Title
On Solutions Of Some Non-Linear Differential Equations Arising In Third Grade Fluid Flows
Abstract
Numerical solutions for a class of non-linear second order differential equations arising in third grade fluid flows between rotating cylinders are obtained. Furthermore, using the Schauder theory and perturbation technique, existence, uniqueness and analyticity results are established. Moreover, the exact analytical solutions (in integral form) are obtained and are compared with the corresponding numerical solutions. The results obtained for the flow characteristics reveal many interesting behaviors that warrant further study of the effects of rotation on the flow characteristics. © 2002 Elsevier Science Ltd. All rights reserved.
Publication Date
9-1-2002
Publication Title
International Journal of Engineering Science
Volume
40
Issue
16
Number of Pages
1791-1805
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/S0020-7225(02)00070-8
Copyright Status
Unknown
Socpus ID
0036723120 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/0036723120
STARS Citation
Vajravelu, K.; Cannon, J. R.; and Rollins, D., "On Solutions Of Some Non-Linear Differential Equations Arising In Third Grade Fluid Flows" (2002). Scopus Export 2000s. 2471.
https://stars.library.ucf.edu/scopus2000/2471