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Dual solutions for fluid flow over a stretching/shrinking rotating disk subject to variable fluid properties

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  • Naganthran, Kohilavani
  • Mustafa, Meraj
  • Mushtaq, Ammar
  • Nazar, Roslinda

Abstract

The present study is focused towards investigating swirling flow around a disk that undergoes uniform rotation and radial stretching/shrinking simultaneously in its plane. In accordance with the available literature, inversely linear temperature-dependency of fluid viscosity is assumed. Furthermore, the dependence of thermal conductivity on temperature is considered. The solution procedure involves a rather conventional approach of reducing the Navier–Stokes equations into self-similar forms. Finally, a numerical solution is furnished by employing as easy to implement but effective MATLAB’s routine bvp4c. The cases of liquids and gases are separately treated. The solution involves a parameter C that measures the rate of radial stretching/shrinking of the disk. In case of shrinking disk, the problem admits dual solutions under a specific range of values of C. The quantities of practical interest such as the skin friction factor and the Nusselt number change appreciably by varying parameter C. The computations agree very well with the existing literature concerning Von-Kármán flow with constant fluid properties.

Suggested Citation

  • Naganthran, Kohilavani & Mustafa, Meraj & Mushtaq, Ammar & Nazar, Roslinda, 2020. "Dual solutions for fluid flow over a stretching/shrinking rotating disk subject to variable fluid properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    • Handle: RePEc:eee:phsmap:v:556:y:2020:i:c:s0378437120303873
    DOI: 10.1016/j.physa.2020.124773
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    References listed on IDEAS

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    1. Doh, Deog-Hee & Muthtamilselvan, M. & Swathene, B. & Ramya, E., 2020. "Homogeneous and heterogeneous reactions in a nanofluid flow due to a rotating disk of variable thickness using HAM," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 168(C), pages 90-110.
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    Cited by:

    1. Mir Waqas Alam & Syed Ghazanfar Hussain & Basma Souayeh & Muhammad Shuaib Khan & Mohd Farhan, 2021. "Numerical Simulation of Homogeneous–Heterogeneous Reactions through a Hybrid Nanofluid Flowing over a Rotating Disc for Solar Heating Applications," Sustainability, MDPI, vol. 13(15), pages 1-16, July.
    2. Iskandar Waini & Najiyah Safwa Khashi’ie & Abdul Rahman Mohd Kasim & Nurul Amira Zainal & Khairum Bin Hamzah & Norihan Md Arifin & Ioan Pop, 2022. "Unsteady Magnetohydrodynamics (MHD) Flow of Hybrid Ferrofluid Due to a Rotating Disk," Mathematics, MDPI, vol. 10(10), pages 1-20, May.
    3. Saddam Sultan Akbar & Meraj Mustafa, 2022. "Application of Exponential Temperature Dependent Viscosity Model for Fluid Flow over a Moving or Stationary Slender Surface," Mathematics, MDPI, vol. 10(18), pages 1-13, September.

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