Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (3): 507-520.doi: https://doi.org/10.1007/s10483-020-2584-7

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MHD flow and heat transfer of a hybrid nanofluid past a permeable stretching/shrinking wedge

I. WAINI1,2, A. ISHAK2, I. POP3   

  1. 1. Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal 76100, Melaka, Malaysia;
    2. Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia;
    3. Department of Mathematics, Babeş-Bolyai University, Cluj-Napoca 400084, Romania
  • Received:2019-10-14 Revised:2019-12-10 Online:2020-03-01 Published:2020-02-17
  • Contact: A. ISHAK E-mail:anuar_mi@ukm.edu.my
  • Supported by:
    Project supported by the Ministry of Education of Malaysia (No. FRGS/1/2019/STG06/UKM/01/4) and Ministry of Science of Romania (No. PN-III-P4-ID-PCE-2016-0036)

Abstract: The steady flow and heat transfer of a hybrid nanofluid past a permeable stretching/shrinking wedge with magnetic field and radiation effects are studied. The governing equations of the hybrid nanofluid are converted to the similarity equations by techniques of the similarity transformation. The bvp4c function that is available in MATLAB software is utilized for solving the similarity equations numerically. The numerical results are obtained for selected different values of parameters. The results discover that two solutions exist, up to a certain value of the stretching/shrinking and suction strengths. The critical value in which the solution is in existence decreases as nanoparticle volume fractions for copper and wedge angle parameter increase. It is also found that the hybrid nanofluid enhances the heat transfer rate compared with the regular nanofluid. The reduction of the heat transfer rate is observed with the increase in radiation parameter. The temporal stability analysis is performed to analyze the stability of the dual solutions, and it is revealed that only one of them is stable and physically reliable.

Key words: dual solution, hybrid nanofluid, stretching/shrinking wedge, magnetic field, radiation, stability analysis

2010 MSC Number: 

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