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

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A Correction to this article was published on 26 March 2019

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Abstract

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.

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  • 26 March 2019

    The original version of the article unfortunately contained an error in Acknowledgements section. Below is the corrected version.

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Acknowledgements

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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Authors and Affiliations

  1. Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. 380, Al Aha, 31982, Saudi Arabia

    S. Sureshkumar Raju

  2. Department of Mathematics, SJM Institution of Technology, Chitradurga, 577502, Karnataka, India

    K. Ganesh Kumar

  3. Experimental Surgery Lab, Faculty of Medicine and Health Science, Ghent University, Ghent, Belgium

    Mohammad Rahimi-Gorji

  4. Biofluid, Tissue and Solid Mechanics for Medical Applications Lab (IBiTech-bioMMeda), Ghent University, Ghent, Belgium

    Mohammad Rahimi-Gorji

  5. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Ilyas Khan

Authors
  1. S. Sureshkumar Raju
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  2. K. Ganesh Kumar
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  3. Mohammad Rahimi-Gorji
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  4. Ilyas Khan
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Correspondence to Ilyas Khan.

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Sureshkumar Raju, S., Ganesh Kumar, K., Rahimi-Gorji, M. et al. Darcy–Forchheimer flow and heat transfer augmentation of a viscoelastic fluid over an incessant moving needle in the presence of viscous dissipation. Microsyst Technol 25, 3399–3405 (2019). https://doi.org/10.1007/s00542-019-04340-3

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  • DOI: https://doi.org/10.1007/s00542-019-04340-3

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