Computation of couple stress electroconductive polymer from an exponentially stretching sheet

Umavathi, J C; Sankar, M; Bég, O. Anwar; Chamkha, Ali J.

Abstract

Magnetic polymer processing involves multiple physical phenomena and requires simultaneous consideration of rheological, hydromagnetic and thermal characteristics. Inspired by new developments in functional magnetic coating dynamics, the present article investigates the viscous magnetohydrodynamic non-Newtonian boundary layer flow of an incompressible, electrically conducting, couple stress, electroconductive polymer from an exponentially stretching sheet. The nonlinear boundary value problem is solved numerically by adopting shooting technique and bvp4c algorithm available in MATLAB software. Validation with the Adams-Moulton 2-step predictor corrector algorithm is included. The effects of non-Newtonian couple stress parameter, magnetic interaction number, mixed convection parameter, slip parameter, Prandtl and Eckert number on the primary and secondary velocities and temperature fields are visualized graphically. Greater hydrodynamic slip effect initially boosts the primary velocity near the wall but thereafter induces a decrement in it. However, a consistent improvement in secondary velocity is computed for greater slip parameter. Increasing Hall parameter strongly accelerates the secondary flow but only weakly accelerates the primary flow. Increasing magnetic interaction number decelerates the primary and secondary flow. Elevating magnetic number promotes the thermal boundary layer thickness and also the temperature. Couple stress effects generally accelerate both the primary and secondary flow.

Citation

Umavathi, J. C., Sankar, M., Bég, O. A., & Chamkha, A. J. (2023). Computation of couple stress electroconductive polymer from an exponentially stretching sheet. #Journal not on list, 86, 75-89. https://doi.org/10.1016/j.cjph.2023.10.002

• Journal Article Type: Article
• Acceptance Date: Sep 29, 2023
• Online Publication Date: Oct 5, 2023
• Publication Date: Oct 15, 2023
• Deposit Date: Oct 4, 2023
• Publicly Available Date: Oct 6, 2025
• Journal: Chinese Journal of Physics
• Electronic ISSN: 2309-9097
• Peer Reviewed: Peer Reviewed
• Volume: 86
• Pages: 75-89
• DOI: https://doi.org/10.1016/j.cjph.2023.10.002
• Keywords: Magnetic polymers; rheology; Polar couple stress model; Hall current; Ohmic dissipation; viscous heating; exponential stretching; heat transfer; primary and secondary flow; MATLAB