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International Journal of Mathematical Research

February 2016, Volume 5, 2, pp 138-153

MHD Flow of a Nanofluid at the Forward Stagnation Point of an Infinite Permeable Wall with a Convective Boundary Condition

Siti Hidayah Muhad Saleh


Norihan Md Arifin


Roslinda Mohd Nazar


Ioan Pop

Siti Hidayah Muhad Saleh 1

Norihan Md Arifin 2
Roslinda Mohd Nazar 3
Ioan Pop 4

  1. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia 1

  2. Institute For Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia; Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia 2

  3. School of Mathematical Sciences, Faculty of Science and Technology, UniversitiKebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia 3

  4. Department of Mathematics, BabeÅŸ-Bolyai University, R-400084 Cluj-Napoca, Romania 4

Pages: 138-153

DOI: 10.18488/journal.24/2016.5.2/

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Article History:

Received: 17 May, 2016
Revised: 15 June, 2016
Accepted: 20 September, 2016
Published: 02 November, 2016


The steady magnetohydrodynamic (MHD) flow of a nanofluid at the forward stagnation point of an infinite permeable wall is investigated in this study. A mathematical model has been constructed and the governing partial differential equations are converted into ordinary differential equations by similarity transformation. The similarity equations are solved numerically by a shooting technique. Results for the surface shear stresses, surface heat transfer, and velocity, nanoparticle fraction and temperature profiles are presented in tables and in some graphs. Effects of the magnetic parameter  , constant mass flux   Biot number  , Brownion  motion parameter  thermophoresis parameter   and Lewis number   are examined. The present results are compared with previously available numerical results obtained using other methods of solution, and they are found to be in good agreement.
Contribution/ Originality
This study documents important features of MHD stagnation point flow with the effect of convective boundary condition also suction and injection. The paper's contribution is finding that the development of skin friction, heat flux and mass flux, with the velocity, temperature and nanoparticle fraction profiles, in tables and graphs.


MHD flow, Nanofluid, Stagnation point, Infinite permeable wall, Numerical solution.



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This study received no specific financial support.

Competing Interests:

The authors declare that they have no competing interests.


All authors contributed equally to the conception and design of the study. The authors gratefully acknowledge the financial supports received in the form of research grant fund from the Ministry of Higher Education, Malaysia.

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