Research Article
Dec 1967
Stokes Flow Behavior of an Accelerating Sphere
This article has a reply.
VIEW THE REPLYThis article has a reply.
VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 93, Issue 6
Abstract
The relation for the force on a sphere undergoing an arbitrary rectilinear acceleration in a viscous fluid was established by Basset in the late nineteenth century. His derivation is based on neglecting the convective acceleration in the Navier Stokes equations. Basset's integro-differential equation indicates three components to the force: the viscous drag, the force necessary to accelerate the added fluid mass, and a term describing the history of acceleration. Basset's equation is applied to a sphere accelerating due to gravity. Velocity-time and displacement-time relations are obtained, and are presented in terms of tabulated functions. The added mass and history of acceleration terms of the force relation are investigated and found to be significant for all but conditions of quite high ratios of sphere density to fluid density. Displacements and corresponding times are measured for spheres accelerating to low terminal Reynolds numbers. The measured results are found to be in satisfactory agreement with the theory.
Get full access to this article
View all available purchase options and get full access to this article.
Information & Authors
Information
Published In
Journal of the Engineering Mechanics Division
Volume 93 • Issue 6 • December 1967
Pages: 87 - 102
Copyright
© 1967 American Society of Civil Engineers.
History
Published in print: Dec 1967
Published online: Feb 3, 2021
Permissions
Request permissions for this article.
Authors
Affiliations
Allen T. Hjelmfelt Jr., AM.ASCE
Asst. Prof., Dept. of Civ. Engrg., Univ. of Missouri, Columbia, Mo.
Lyle F. Mockros, AM.ASCE
Assoc. Prof., Dept. of Civ. Engrg., Northwestern University, Evanston, Ill.
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.
Cited by
View Options
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.