Thermal analysis of melting effect on Carreau fluid flow around a stretchable cylinder with quadratic radiation

Lim Yeou Jiann ^a,*, Ahmad Qushairi Mohamad ^a, Noraihan Afiqah Rawi ^a, Dennis Ling Chaun Ching ^b, Nor Athirah Mohd Zin ^c, Sharidan Shafie ^a

a. Faculty of Science, Department of Mathematical Sciences, UTM 81310 Skudai, Johor Bahru, Johor, Malaysia
         b. Fundamental and Applied Science Department, UTP 32610 Perak, Malaysia
         c. Fakulti Sains Komputer & Matematik, UiTM Kedah, Sungai Petani 08400, Merbok, Kedah, Malaysia

Abstract: The melting phenomenon plays a critical role in optimizing the performance of power storage, electronic cooling, and semiconductor devices. The present study aims to analyze the melting effect on the flow of Carreau fluid over a stretchable cylinder, with special consideration given to the impact of quadratic thermal radiation. Similarity variables and the homotopy analysis method are used to simplify and determine the semi-analytical homotopic solutions of the governing equations. The present findings reveal that the melting parameter increases the heat transfer rate by more than 10% for both fluids, water (Pr=0.71), and polymer (Pr=10). However, as the temperature ratio due to quadratic radiation increases, the local Nusselt number for water has been reduced by 25%, and an even more substantial reduction is observed for the polymer. The present study offers valuable insights into achieving optimal efficiency in electronic devices.

Keywords: Quadratic Thermal radiation; Melting heat transfer; Carreau fluid; Stretching cylinder; Homotopy analysis

https://doi.org/10.1016/j.jppr.2024.02.006