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Influence of Magnetic Field in Three-Dimensional Flow of Couple Stress Nanofluid over a Nonlinearly Stretching Surface with Convective Condition

Author

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  • Tasawar Hayat
  • Arsalan Aziz
  • Taseer Muhammad
  • Bashir Ahmad

Abstract

This article investigates the magnetohydrodynamic (MHD) three-dimensional flow of couple stress nanofluid subject to the convective boundary condition. Flow is generated due to a nonlinear stretching of the surface in two lateral directions. Temperature and nanoparticles concentration distributions are studied through the Brownian motion and thermophoresis effects. Couple stress fluid is considered electrically conducting through a non-uniform applied magnetic field. Mathematical formulation is developed via boundary layer approach. Nonlinear ordinary differential systems are constructed by employing suitable transformations. The resulting systems have been solved for the convergent series solutions of velocities, temperature and nanoparticles concentration profiles. Graphs are sketched to see the effects of different interesting flow parameters on the temperature and nanoparticles concentration distributions. Numerical values are computed to analyze the values of skin-friction coefficients and Nusselt number.

Suggested Citation

  • Tasawar Hayat & Arsalan Aziz & Taseer Muhammad & Bashir Ahmad, 2015. "Influence of Magnetic Field in Three-Dimensional Flow of Couple Stress Nanofluid over a Nonlinearly Stretching Surface with Convective Condition," PLOS ONE, Public Library of Science, vol. 10(12), pages 1-18, December.
    • Handle: RePEc:plo:pone00:0145332
    DOI: 10.1371/journal.pone.0145332
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    Cited by:

    1. Samuel Olumide Adesanya & Tunde Abdulkadir Yusuf & Ramoshweu Solomon Lebelo, 2022. "Numerical Investigation of the Magnetized Reactive Viscous Couple Stress Fluid Flow Down an Inclined Riga Plate with Variable Viscosity," Mathematics, MDPI, vol. 10(24), pages 1-15, December.
    2. Tasawar Hayat & Arsalan Aziz & Taseer Muhammad & Ahmed Alsaedi, 2017. "Model and Comparative Study for Flow of Viscoelastic Nanofluids with Cattaneo-Christov Double Diffusion," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-19, January.
    3. Asad Ullah & Ikramullah & Mahmoud M. Selim & Thabet Abdeljawad & Muhammad Ayaz & Nabil Mlaiki & Abdul Ghafoor, 2021. "A Magnetite–Water-Based Nanofluid Three-Dimensional Thin Film Flow on an Inclined Rotating Surface with Non-Linear Thermal Radiations and Couple Stress Effects," Energies, MDPI, vol. 14(17), pages 1-19, September.
    4. Ullah, Malik Zaka & Alshomrani, Ali Saleh & Alghamdi, Metib, 2020. "Significance of Arrhenius activation energy in Darcy–Forchheimer 3D rotating flow of nanofluid with radiative heat transfer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    5. Hayat, Tasawar & Riaz, Rubina & Aziz, Arsalan & Alsaedi, Ahmed, 2020. "Influence of Arrhenius activation energy in MHD flow of third grade nanofluid over a nonlinear stretching surface with convective heat and mass conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).

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