Computational study of unsteady couple stress magnetic nanofluid flow from a stretching sheet with ohmic dissipation

Kumar, M, Reddy, GJ, Kumar, NN and Beg, OA ORCID: https://orcid.org/0000-0001-5925-6711 2019, 'Computational study of unsteady couple stress magnetic nanofluid flow from a stretching sheet with ohmic dissipation' , Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems, 233 (2-4) , pp. 49-63.

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Abstract

To provide a deeper insight of the transport phenomena inherent to the manufacturing of magnetic nano-polymer materials, in the present work a mathematical model is developed for time-dependent hydromagnetic rheological nanopolymer boundary layer flow and heat transfer over a stretching sheet in the presence of a transverse static magnetic field. Joule heating (Ohmic dissipation) and viscous heating effects are included since these phenomena arise frequently in magnetic materials processing. Stokes’ couple stress model is deployed to simulate non-Newtonian micro-structural characteristics. The Tiwari-Das nanoscale model is adopted which permits different nano-particles to be simulated (in this article both copper-water and aluminium oxide-water nanofluids are considered). Similarity transformations are utilized to convert the governing partial differential conservation equations into a system of coupled, nonlinear ordinary differential equations with appropriate wall and free stream boundary conditions. The shooting technique is used to solve the reduced nonlinear coupled ordinary differential boundary value problem via MATLAB symbolic software. Validation with published results from the literature is included for the special cases of non-dissipative and Newtonian nanofluid flows. Fluid velocity and temperature profiles for both Copper and Aluminium Oxide (Al2O3) nanofluids are observed to be enhanced with greater non-Newtonian couple stress parameter and magnetic parameter whereas the opposite trend is computed with greater values of unsteadiness parameter. The boundary layer flow is accelerated with increasing buoyancy parameter, elastic sheet stretching parameter and convection parameter. Temperatures are generally increased with greater couple stress rheological parameter and are consistently higher for the Aluminium oxide nanoparticle case. Temperatures are also boosted with magnetic parameter and exhibit an overshoot near the wall when magnetic parameter exceeds unity (magnetic force exceeds viscous force). A decrease in temperatures is induced with increasing sheet stretching parameter. Increasing Eckert number elevates temperatures considerably. With greater nanoparticle volume fraction both skin friction and Nusselt number are elevated and copper nano-particles achieve higher magnitudes than aluminium oxide.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering
Journal or Publication Title: Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems
Publisher: SAGE Publications
ISSN: 2397-7914
Related URLs:
Funders: DST-INSPIRE
Depositing User: OA Beg
Date Deposited: 26 Mar 2019 12:55
Last Modified: 24 Jan 2020 08:31
URI: http://usir.salford.ac.uk/id/eprint/50638

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