functions for time...
journal article 2016
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Hedayati, R. (author), Sadighi, M (author), Mohammadi-Aghdam, M (author), Zadpoor, A.A. (author)
Additively manufacturing (AM) techniques make it possible to fabricate open-cell interconnected structures with precisely controllable micro-architectures. It has been shown that the morphology, pore size, and relative density of a porous structure determine its macro-scale homogenized mechanical properties and, thus, its biological performance...
journal article 2017
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Bakker, M. (author), Miller, Anthony D. (author), Morgan, Leanne K. (author), Werner, Adrian D. (author)
A computational approach is presented for steady Dupuit interface flow where the aquifer extends below the sea. A detailed approach is outlined to determine the head at the coastline so that the solution below the leaky seabed may be combined with any type of steady Dupuit interface flow in the aquifer below the land. The method allows for...
journal article 2017
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Zhao, M. (author), van Dalen, K.N. (author), de Oliveira Barbosa, J.M. (author), Metrikine, A. (author)
This paper addresses the dynamic response of an infinitely long cylindrical structure embedded in an elastic half-space. The structure has a circular cross-section and its axis is parallel to the half-space surface. Excitation can be incident body waves or forces applied on the surface of the half-space and/or the structure. The model can be...
conference paper 2018
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Ionescu, Livia (author)
This thesis research has focused on developing an analytical solution for low-thrust transfer orbits. Low-thrust propulsion is an attractive option for space manoeuvres and transfers, since it provides a large specific impulse and hence efficient use of propellant. Thus, the propellant mass can be decreased, which brings advantages such as...
master thesis 2019
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