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Numerical Modeling of Non-Isothermal Laminar Flow and Heat Transfer of Paraffinic Oil with Yield Stress in a Pipe

Author

Listed:
  • Uzak Zhapbasbayev

    (U.A. Joldasbekov Institute of Mechanics and Engineering, Almaty 050000, Kazakhstan)

  • Timur Bekibayev

    (U.A. Joldasbekov Institute of Mechanics and Engineering, Almaty 050000, Kazakhstan)

  • Maksim Pakhomov

    (Kutateladze Institute of Thermophysics SB RAS, 630090 Novosibirsk, Russia)

  • Gaukhar Ramazanova

    (U.A. Joldasbekov Institute of Mechanics and Engineering, Almaty 050000, Kazakhstan)

Abstract

This paper presents the results of a study on the non-isothermal laminar flow and heat transfer of oil with Newtonian and viscoplastic rheologies. Heat exchange with the surrounding environment leads to the formation of a near-wall zone of viscoplastic fluid. As the flow proceeds, the transformation of a Newtonian fluid to a viscoplastic state occurs. The rheology of the Shvedoff–Bingham fluid as a function of temperature is represented by the effective molecular viscosity apparatus. A numerical solution to the system of equations of motion and heat transfer was obtained using the Semi-Implicit Method for Pressure-Linked Equations (SIMPLE) algorithm. The calculated data are obtained at Reynolds number Re from 523 to 1046, Bingham number Bn from 8.51 to 411.16, and Prandl number Pr = 45. The calculations’ novelty lies in the appearance of a “stagnation zone” in the near-wall zone and the pipe cross-section narrowing. The near-wall “stagnation zone” is along the pipe’s radius from r/R = 0.475 to r/R = 1 at Re = 523, Bn = 411.16, Pr = 45, u 1 = 0.10 m/s, t 1 = 25 °C, and t w = 0 °C. The influence of the heat of phase transition of paraffinic oil on the development of flow and heat transfer characteristics along the pipe length is demonstrated.

Suggested Citation

  • Uzak Zhapbasbayev & Timur Bekibayev & Maksim Pakhomov & Gaukhar Ramazanova, 2024. "Numerical Modeling of Non-Isothermal Laminar Flow and Heat Transfer of Paraffinic Oil with Yield Stress in a Pipe," Energies, MDPI, vol. 17(9), pages 1-20, April.
    • Handle: RePEc:gam:jeners:v:17:y:2024:i:9:p:2080-:d:1383999
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    References listed on IDEAS

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    1. Evgenii S. Baranovskii, 2017. "On Flows of Bingham-Type Fluids with Threshold Slippage," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-6, December.
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