Darcy–Forchheimer flow and heat transfer augmentation of a viscoelastic fluid over an incessant moving needle in the presence of viscous dissipation

  • S. Sureshkumar Raju
  • K. Ganesh Kumar
  • Mohammad Rahimi-Gorji
  • Ilyas KhanEmail author
Technical Paper


The main focus of the present study is to analyse the effect of viscous dissipation Darcy–Forchheimer flow and heat transfer augmentation of a viscoelastic fluid over an incessant moving needle. The governing partial differential equations of the defined problem are reduced into a set of nonlinear ordinary differential equations using adequate similarity transformations. Obtained set of similarity equations are then solved with the help of efficient numerical method fourth fifth order RKF-45 method. The effects of different flow pertinent parameters on the flow fields like velocity and temperature are shown in the form of graphs and tables. The detailed analysis of the problem is carried out based on the plotted graphs and tables.



The authors would like to express their gratitude to King Faisal University, P.O. 380, Al Aha-31982, Saudi Arabia, for providing the administrative and technical support.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • S. Sureshkumar Raju
    • 1
  • K. Ganesh Kumar
    • 2
  • Mohammad Rahimi-Gorji
    • 3
    • 4
  • Ilyas Khan
    • 5
    Email author
  1. 1.Department of Mathematics and Statistics, College of ScienceKing Faisal UniversityAl AhaSaudi Arabia
  2. 2.Department of MathematicsSJM Institution of TechnologyChitradurgaIndia
  3. 3.Experimental Surgery Lab, Faculty of Medicine and Health ScienceGhent UniversityGhentBelgium
  4. 4.Biofluid, Tissue and Solid Mechanics for Medical Applications Lab (IBiTech-bioMMeda)Ghent UniversityGhentBelgium
  5. 5.Faculty of Mathematics and StatisticsTon Duc Thang UniversityHo Chi Minh CityVietnam

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