Journal of Thermal Analysis and Calorimetry

, Volume 139, Issue 2, pp 1291–1299 | Cite as

Framing the novel aspects of irreversibilty in MHD flow of Williamson nanomaterial with thermal radiation near stagnation point

  • M. Ijaz KhanEmail author
  • Sumaira Qayyum
  • M. Waqas
  • T. Hayat
  • A. Alsaedi


Here, MHD stagnation point flow of non-Newtonian fluid over a stretchable surface is considered. Process of modeling is characterized for basic relations of non-Newtonian Williamson fluid. Nanofeatures for thermophoresis and random movement of liquid particles present. Applied magnetic field for small Reynolds number is considered. Induced magnetic field is not accounted. Entropy equation is studied in the presence of Ohmic heating, radiation and dissipation. The carried out analysis reduces the PDE systems into the ODE systems with nonlinearity. The obtained nonlinear ODE systems are solved utilizing modern way of solution technique known as the built-in-Shooting method. Furthermore, total entropy rate is calculated via second law of thermodynamics. Velocity, entropy rate, temperature, Nusselt number, mass concentration, skin friction and Sherwood number are discussed through different physical parameters. Key observations of the whole study are listed.


MHD Williamson nanofluid Activation energy Entropy generation Viscous dissipation Radiative heat flux Ohmic heating 



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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2019

Authors and Affiliations

  • M. Ijaz Khan
    • 1
    Email author
  • Sumaira Qayyum
    • 1
  • M. Waqas
    • 2
  • T. Hayat
    • 1
    • 3
  • A. Alsaedi
    • 3
  1. 1.Department of MathematicsQuaid-I-Azam UniversityIslamabadPakistan
  2. 2.NUTECH School of Applied Sciences and HumanitiesNational University of TechnologyIslamabadPakistan
  3. 3.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

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