Entropy generation analysis of radiative heat transfer in Williamson fluid flowing in a microchannel with nonlinear mixed convection and Joule heating
- Title
- Entropy generation analysis of radiative heat transfer in Williamson fluid flowing in a microchannel with nonlinear mixed convection and Joule heating
- Creator
- Mahanthesh B.; Srinivas Reddy C.; Srikantha N.; Lorenzini G.
- Description
- In this article, the spectral quasi-linearization (SQLM) method is implemented to solve the complicated differential equations governing the nonlinear mixed convective heat transfer of a Williamson fluid through a vertical microchannel. Unlike the conventional Boussinesq approximation, the quadratic Boussinesq approximation is taken into account in the formulation. The effects of Rosseland thermal radiation, Joule heating, and viscous dissipation are described in the thermal analysis subjected to the boundary conditions of convective thermal heating. The analysis of entropy production is also performed. The importance of various parameters governing velocity, Bejan number, temperature, and entropy generation was explored using graphic illustrations. It was found that the nonlinear density change with a temperature significantly affects the heat transport in the microchannel and thus increases the magnitude of the Bejan number and the production of entropy. Entropy production occurs maximum due to the boundary conditions of convection heating at the walls of the microchannel. Furthermore, due to a stronger viscous heating mechanism, the magnitude of the Bejan number is reduced, while the production of entropy increases significantly. As a limiting case of the problem, a comparison was made with results previously published in the literature and excellent agreement was established. The calculations provide a solid reference point for future CFD models and are relevant to the dynamics of polymers in microfluidic devices and the polymer industries. IMechE 2022.
- Source
- Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering
- Date
- 2022-01-01
- Publisher
- SAGE Publications Ltd
- Subject
- irreversibility analysis; microchannel flow; nonlinear boussinesq approximation; spectral quasi-linearization method; thermal radiation; williamson fluid
- Coverage
- Mahanthesh B., Centre of Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Karnataka, Bangalore, 560029, India; Srinivas Reddy C., Department of Mathematics, Government Degree College, Telangana, Jangaon, India; Srikantha N., Department of Mathematics, MS Ramaiah Institute of Technology, Bengaluru, 560054, India; Lorenzini G., Department of Engineering and Architecture, University of Parma, Parco Area Delle Scienze 181/A, Parma, 43124, Italy
- Rights
- Restricted Access
- Relation
- ISSN: 9544089; CODEN: PMEEE
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Mahanthesh B.; Srinivas Reddy C.; Srikantha N.; Lorenzini G., “Entropy generation analysis of radiative heat transfer in Williamson fluid flowing in a microchannel with nonlinear mixed convection and Joule heating,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/15467.