Effects of inertia on the deformation of liquid drops in simple shear flow
type: Item
instance of: scholarly article
title: Effects of inertia on the deformation of liquid drops in simple shear flow
zbMATH Open document ID: 0826.76054
DOI: 10.1016/0045-7930(94)00025-T
author: Kapil S. Sheth
author: C. Pozrikidis
published in: Computers and Fluids
publication date: 1995-11-22T00:00:00Z
review text: Simple shear flow past a one-dimensional array of two-dimensional viscous drops with constant surface tension at small and moderate Reynolds numbers up to Re\(=\)100 is considered in a Couette flow device. The deformation of the drops from the initial circular shape is computed using a variation of Peskin's immersed boundary formulation in conjunction with a finite-difference method for solving the equations of two-dimensional incompressible Newtonian flow. The results establish critical capillary and Weber numbers for large elongation and breakup as functions of the Reynolds number.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D45
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 768669
zbMATH Keywords: kinematic structure
zbMATH Keywords: eddy formation
zbMATH Keywords: wall shear stress
zbMATH Keywords: drag force
zbMATH Keywords: vorticity production
zbMATH Keywords: two-dimensional viscous drops
zbMATH Keywords: Couette flow
zbMATH Keywords: Peskin's immersed boundary formulation
zbMATH Keywords: critical capillary and Weber numbers
MaRDI profile type: Publication
cites work: Q4296872
cites work: Motion and deformation of liquid drops, and the rheology of dilute emulsions in simple shear flow
cites work: Finite deformation of liquid capsules enclosed by elastic membranes in simple shear flow
cites work: Numerical solution of free-boundary problems in fluid mechanics. Part 3. Bubble deformation in an axisymmetric straining flow
cites work: Q3770239
cites work: Numerical analysis of blood flow in the heart
cites work: A vortex method for blood flow through heart valves
cites work: Modeling prosthetic heart valves for numerical analysis of blood flow in the heart
cites work: A computational model of aquatic animal locomotion
cites work: Interaction of oscillating filaments: A computational study
cites work: A numerical method for suspension flow
cites work: A front-tracking method for viscous, incompressible multi-fluid flows
cites work: A continuum method for modeling surface tension
cites work: Numerical Solution of the Navier-Stokes Equations
cites work: Boundary Integral and Singularity Methods for Linearized Viscous Flow
cites work: Q4331726
cites work: Q3197537
cites work: Numerical solution of the incompressible, three-dimensional Navier-Stokes equations
cites work: An analysis of the fractional step method
cites work: High-order splitting methods for the incompressible Navier-Stokes equations
cites work: Pressure and time treatment for Chebyshev spectral solution of a Stokes problem
cites work: A three-dimensional computational method for blood flow in the heart. I: Immersed elastic fibers in a viscous incompressible fluid
full work available at URL: 0045-7930(94)00025-t
OpenAlex ID: W2024538525
description: scientific article; zbMATH DE number 768669