Effect of backward facing step shape on 3D mixed convection of Bingham fluid

Danane, Fetta; Boudiaf, Ahlem; Mahfoud, Omar; Ouyahia, Seif-Eddine; Labsi, Nabila; Benkahla, Youb Khaled

doi:10.1016/j.ijthermalsci.2019.106116

Cited by 20 publications

(6 citation statements)

References 26 publications

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“…In the literature, there are several works on the study of heat transfer of such fluid for cases of flow in different geometries [13][14][15][16][17][18]. In [14], the results of laminar flow and the heat transfer of a viscoplastic fluid in a pipe are presented.…”

Section: Introductionmentioning

confidence: 99%

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

Zhapbasbayev,

Bekibayev,

Pakhomov

et al. 2024

Energies

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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.

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Section: Introductionmentioning

confidence: 99%

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

Zhapbasbayev,

Bekibayev,

Pakhomov

et al. 2024

Energies

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“…Due to the complexity of modern problems and the need for a complete understanding of all processes occurring in the studied areas, it is necessary to conduct numerical studies as accurately and in as much detail as possible. As a result, special attention should be paid to the numerical modeling of mixed convection problems in spatial objects [27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Conjugate Mixed Convection in 3D Channel with Heat-Generating Flat Element and Symmetrical Solid Two-Fin System

Gibanov

Sheremet

2023

Symmetry

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This paper presents the numerical simulation results of conjugate mixed convection in a three-dimensional channel with a heat-generating element and solid fins. It should be noted that the symmetrical location of fins has been studied. The system of partial differential equations, presented in dimensionless form using velocity and vorticity vectors, has been solved by the finite difference method on a uniform grid. The central difference schemes have been used to approximate diffusive terms. In contrast, for an approximation of convective terms, the monotonic Samarskii difference schemes have been applied to improve the stable properties of central differences of the second order of accuracy. Analysis has been performed on a wide range of governing parameters, including the Reynolds number (200 ≤ Re ≤ 1000), the material of the fins (aluminum, copper, and iron), and the location of the fins on the heater surface, taking into account the identical distances between the fins and the nearest walls. Water has been considered a working cooling medium. The obtained outcomes characterize the most efficient heat removal from the surface of the energy source using the considered fin system. For example, by using copper fins, the cooling efficiency of the heating element can be increased. The average heater temperature decreases significantly with an increase in the Reynolds number. The distance between the fins also makes a significant contribution to the cooling phenomenon. It is noted that with the most successful choice of location, it is possible to decrease the temperature of the heater by more than 12%.

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“…The complex rheological properties of a Bingham-Schwedoff (BS) fluid are determined by a nonlinear increase in viscosity and yield shear stress with a decrease in its temperature, which leads to the non-Newtonian state of a waxy crude oil. For laminar flow regimes, many publications have focused on the study of heat transfer in such fluids flowing in a pipe (Zhao, 2020;Bostanjiyan & Chernyaeva, 1966) and behind a backward-facing step (Danane et al, 2020). Some works have dealt with the study of the turbulent flow of a non-Newtonian polymer solution (viscoelastic) (Cruz & Pinho, 2003;Iaccarino et al, 2010;Masoudian et al, 2016), power law (Gavrilov & Rudyak, 2016), Herschel-Bulkley (Malin, 1997) and BS (Pakhomov & Zhapbasbayev, 2021) fluids.…”

Section: Introductionmentioning

confidence: 99%

RANS modeling of the transition of a non-isothermal flow of a Newtonian fluid to a viscoplastic state in a pipe

Maksim,

Uzak

2023

Materials of International Practical Internet Conference “Challenges of Science”

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A mathematical model of the movement and heat transfer of a turbulent non-isothermal non-Newtonian fluid through a pipe wall with a cold surrounding space has been developed and simulated numerically. Fluid turbulence is described in the framework of the isotropic two-parameter k– model. The Newtonian properties of the fluid in the initial cross-sections of the pipe transformed gradually into a viscoplastic non-Newtonian Bingham-Schwedoff fluid state due to heat transfer through the pipe wall between the heated fluid and a cold environment. The value of its streamwise velocity in the axial zone increased significantly when the fluid moved along the pipe. On the contrary, it decreased in the near-wall zone and the height of the region with a zero fluid velocity increased. This occurred due to the viscoplastic properties of a non-Newtonian fluid. The height of the region with a zero fluid velocity in the pipe increased gradually as the non-Newtonian fluid (waxy crude oil) moved through the pipe. A noticeable increase in the level of turbulent kinetic energy in the axial zone of the pipe and its noticeable decrease in its near-wall region were observed. A significant increase in the average dynamic viscosity and yield stress in the near-wall part of the pipe was shown. The boundary of the area of existence of Newtonian properties of fluid was determined. The height of the region with a zero fluid velocity in the pipe increased gradually as waxy crude oil moved through the pipe and reached y/R ≈ 0.1 at x/D = 15.

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Effect of backward facing step shape on 3D mixed convection of Bingham fluid

Cited by 20 publications

References 26 publications

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

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

Numerical Simulation of Conjugate Mixed Convection in 3D Channel with Heat-Generating Flat Element and Symmetrical Solid Two-Fin System

RANS modeling of the transition of a non-isothermal flow of a Newtonian fluid to a viscoplastic state in a pipe

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