Steady Flow of Burgers’ Nanofluids over a Permeable Stretching/Shrinking Surface with Heat Source/Sink

Mathematics

Siti Suzilliana Putri Mohamed Isa¹  Ioan Pop²  Rusya Iryanti Yahaya³  Fadzilah Md Ali³  Norihan Md Arifin³ 

[1] Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia, Serdang 43400, Selangor, Malaysia;Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania;Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Selangor, Malaysia;

关键词: Burgers’ nanofluid;    permeable surface;    heat source/sink;    numerical results;   

DOI  :  10.3390/math10091580

来源: DOAJ

【 摘 要 】

An engineered fluid, called nanofluid, is expected to have better thermal conductivity than conventional working fluids. The superior heat transfer performance and various possible applications promote the analysis of nanofluids in different flow geometries. This paper studies the flow of non-Newtonian Burgers’ nanofluids over a permeable stretching/shrinking surface with a heat source/sink. In the current study, we highlight the use of the single-phase nanofluid model in studying the boundary layer flow. The basic partial differential equations are transformed into ordinary (similarity) differential equations. Then, the resulting equations and boundary conditions are solved numerically in MATLAB using the bvp4c package. Triple solutions are presented, and stability analysis certifies that the first solution is physically realizable in practice. It is found that the increment of the heat source parameter raised the temperature profile of the nanofluids. Al₂O₃/H₂O and Cu/H₂O nanofluids produced the highest skin friction coefficient in the flow over stretching and shrinking surfaces, respectively. Meanwhile, Cu/H₂O nanofluid showed a better heat transfer performance when compared to Al₂O₃/H₂O and TiO₂/H₂O nanofluids. The present study is novel and could serve as a reference to other researchers for further analysis of heat transfer performance and the rheological behavior of nanofluids.

【 授权许可】

Unknown