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, 2020
In the present work, the power-law fluid flow in a channel partially filled with a porous medium is numerically investigated using the lattice Boltzmann method (LBM). The porous domain, placed in the lower half of the channel, is represented according to
Rodrigo Meira +3 more
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In the present work, the power-law fluid flow in a channel partially filled with a porous medium is numerically investigated using the lattice Boltzmann method (LBM). The porous domain, placed in the lower half of the channel, is represented according to
Rodrigo Meira +3 more
semanticscholar +1 more source
Peristaltic Transport of Two-Layered Power-Law Fluids
Journal of Biomechanical Engineering, 1997Peristaltic transport of two-layered power-law fluids in axisymmetric tubes is studied. Use of the power-law fluid model permits independent choice of shear thinning, shear thickening, or Newtonian fluids for the core and the peripheral layer. The interface between the two layers is determined from a transcendental equation in the core radius.
Usha, S, Rao, AR
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Simplified lattice Boltzmann method for non‐Newtonian power‐law fluid flows
International Journal for Numerical Methods in Fluids, 2019In this paper, we present a simplified lattice Boltzmann method for non‐Newtonian power‐law fluid flows. The new method adopts the predictor‐corrector scheme and reconstructs solutions to the macroscopic equations recovered from the lattice Boltzmann ...
Zhen Chen, C. Shu
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Nonlinear Analysis: Theory, Methods & Applications, 1985
The paper is concerned with initial boundary value problems for the scalar equation \(u_ t(x,t)+A(u)(x,t)=v(t)\phi (x)\) in \(\Omega\) x(0,T)\(\subset {\mathbb{R}}^ 4,\) where \(A(w)=-\nabla \cdot (| \nabla w|^{p-2}\cdot \nabla w)\), \(\phi\) is given, and v is an L 2-control that is sought to minimize \[ J(v)=\int_{\Omega}| u(\cdot,T)- z(\cdot)| \quad
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The paper is concerned with initial boundary value problems for the scalar equation \(u_ t(x,t)+A(u)(x,t)=v(t)\phi (x)\) in \(\Omega\) x(0,T)\(\subset {\mathbb{R}}^ 4,\) where \(A(w)=-\nabla \cdot (| \nabla w|^{p-2}\cdot \nabla w)\), \(\phi\) is given, and v is an L 2-control that is sought to minimize \[ J(v)=\int_{\Omega}| u(\cdot,T)- z(\cdot)| \quad
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Nonlinear Dynamics of Cattaneo–Christov Heat Flux Model for Third-Grade Power-Law Fluid
, 2019A rigorous analysis of coupled nonlinear equations for third-grade viscoelastic power-law non-Newtonian fluid is presented. Initially, the governing partial differential equations for conservation of energy and momentum are transformed to nonlinear ...
Bhuvnesh Sharma +3 more
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Electrokinetically modulated peristaltic transport of power-law fluids
Microvascular Research, 2016The electrokinetically modulated peristaltic transport of power-law fluids through a narrow confinement in the form of a deformable tube is investigated. The fluid is considered to be divided into two regions - a non-Newtonian core region (described by the power-law behavior) which is surrounded by a thin wall-adhering layer of Newtonian fluid.
Prakash, Goswami +3 more
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Solution of Unsteady Flow of Power Law Fluids
AIAA Journal, 1972The experimental results have verified the linear behavior of the intensity of Raman scattered light as a function of specie concentration. It can be concluded that the technique is capable of identifying and measuring concentrations of individual gaseous species in a mixture during a single 10-nanosec sampling time.
Chen, Tommy Y. W., Wollersheim, David E.
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Interfacial pattern formation in confined power-law fluids
Physical Review E, 2014The interfacial pattern formation problem in an injection-driven radial Hele-Shaw flow is studied for the situation in which a Newtonian fluid of negligible viscosity displaces a viscous non-Newtonian power-law fluid. By utilizing a Darcy-law-like formulation, we tackle the fluid-fluid interface evolution problem perturbatively, and we derive second ...
Rodolfo, Brandão +2 more
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Marangoni convection of power law fluids driven by power-law temperature gradient
Journal of the Franklin Institute, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zheng, Liancun +2 more
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The hydrodynamic behavior of a squirmer swimming in power-law fluid
The Physics of Fluids, 2018The hydrodynamic behavior of a squirmer swimming in the flow of power-law fluid is studied numerically with an immersed boundary-lattice Boltzmann method.
Z. Ouyang, Jianzhong Lin, X. Ku
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