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Numerical Analysis for the Bingham—Papanastasiou Fluid Flow Over a Rotating Disk

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Abstract

This study is conducted to investigate the Bingham—Papanastasiou fluid flow driven by a rotating infinite disk. The Bingham—Papanastasiou model is a modification of the Bingham plastic model, which is developed by introducing a continuation parameter to overcome its discontinuity. The von K´armán similarity solution is used to transform the flow equations from ordinary differential equations to a nonlinear system of partial differential equations, which is solved numerically. The effect of the Bingham flow parameters on the radial, tangential, and axial velocities, pressure, and radial and tangential skin friction coefficients is discussed.

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References

  1. T. C. Papanastasiou, “Flows of Materials with Yield,” J. Rheology 31 (5), 385–404 (1987).

    Article  ADS  MATH  Google Scholar 

  2. S. Abdali, E. Mitsoulis, and N. Markatos, “Entry and Exit Flows of Bingham Fluids,” J. Rheology 36 (2), 389–407 (1992).

    Article  ADS  Google Scholar 

  3. E. Mitsoulis, S. Marangoudakis, M. Spyratos, et al., “Pressure-Driven Flows of Bingham Plastics over a Square Cavity,” J. Fluids Eng. 128 (5), 993–1003 (2006).

    Article  Google Scholar 

  4. E. Mitsoulis, “Fountain Flow of Pseudoplastic and Viscoplastic Fluids,” J. Non-Newtonian Fluid Mech. 165 (1/2), 45–55 (2010).

    Article  MATH  Google Scholar 

  5. T. von. Kármán, “über Laminare und Turbulente Reibung,” Z. Angew. Math. Mech. 1 (4), 233–252 (1921).

    Article  MATH  Google Scholar 

  6. N. A. Khan, S. Aziz, and N. A. Khan, “Numerical Simulation for the Unsteady MHD Flow and Heat Transfer of Couple Stress Fluid over a Rotating Disk,” PLoS One 9 (5), e95423 (2014).

    Article  ADS  Google Scholar 

  7. T. Hayat, M. Nawaz, M. Awais, and S. Obaidat, “Axisymmetric Magnetohydrodynamic Flow of Jeffrey Fluid over a Rotating Disk,” Int. J. Numer. Methods Fluids 70 (6), 764–774 (2012).

    Article  ADS  MathSciNet  Google Scholar 

  8. A. A. Rashaida, Flow of a non-Newtonian Bingham Plastic Fluid over a Rotating Disk (Univ. of Saskatchewan, Saskatoon, 2005).

    Google Scholar 

  9. A. Ahmadpour and K. Sadeghy, “Swirling Flow of Bingham Fluids above a Rotating Disk: An Exact Solution,” J. Non-Newtonian Fluid Mech. 197, 41–47 (2013).

    Article  Google Scholar 

  10. A. Ahmadpour, M. Ghasemi, J. Jamali, and K. Sadeghy, “On the Validity of Boundary Layer Theory for Simulating von Kármán Flows of Bingham Fluids,” J. Soc. Rheology Jpn. 42 (3), 161–167 (2014).

    Article  Google Scholar 

  11. N. A. Khan, A. Sohail, and F. Sultan, “Effect of Anisotropic Slip and Magnetic Field on the Flow and Heat Transfer of Eyring—Powell Fluid over an Infinite Rotating Disk,” Int. J. Fluid Mech. Res. 44 (3), 1–17 (2017).

    Article  Google Scholar 

  12. N. A. Khan, F. Naz, and F. Sultan, “Entropy Generation Analysis and Effects of Slip Conditions on Micropolar Fluid Flow Due to a Rotating Disk,” Open Eng. 7 (1), 185–198 (2017).

    Article  Google Scholar 

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Correspondence to N. A. Khan.

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Original Russian Text © N.A. Khan, F. Sultan.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 59, No. 4, pp. 72–79, July–August, 2018.

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Khan, N.A., Sultan, F. Numerical Analysis for the Bingham—Papanastasiou Fluid Flow Over a Rotating Disk. J Appl Mech Tech Phy 59, 638–644 (2018). https://doi.org/10.1134/S0021894418040090

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  • DOI: https://doi.org/10.1134/S0021894418040090

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