An MHD couple stress fluid due to a perforated sheet undergoing linear stretching with heat transfer

Hill, A. A.; Mahabaleshwar, U. S.; Sarris, I. E.; Hill, Antony A.; Lorenzini, Giulio; Pop, Ioan

Abstract

© 2016 Elsevier Ltd We investigate an MHD couple stress liquid due to a perforated sheet undergoing linear stretching with radiation. The liquid is initially at rest with its activity is restricted by pulling the two sheet ends with parallel and identical forces. The consequential movement of the or else quiescent fluid is consequently generated exclusively by the stirring plate that develops a linearly varied speed with the distance from the slit. In addition to fluid flow, heat transfer with two cases of different boundary conditions from the sheet is considered, the first with prescribed surface temperature and, the second with prescribed heat flux. The arising set of non-linear coupled nonlinear partial differential equations is rehabilitated into non-linear ordinary differential equations and then exact expressions are derived for velocity and by means of a power series method with Kummer's confluent hyper-geometric functions for temperature.

• Journal Article Type: Article
• Acceptance Date: Sep 14, 2016
• Online Publication Date: Sep 28, 2016
• Publication Date: Feb 1, 2017
• Deposit Date: Oct 3, 2016
• Publicly Available Date: Sep 28, 2017
• Journal: International Journal of Heat and Mass Transfer
• Print ISSN: 0017-9310
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 105
• Pages: 157-167
• DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2016.09.040
• Keywords: exact solution, MHD, radiation, stretching sheet, heat transfer, couple stress fluid
• Public URL: https://uwe-repository.worktribe.com/output/902662
• Publisher URL: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2016.09.040
• Contract Date: Oct 3, 2016