Motion of a permeable shell in a spherical container filled with non-Newtonian fluid

This paper presents an analytical study of creeping motion of a permeable sphere in a spherical container filled with a micro-polar fluid. The drag experienced by the permeable sphere when it passes through the center of the spherical container is studied. Stream function solutions for the flow fiel...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and mechanics 2017-12, Vol.38 (12), p.1697-1708
Main Authors: Mishra, V., Gupta, B. R.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Bessel functions
Cases (containers)
Classical Mechanics
Containers
Drag
Flow velocity
Fluid- and Aerodynamics
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Newtonian fluids
Non Newtonian fluids
Partial Differential Equations
Permeability
Shear stress
Spherical shells
Stream functions (fluids)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents an analytical study of creeping motion of a permeable sphere in a spherical container filled with a micro-polar fluid. The drag experienced by the permeable sphere when it passes through the center of the spherical container is studied. Stream function solutions for the flow fields are obtained in terms of modified Bessel functions and Gegenbauer functions. The pressure fields, the micro-rotation components, the drag experienced by a permeable sphere, the wall correction factor, and the flow rate through the permeable surface are obtained for the frictionless impermeable spherical container and the zero shear stress at the impermeable spherical container. Variations of the drag force and the wall correction factor with respect to different fluid parameters are studied. It is observed that the drag force, the wall correction factor, and the flow rate are greater for the frictionless impermeable spherical container than the zero shear stress at the impermeable spherical container. Several cases of interest are deduced from the present analysis.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-017-2287-8