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Transient Analysis of Third-Grade Fluid Flow Past a Vertical Cylinder Embedded in a Porous Medium

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Numerical Heat Transfer and Fluid Flow

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

The concept of heatlines formulates the present problem for cylindrical flow geometry through a porous medium. The current work demonstrates the coupled, highly nonlinear, complex equations of third-grade fluid with unsteady characteristics. The Crank–Nicolson type of implicit numerical scheme is applied to the solution domain subject to suitable initial and boundary conditions. In the considered flow-domain for understanding the visualization technique of heat transfer, the heatlines are the best alternate tools than usual isotherms and streamlines since it is connected to the heat transfer rate all over the geometry. The flow visualization of thermal energy transfer demonstrates that the heatline contours are thicker in the precinct of base edge of the heated vertical surface. It is witnessed that as the Darcy number increases, the heatlines show less deviation from the hot wall. Also, as third-grade fluid parameter increases, the deviation of heatlines varies slightly for the fixed Darcy number.

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Acknowledgements

The first author Ashwini Hiremath wishes to thank DSTINSPIRE (Code No. IF160409) for he grant of research fellowship and Central University of Karnataka for providing the research facilities. Also, the corresponding author G. Janardhana Reddy acknowledges the financial support of UGC-BSR Start-Up Research Grant.

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Authors and Affiliations

  1. Department of Mathematics, Central University of Karnataka, Kalaburagi, 585367, Karnataka, India

    Ashwini Hiremath & G. Janardhana Reddy

Authors
  1. Ashwini Hiremath
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  2. G. Janardhana Reddy
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Correspondence to G. Janardhana Reddy .

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Editors and Affiliations

  1. National Institute of Technology Warangal, Warangal, Telangana, India

    D. Srinivasacharya

  2. Indian Institute of Technology Madras, Chennai, Tamil Nadu, India

    K. Srinivas Reddy

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Hiremath, A., Reddy, G.J. (2019). Transient Analysis of Third-Grade Fluid Flow Past a Vertical Cylinder Embedded in a Porous Medium. In: Srinivasacharya, D., Reddy, K. (eds) Numerical Heat Transfer and Fluid Flow. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-1903-7_11

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  • DOI: https://doi.org/10.1007/978-981-13-1903-7_11

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-1902-0

  • Online ISBN: 978-981-13-1903-7

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