Differential transform solution for hall and ion slip effects on radiative-convective casson flow from a stretching sheet with convective heating

Bhatti, MM; Khan, SU; Beg, OA; Kadir, A

Abstract

Magnetohydrodynamic (MHD) materials processing is becoming increasingly popular in the 21st
century since it offers significant advantages over conventional systems including improved
manipulation of working fluids, reduction in wear and enhanced sustainability. Motivated by these
developments, the present work develops a mathematical model for Hall and Ion slip effects on
non-Newtonian Casson fluid dynamics and heat transfer towards a stretching sheet with a
convective heating boundary condition under a transverse magnetic field. The governing
conservation equations for mass, linear momentum and thermal (energy) are simplified with the
aid of similarity variables and Ohm’s law. The emerging nonlinear coupled ordinary differential
equations are solved with an analytical technique known as the differential transform method
(DTM). The impact of different emerging parameters is presented and discussed with the help of
graphs and tables. Generally aqueous electro-conductive polymers are considered for which a
Prandtl number of 6.2 is employed. With increasing Hall parameter and ion slip parameter the flow
is accelerated whereas it is decelerated with greater magnetic parameter and rheological (Casson)
fluid parameter. Skin friction is also decreased with greater magnetic field effect whereas it is
increased with stronger Hall parameter and ion slip parameter values.

Citation

Bhatti, M., Khan, S., Beg, O., & Kadir, A. (2020). Differential transform solution for hall and ion slip effects on radiative-convective casson flow from a stretching sheet with convective heating. Heat Transfer - Asian Research, 49(2), 872-888. https://doi.org/10.1002/htj.21643

• Journal Article Type: Article
• Acceptance Date: Nov 29, 2019
• Online Publication Date: Dec 16, 2019
• Publication Date: Feb 12, 2020
• Deposit Date: Dec 2, 2019
• Publicly Available Date: Dec 16, 2020
• Journal: Heat Transfer - Asian Research
• Print ISSN: 1099-2871
• Electronic ISSN: 1523-1496
• Publisher: Wiley
• Volume: 49
• Issue: 2
• Pages: 872-888
• DOI: https://doi.org/10.1002/htj.21643
• Publisher URL: https://doi.org/10.1002/htj.21643
• Related Public URLs: https://onlinelibrary.wiley.com/journal/15231496
• Additional Information: Access Information : This is the peer reviewed version of the following article: Bhatti, MM, Ullah Khan, S, Anwar Bég, O, Kadir, A. Differential transform solution for Hall and ion‐slip effects on radiative‐convective Casson flow from a stretching sheet with convective heating. Heat Transfer. 2020; 49: 872– 888., which has been published in final form at https://doi.org/10.1002/htj.21643. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.