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In this study, it was formulated the boundary-value-problem (BVP), comprising partial differential equations (PDEs), of steady flow for plane, laminar jet of a micropolar fluid. A new similarity transformation/solution was derived which is…

流体动力学 · 物理学 2015-11-04 Abuzar Abid Siddiqui

In the present work we formulated the boundary-value-problem, comprising partial differential equations (PDEs) of steady flow for laminar/turbulent circular jet of a micropolar fluid. A new boundary layer-similarity transformation/solution…

流体动力学 · 物理学 2016-04-19 Abuzar Abid Siddiqui

In this paper, we formulated the non-steady flow due to the uniformly accelerated and rotating circular cylinder from rest in a stationary, viscous, incompressible and micropolar fluid. This flow problem is examined numerically by adopting…

流体动力学 · 物理学 2016-04-25 Abuzar Abid Siddiqui

In this paper we study the existence of solutions to a steady system that describes the motion of a micropolar electrorheological fluid. The constitutive relations for the stress tensors belong to the class of generalized Newtonian fluids.…

偏微分方程分析 · 数学 2021-12-16 Alex Kaltenbach , Michael Růžička

Near-critical thermodynamics in the hard-sphere (1,1) electrolyte is well described, at a classical level, by Debye-Hueckel (DH) theory with (+,-) ion pairing and dipolar-pair-ionic-fluid coupling. But DH-based theories do not address…

凝聚态物理 · 物理学 2009-10-28 Benjamin P. Lee , Michael E. Fisher

The paper deals with a theoretical study of electrokinetic flow of a rheological Herschel-Bulkley fluid through a cylindrical tube of variable cross-section. The concern of this study is to analyze combined pressure-driven and…

流体动力学 · 物理学 2023-12-22 S. Maiti , S. K. Pandey , J. C. Misra

We study a three-dimensional, incompressible, viscous, micropolar fluid with anisotropic microstructure on a periodic domain. Subject to a uniform microtorque, this system admits a unique nontrivial equilibrium. We prove that when the…

偏微分方程分析 · 数学 2024-02-14 Antoine Remond-Tiedrez , Ian Tice

In this paper we concern ourselves with an incompressible, viscous, isotropic, and periodic micropolar fluid. We find that in the absence of forcing and microtorquing there exists an infinite family of well-behaved solutions, which we call…

偏微分方程分析 · 数学 2020-01-22 Noah Stevenson , Ian Tice

New fundamental solutions for micropolar fluids are derived in explicit form for two- and three-dimensional steady unbounded Stokes and Oseen flows due to a point force and a point couple, including the two-dimensional micropolar Stokeslet,…

流体动力学 · 物理学 2014-03-03 Jian-Jun Shu , Jenn Shiun Lee

The existing polar continuum theory contains unresolved indeterminacies in the spherical part of the couple-stress tensor. This severely restricts its applicability in the study of micro and nano-scale solid and fluid mechanics and, perhaps…

流体动力学 · 物理学 2010-09-17 Ali R. Hadjesfandiari , Gary F. Dargush

The pressure-driven flow of a suspension of spinning particles in a rectangular channel is studied using an acoustic method. The suspension is made of insulating particles (PMMA) dispersed in a slightly conducting oil (Ugilec + Dielec) and…

经典物理 · 物理学 2010-02-19 Peters François , Laurent Lobry , Elisabeth Lemaire

Thermal fluctuations, geometric exclusion, and external driving all govern the mechanical response of dense particulate suspensions. Here, we measure the stress-strain response of quasi-two-dimensional flow-stabilized microsphere heaps in a…

软凝聚态物质 · 物理学 2014-07-22 Carlos P. Ortiz , Karen E. Daniels , Robert Riehn

The steady, asymmetric and two-dimensional flow of viscous, incompressible micropolar fluid through a rectangular channel with a splitter (parallel to walls) was formulated and simulated numerically. The plane Poiseuille flow was considered…

流体动力学 · 物理学 2016-05-10 Abuzar Abid Siddiqui

We examine the translation and rotation of an uncharged spheroidal colloid in polar solvents (water) near a charged flat surface. We solve the nonlinear Poisson-Boltzmann equation outside of the colloid in two dimensions for all tilt angles…

软凝聚态物质 · 物理学 2019-10-16 Yoav Tsori

We consider a micropolar fluid flow in a media perforated by periodically distributed obstacles of size $\varepsilon$. A non-homogeneous boundary condition for microrotation is considered: the microrotation is assumed to be proportional to…

偏微分方程分析 · 数学 2025-12-19 Francisco J. Suárez-Grau

Motivated by lubrication problems, we consider a micropolar uid ow in a 2D domain with a rough and free boundary. We assume that the thickness and the roughness are both of order 0 < " << 1. We prove the existence and uniqueness of a…

偏微分方程分析 · 数学 2013-09-20 Mahdi Boukrouche , Laetitia Paoli

We study the flow of a micropolar fluid in a thin domain with microstructure, i.e. a thin domain with thickness $\varepsilon$ which is perforated by periodically distributed solid cylinders of size $a_\varepsilon$. A main feature of this…

偏微分方程分析 · 数学 2025-12-17 Francisco J. Suárez-Grau

In this paper, we study the existence of weak solutions to a steady system that describes the motion of a micropolar electrorheological fluid. The constitutive relations for the stress tensors belong to the class of generalized Newtonian…

偏微分方程分析 · 数学 2021-12-16 Alex Kaltenbach , Michael Růžička

Stress-induced fluidization of a simple yield stress fluid, namely a carbopol microgel, is addressed through extensive rheological measurements coupled to simultaneous temporally and spatially resolved velocimetry. These combined…

软凝聚态物质 · 物理学 2015-03-17 Thibaut Divoux , Catherine Barentin , Sébastien Manneville

We provide an explicit analytical solution of the planar Poiseuille flow of a viscoplastic fluid governed by the constitutive equation proposed by De Kee and Turcotte (Chem. Eng. Commun. 6 (1980) 273-282). Formulae for the velocity and the…

流体动力学 · 物理学 2024-01-08 Alexandros Syrakos , Aggelos Charalambous , Georgios C. Georgiou
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