Simple Analytical Approximations for Donnan Ion Partitioning in Permeable Ion-Exchange Membranes Under Reverse Electrodialysis Conditions. [PDF]
Moya AÁ.
europepmc +1 more source
Approximate analytical prediction on elastic properties of Diamond structures with varying porosities and orientations. [PDF]
Wang H +5 more
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An Adaptive Estimation Method for Heterogeneous Group Targets with Uncertain Multiplicative and Additive Noises. [PDF]
Liu Z, Jing W, Wang P, Gu W, Ma T.
europepmc +1 more source
Gold bipyramids as a promising alternative to gold nanorods for analytical and biomedical applications. [PDF]
Burov AM +5 more
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An Approximate Analytical Solution for the Stepped Bearing
Previously, solutions of the problem of the Rayleigh-type bearing with a step which is not straight have involved the use of the electrolytic tank or the use of relaxation methods, both of which are somewhat inconvenient as compared with the approximate analytical method described in this paper.
C. F. Kettleborough
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Approximate analytical solution of the Boussinesq equation [PDF]
A new approximate solution of the one-dimensional Boussinesq equation is presented for a semi-infinite aquifer when the hydraulic head at the source is an arbitrary function of time. Estimates for recharge, discharge, and elevation of the water table are given.
Lockington, D. A. +3 more
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Large Deflection of Clamped Circular Plate and Accuracy of Its Approximate Analytical Solutions
A different set of governing equations on the large deflection of plates are derived by the principle of virtual work (PVW), which also leads to a different set of boundary conditions.
Yin Zhang
exaly +2 more sources
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Analytical solution for the AN approximation
Progress in Nuclear Energy, 1997The aim of this work consists of the presentation of a new derivation and also an analytical solution for the one-dimensional AN approximation of the linear transport equation. Numerical simulations are reported.
Augusto V. Cardona, Marco T.M.B. Vilhena
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An Approximate Analytical Solution of Richards’ Equation
International Journal of Nonlinear Sciences and Numerical Simulation, 2015AbstractAn approximate analytical solution of Richards’ equation (RE) in a semi-finite layer of porous medium is obtained in this article. The basic idea is constructing a function between the Boltzmann variableϕand the traveling wave solution of RE, introducing the function into RE and calculating the relevant parameters by differential transform ...
Chen, Xi, Dai, Ying
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