Numerical Modeling of Non-Isothermal Laminar Flow and Heat Transfer of Paraffinic Oil with Yield Stress in a Pipe
Zhapbasbayev U. Bekibayev T. Pakhomov M. Ramazanova G.
May 2024Multidisciplinary Digital Publishing Institute (MDPI)
Energies
2024#17Issue 9
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, u1 = 0.10 m/s, t1 = 25 °C, and tw = 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.
heat exchange , laminar regime , non-isothermal flow , plastic viscosity , rheology of Newtonian and viscoplastic fluids , yield stress
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U.A. Joldasbekov Institute of Mechanics and Engineering, Almaty, 050000, Kazakhstan
Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, 630090, Russian Federation
U.A. Joldasbekov Institute of Mechanics and Engineering
Kutateladze Institute of Thermophysics SB RAS
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