Finite element computation of magnetohydrodynamic nanofluid convection from an oscillating inclined plate with radiative flux, heat source and variable temperature effects

Beg, OA; Thumma, T; Sheri, SR

Abstract

The present work describes finite element computations for radiative magnetohydrodynamic convective Newtonian nanofluid flow from an oscillating inclined porous plate with variable temperature. Heat source/sink and buoyancy effects are included in the mathematical model. The problem is formulated by
employing Tiwari-Das nanofluid model and two water - based nanofluids with spherical shaped metal nano particles as copper and alumina are considered. The Brinkman and Maxwell-Garnetts models are used for the dynamic viscosity and effective thermal conductivity of the nanofluids respectively. An algebraic flux model, the Rosseland diffusion approximation is adopted to simulate thermal radiative flux effects. The dimensionless, coupled governing partial differential equations are numerically solved
via the finite element method with weak variational formulation by imposing initial and boundary conditions with a weighted residual scheme. A grid independence study is also conducted. The finite
element solutions are reduced to known previous solutions in some limiting cases of the present investigation and are found to be in good agreement with published work. This investigation is relevant to electromagnetic nanomaterial manufacturing processes operating at high temperatures where radiation heat transfer is significant.

Citation

Beg, O., Thumma, T., & Sheri, S. (2017). Finite element computation of magnetohydrodynamic nanofluid convection from an oscillating inclined plate with radiative flux, heat source and variable temperature effects. Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems, 231(4), 179-194. https://doi.org/10.1177/2397791417731452

• Journal Article Type: Article
• Acceptance Date: Jun 2, 2017
• Online Publication Date: Sep 25, 2017
• Publication Date: Sep 25, 2017
• Deposit Date: Jun 5, 2017
• Publicly Available Date: Sep 28, 2017
• Journal: Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems
• Print ISSN: 2397-7914
• Electronic ISSN: 2397-7922
• Publisher: SAGE Publications
• Volume: 231
• Issue: 4
• Pages: 179-194
• DOI: https://doi.org/10.1177/2397791417731452
• Publisher URL: http://dx.doi.org/10.1177/2397791417731452
• Related Public URLs: http://journals.sagepub.com/home/pin