Results 81 to 90 of about 69,667 (202)

Modelling of the Czochralski flow

Abstract and Applied Analysis, 1998
The Czochralski method of the industrial production of a silicon single crystal consists of pulling up the single crystal from the silicon melt. The flow of the melt during the production is called the Czochralski flow.
Jan Franc
doaj   +1 more source

Exponential basis and exponential expanding grids third (fourth)-order compact schemes for nonlinear three-dimensional convection-diffusion-reaction equation

Advances in Difference Equations, 2019
This paper addresses exponential basis and compact formulation for solving three-dimensional convection-diffusion-reaction equations that exhibit an accuracy of order three or four depending on exponential expanding or uniformly spaced grid network.
Navnit Jha, Bhagat Singh
doaj   +1 more source

Supersymmetry and convection–diffusion–reaction equations

In this work, we are concerned with generating solutions of a class of Convection–Diffusion–Reaction (CDR) equation from the solutions of another CDR equation through the Darboux transformations.
Ho, Choon-Lin
core   +1 more source

Variational–hemivariational system for contaminant convection–reaction–diffusion model of recovered fracturing fluid

Advances in Nonlinear Analysis
This work is devoted to study the convection–reaction–diffusion behavior of contaminant in the recovered fracturing fluid which flows in the wellbore from shale gas reservoir. First, we apply various constitutive laws for generalized non-Newtonian fluids,
Cen Jinxia, Migórski Stanisław, Yao Jen-Chih, Zeng Shengda   +3 more
doaj   +1 more source

Numerical Solution of the Steady Convection-diffusion Equation with Dominant Convection

, 2013
Steady convection-diffusion equation in 2-D domain is considered. Central finite-difference approximation has been taken to obtain a large sparse nonsymmetric linear system with positive real matrix.
Pichugina, O.A., Krukier, B.L., Krukier, L.A.   +2 more
core   +1 more source

Revisiting the natural convection effects at ultra-low redox concentration solutions: The influence of viscosity and diameter of wire electrode

Electrochemistry Communications
Natural convection could arise even at ultra-low redox concentration solutions (1–10 mM). Models such as convection–diffusion layer model and spontaneous convection model have been established to describe this phenomenon.
Zichen Zhang, Jianbang Ge, Biwu Cai, Yang Gao, Zhihao Cheng, Shun Cao, Shuqiang Jiao   +6 more
doaj   +1 more source

Convection-Diffusion-Adsorption Model for the Description of the Analyte-Binding Reactions on a Membrane

The performance of many biomedical assays strongly depends on the transport of analyte molecules to the surface where the binding reactions occur. In some experimental systems, liquid flow can drastically improve the detection limit and decrease the ...
K. A. Prusakov (17774620), D. V. Bagrov (17774623)   +1 more
core   +1 more source

On the Generalized Fractional Convection–Diffusion Equation with an Initial Condition in ${\mathbb{R}}^{\mathit{n}}$

Fractal and Fractional
Time-fractional convection–diffusion equations are significant for their ability to model complex transport phenomena that deviate from classical behavior, with numerous applications in anomalous diffusion, memory effects, and nonlocality.
Chenkuan Li, Reza Saadati, Safoura Rezaei Aderyani, Min-Jie Luo   +3 more
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EXACT SOLUTIONS OF THE ONE-DIMENSIONAL CONVECTION-DIFFUSION EQUATION USING LIE GROUP METHOD [PDF]

Assiut University Journal of Multidisciplinary Scientific Research, 2017
Lie symmetry group analysis is applied to determine the exact solution of the one-dimensional convection-diffusion equation.  The similarity transformation is found using symmetries, and the invariant solution of the original partial differential ...
doaj   +1 more source

Convection–diffusion equations in a circle: The compatible case

Journal de Mathématiques Pures et Appliquées, 2011
The authors consider the following 2D singular perturbation problem \[ \begin{cases}-\varepsilon \Delta u^{\varepsilon}-\partial_y u^{\varepsilon}=f(x,y) &\text{in } D,\\ u^{\varepsilon}=0 &\text{on } \partial D,\end{cases}\tag{E} \] where \(D\) is the unit disc \(D=\{(x,y): x^2+y^2\leq 1\}\). They study the convergence of the family \(u^{\varepsilon}\)
Jung, Chang-Yeol, Temam, Roger
openaire   +3 more sources