Journal ArticleDOI
Drag on an axially symmetric body in the Stokes’ flow of micropolar fluid
H. Ramkissoon,S. R. Majumdar +1 more
Reads0
Chats0
TLDR
In this article, the Stokes flow problem is considered for micropolar fluids in which the obstacle has an axis of symmetry, and the flow at distant points is uniform and parallel to this axis.Abstract:
The Stokes’ flow problem is considered for micropolar fluids in which the obstacle has an axis of symmetry, and the flow at distant points is uniform and parallel to this axis. A general expression for the drag is derived by using the arguments involving an axisymmetric point force and application is illustrated for the flow past a sphere.read more
Citations
More filters
Journal ArticleDOI
Non-equilibrium thermodynamics of interfacial systems
TL;DR: In this article, the theory of non-equilibrium thermodynamics is applied to a multi-component system containing an interface using a method developed by Bedeaux, Albano, and Mazur.
Journal ArticleDOI
Drag on spheres in micropolar fluids with non-zero boundary conditions for microrotations
TL;DR: In this paper, the Stokes formula for the resistance force exerted on a sphere moving with constant velocity in a fluid is extended to the case of micropolar fluids, and a non-homogeneous boundary condition for the micro-rotation vector is used: the microrotation on the boundary of the sphere is assumed proportional to the rotation rate of the velocity field.
Journal ArticleDOI
Slip at the surface of a sphere translating perpendicular to a plane wall in micropolar fluid
TL;DR: In this paper, the Stokes axisymmetrical flow caused by a sphere translating in a micropolar fluid perpendicular to a plane wall at an arbitrary position from the wall is presented using a combined analytical-numerical method.
Journal ArticleDOI
A micropolar-Newtonian blood flow model through a porous layered artery in the presence of a magnetic field
Sneha Jaiswal,Pramod Kumar Yadav +1 more
TL;DR: In this article, the authors presented a two-phase model of blood flow through a porous layered artery in the presence of a uniform magnetic field, and analyzed the effects of various flow parameters on the two-fluid model.
Journal ArticleDOI
Steady motion of Bingham liquid plugs in two-dimensional channels
Abstract: We study numerically the steady creeping motion of Bingham liquid plugs in two-dimensional channels as a model of mucus behaviour during airway reopening in pulmonary airways. In addition to flow analysis related to propagation of the plug, the stress distribution on the wall is studied for better understanding of potential airway epithelial cell injury mechanisms. The yield stress behaviour of the fluid was implemented through a regularized constitutive equation. The capillary number, , and the Bingham number, , which is the ratio of the yield stress to a characteristic viscous stress, varied over the ranges 0.025–0.1 and 0–1.5, respectively. For the range of parameters studied, it was found that, while the yield stress reduces the magnitude of the shearing along the wall, it can magnify the amplitude of the wall shear stress gradient significantly, and also it can elevate the magnitude of the wall shear stress and wall pressure gradient up to 30 % and 15 %, respectively. Therefore, the motion of mucus plugs can be more damaging to the airway epithelial cells due to the yield stress properties of mucus. The yield stress also modifies the profile of the plug where the amplitude of the capillary waves at the leading meniscus decreases with increase in . Other findings are that: the thickness of the static film increases with increasing ; the driving pressure difference increases linearly with ; and increasing extends any wall stagnation point beneath the leading meniscus to an unyielded line segment beneath the leading meniscus. With an increase in , the unyielded areas appear and grow in the adjacent wall film as well as the core region of the plug between the two menisci. The plug length, , mostly modifies the topology of the yield surfaces. It was found that the unyielded area in the core region between the two menisci grows as the plug length decreases. The very short Bingham plug behaves like a solid lamella. In all computed liquid plugs moving steadily, the von Mises stress attains its maximum value near the interface of the leading meniscus in the transition region. For Bingham plugs moving very slowly, , the driving pressure is non-zero.
References
More filters
Book
Low Reynolds number hydrodynamics
John Happel,Howard Brenner +1 more
TL;DR: Low Reynolds number flow theory finds wide application in such diverse fields as sedimentation, fluidization, particle-size classification, dust and mist collection, filtration, centrifugation, polymer and suspension rheology, and a host of other disciplines.
Book
Vectors, Tensors and the Basic Equations of Fluid Mechanics
TL;DR: Vectors, tensors and the basic equations of fluid mechanics as discussed by the authors, Vectors and tensors, and the Basic Equations of Fluid Mechanics, and their basic equations.