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Estimation of the Largest Lyapunov Exponent for a Model of Cross-Shaped Waves in a Rectangular Channel of Finite Size
The largest Lyapunov exponent characterizes the degree of exponential divergence of close trajectories of a dynamical system. The presence of a...
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Numerical Study of Turbulent Airflow Structure and Transfer of Heat Having Trapezoidal Baffles Attached on the Walls and Centerline of the Rectangular Channel
Numerically, we have studied different characteristics of turbulent air flow (flow structure, axial velocity profiles, dimensionless coefficient of...
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Finite Difference Solutions of 2D Magnetohydrodynamic Channel Flow in a Rectangular Duct
The magnetohydrodynamic (MHD) flow of an electrically conducting fluid is considered in a long channel of rectangular cross-section along with the...
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Optimal placement of the multiple magnetic sources for the MHD flow in a rectangular duct
In this paper, we consider the optimal control of the fully developed, steady, laminar, unidirectional flow of an incompressible electrically...
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Magnetohydrodynamic Mixed Convection in a Vertical Rectangular Cavity with Semi-circular Heat Source and Circular Obstacle
A study of MHD mixed convection in a vertical rectangular cavity with semi-circular heat source and circular obstacle is accomplished numerically. A...
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Worked Out Problem 13: Bifurcating Coanda Effect in a Channel
In this chapter, we consider a vector steady nonlinear PDE modeling the bifurcating Coanda effect for an incompressible flow in a two-dimensional...
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Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations
In this paper, a linearized structure-preserving Galerkin finite element method is investigated for Poisson-Nernst-Planck (PNP) equations. By making...
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Study of the Shallow Water Equations with Variable Bathymetry in a Channel with Flather Open Boundary Condition
We study the variable bathymetry shallow water equations in a channel with a prescribed Flather condition at the open ocean-channel boundary denoted...
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Spectral Analysis of a Vortex Wake Behind a Circular Cylinder in a Channel at Moderate Reynolds Numbers
AbstractDirect numerical simulation is employed to study the complex vortical flow in the wake of a circular cylinder in a rectangular channel at
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Semi-Lagrangian finite element exterior calculus for incompressible flows
We develop a semi-Lagrangian discretization of the time-dependent incompressible Navier-Stokes equations with free boundary conditions on arbitrary...
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Existence and uniqueness result for a fluid–structure–interaction evolution problem in an unbounded 2D channel
In an unbounded 2D channel, we consider the vertical displacement of a rectangular obstacle in a regime of small flux for the incoming flow field,...
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Vortex Patterns in a Cross Flow Past a Cylinder Near the Channel Wall at Moderate Reynolds Numbers
AbstractPhysical experiment and direct numerical simulation are employed to study a transitional flow of viscous fluid past a spanwise circular...
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Three-Dimensional Simulation of Singleand Multi-Phase Flows in Roughness Microchannels
AbstractTo predict the behavior of reservoir fluids in porous media and their investigation at the macroscopic level, it is necessary to study in...
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A new mathematical technique for analysis of internal viscoplastic flows through rectangular ducts
The flow of Bingham materials inside rectangular channels is characterized by a plug region located in the central region of the conduit and four...
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Numerical Simulations of Waves Breaking over a Rectangular Submerged Reef Consisting of a Double Step: Analogies with massive Natural Wave Breaking over Abrupt Bathymetries
The aim of this article is not to study any practical design for a breakwater device nor to show the evidence of a particular event when waves break...
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Numerical Analysis of Fluid Flow Behaviour in Four-Sided Square Lid-Driven Cavity Using the Finite Volume Technique
In the present study, numerical simulations of two-dimensional steady-state incompressible Newtonian fluid flow in one-sided and four-sided...
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Flow Regimes of a Liquid Film Carried Away by a Gas Flow in a Flat Horizontal Channel under Isothermal Conditions
AbstractA three-dimensional mathematical model of the flow of a liquid film carried away by a gas flow in a flat horizontal minichannel under...
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KdV Equation Model in Open Cylindrical Channel under Precession
A new model for Korteweg and de-Vries equation (KdV) is derived. The system under study is an open channel consisting of two concentric cylinders,...
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Transparent Boundary Conditions for the Wave Equation in a Channel of Circular Section
AbstractA method is proposed for calculating the coefficients of the operator of transparent boundary conditions (TBC) for the wave equation in a...
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High-Order CENO Finite-Volume Scheme with Anisotropic Adaptive Mesh Refinement: Efficient Inexact Newton Method for Steady Three-Dimensional Flows
A high-order finite-volume scheme with anisotropic adaptive mesh refinement (AMR) is combined with a parallel inexact Newton method for the solution...
