An analytical study of weakly nonlinear dynamics of a Walters’ liquid B around a flexible sheet undergoing super linear stretching.

Siddheshwar, P.G.; Chan, A.; Mahabaleswar, U.S.

Abstract

The paper discusses the boundary layer flow of Walters' liquid B over a stretching sheet. The stretching is assumed to be a quadratic function of the coordinate along the direction of stretching. The study encompasses within its realm both Walters' liquid B and second order liquid. The velocity distribution is obtained by solving the nonlinear governing differential equation. Analytical expressions are obtained for stream function and velocity components as functions of the viscoelastic and stretching related parameters. It is shown that the viscoelasticity goes hand in hand with quadratic stretching in enhancing the lifting of the liquid as we go along the sheet.

Citation

SIDDHESHWAR, P.G., CHAN, A. and MAHABALESWAR, U.S. 2012. An analytical study of weakly nonlinear dynamics of a Walters’ liquid B around a flexible sheet undergoing super linear stretching. ISRN applied mathematics [online], 2012, article ID 782369. Available from: https://doi.org/10.5402/2012/782369

• Journal Article Type: Article
• Acceptance Date: Oct 7, 2011
• Online Publication Date: Jan 15, 2012
• Publication Date: Dec 31, 2012
• Deposit Date: Aug 18, 2023
• Publicly Available Date: Jul 29, 2024
• Journal: ISRN applied mathematics
• Print ISSN: 2090-5564
• Electronic ISSN: 2090-5572
• Publisher: Hindawi
• Peer Reviewed: Peer Reviewed
• Volume: 2012
• Article Number: 782369
• DOI: https://doi.org/10.5402/2012/782369
• Keywords: Walters' liquid B; Viscoelasticity; Quadratic stretching
• Public URL: https://rgu-repository.worktribe.com/output/2044042