Nanofluid Flow on a Shrinking Cylinder with Al 2 O 3 Nanoparticles

Iskandar Waini, Anuar Ishak and Ioan Pop
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Iskandar Waini: Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Melaka 76100, Malaysia
Anuar Ishak: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia UKM, Bangi 43600, Malaysia
Ioan Pop: Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania

Mathematics, 2021, vol. 9, issue 14, 1-13

Abstract: This study investigates the nanofluid flow towards a shrinking cylinder consisting of Al 2 O 3 nanoparticles. Here, the flow is subjected to prescribed surface heat flux. The similarity variables are employed to gain the similarity equations. These equations are solved via the bvp4c solver. From the findings, a unique solution is found for the shrinking strength ? ? ? 1 . Meanwhile, the dual solutions are observed when ? c < ? < ? 1 . Furthermore, the friction factor R e x 1 / 2 C f and the heat transfer rate R e x ? 1 / 2 N u x increase with the rise of Al 2 O 3 nanoparticles ? and the curvature parameter ? . Quantitatively, the rates of heat transfer R e x ? 1 / 2 N u x increase up to 3.87% when ? increases from 0 to 0.04, and 6.69% when ? increases from 0.05 to 0.2. Besides, the profiles of the temperature ? ( ? ) and the velocity f ’ ( ? ) on the first solution incline for larger ? , but their second solutions decline. Moreover, it is noticed that the streamlines are separated into two regions. Finally, it is found that the first solution is stable over time.

Keywords: heat transfer; prescribed heat flux; similarity solutions; dual solutions; stability analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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