NDLI: A study of an arbitrary Stokes flow past a fluid coated sphere in a fluid of a different viscosity

Content Provider	Springer Nature Link
Author	Choudhuri, Debarjoyti Sri Padmavati, B.
Copyright Year	2010
Abstract	A general method to discuss the problem of an arbitrary Stokes flow (both axisymmetric and non-axisymmetric flows) of a viscous, incompressible fluid past a sphere with a thin coating of a fluid of a different viscosity is considered. We derive the expressions for the drag and torque experienced by the fluid coated sphere and also discuss the conditions for the reduction of the drag on the fluid coated sphere. In fact, we show that the drag reduces compared to the drag on a rigid sphere of the same radius when the unperturbed velocity is either harmonic or purely biharmonic, i.e., of the form $${r^2\vec{\textbf{v}}}$$ , where $${\vec{\textbf{v}}}$$ is a harmonic function. Previously Johnson (J Fluid Mech 110:217–238, 1981), who considered a uniform flow showed that the drag on the fluid coated sphere reduces compared to the drag on the uncoated sphere when the ratio of the surrounding fluid viscosity to the fluid-film viscosity is greater than 4. We show that this result is true when the undisturbed velocity is harmonic or purely biharmonic, uniform flow being a special case of the former. However, we illustrate by an example that the drag may increase in a general Stokes flow even if this ratio is greater than 4. Moreover, when the unperturbed velocity is harmonic or purely biharmonic, and the ratio of the surrounding fluid viscosity to the fluid-film viscosity is greater than 4 for a fixed value of the viscosity of the ambient fluid, we determine the thickness of the coating for which the drag is minimum.
Ending Page	328
Page Count	12
Starting Page	317
File Format	PDF
ISSN	00442275
e-ISSN	14209039
Journal	Zeitschrift für angewandte Mathematik und Physik
Issue Number	2
Volume Number	61
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2010-01-20
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mathematical Methods in Physics Fluid coated sphere Stokes and related (Oseen, etc.) flows Theoretical and Applied Mechanics Stokes flow
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Physics and Astronomy

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

A new approximate analytical solution for arbitrary Stokes flow past rigid bodies

Flow past a porous approximate spherical shell

Stokes flow response to a localised change in interfacial tension

Fluid Flow Equations with Variable Viscosity in Quaternionic Setting

Stokes flow in a junction of two-dimensional orthogonal channels

A benchmark solution for 2D Stokes flow over cavity

Stokes flow inside a porous spherical shell: Stress jump boundary condition

Stokes flow of an assemblage of porous particles: stress jump condition

Stokes flow in a two-dimensional micro-device combined by a cross-slot and a microfluidic four-roll mill

A study of an arbitrary Stokes flow past a fluid coated sphere in a fluid of a different viscosity

Similar Documents

A new approximate analytical solution for arbitrary Stokes flow past rigid bodies

Flow past a porous approximate spherical shell

Stokes flow response to a localised change in interfacial tension

Fluid Flow Equations with Variable Viscosity in Quaternionic Setting

Stokes flow in a junction of two-dimensional orthogonal channels

A benchmark solution for 2D Stokes flow over cavity

Stokes flow inside a porous spherical shell: Stress jump boundary condition

Stokes flow of an assemblage of porous particles: stress jump condition

Stokes flow in a two-dimensional micro-device combined by a cross-slot and a microfluidic four-roll mill

A study of an arbitrary Stokes flow past a fluid coated sphere in a fluid of a different viscosity