Computational Analyses of Flow and Heat Transfer at 60° Position of 180° Curved Duct of Square Cross-Section

Abstract:

3D computational analyses are achieved to predict seriously the influences of thermal buoyancy strength and Dean number on Dean vortices, flow behavior and the rate heat transfer through 180° curved channel of square cross-sectional form. The work shows many results, so this paper emphasizes only on the results of 60° cross-sectional position of the bend duct. The principal partial equations of continuity, momentum and energy are considering in three dimensions under the following assumptions: flow is incompressible and laminar, and it is solved in steady-state. The aforementioned equations are subjected to suitable boundary conditions under following range as: Dean number of De = 125 to 150, Richardson number of Ri = 0 to 2 at fixed value of Prandtl number Pr = 1. The principal results of this work are illustrated as streamline and isotherm contours to draw to flow patterns and temperature distributions respectively. The axial velocity profile is shown versus above conditions, the local Nusselt number is also presented along the wall of 60° cross-sectional position. The results show that the thermal buoyancy can balance the effect of centrifugal force of fluid particles at the angular position of 60°.

• Periodical: Diffusion Foundations (Volume 26)
• Pages: 53-62
• DOI: https://doi.org/10.4028/www.scientific.net/DF.26.53
• Online since: March 2020
• Authors: Mourad Mokeddem*, Houssem Laidoudi, Mohamed Bouzit
• Keywords: Curved Channel, Nusselt Number, Square Cross-Section, Therma Buoyancy, Velocity Profile

References

[1] W.H. Finlay, K. Nandakumar, Onset of two-dimensional cellular flow in finite curved channels of large aspect ratio, Phys. Fluids. A 2 (7) (1990) 1163–1174.

DOI: 10.1063/1.857617

[2] W.R. Dean, Note on the motion of fluid in a curved pipe, Philos. Mag. 4 (1927) 208–223.

[3] H. Fellouah et al., the Dean instability in power-law and Bingham fluids in a curved rectangular duct, J. Non-Newtonian Fluid Mech. 165 (2010) 163–173.

DOI: 10.1016/j.jnnfm.2009.10.009

[4] H. Fellouah et al., A criterion for detection of the onset of Dean instability in Newtonian fluids, European Journal of Mechanics B/Fluids. 25 (2006) 505–531.

DOI: 10.1016/j.euromechflu.2005.11.002

[5] M. Jarrahi, Secondary flow patterns and mixing in laminar pulsating flow through a curved pipe, Exp Fluids. 50 (2011)1539–1558.

DOI: 10.1007/s00348-010-1012-z

[6] S. Rout, A Laminar Fluid Flow and Heat Transfer Characteristics of Al2O3 Nanofluid in 180-degree Return Bend Pipe. 10(6) (2017) 81–89.

[7] M. Norouzi et al., Flow of second-order fluid in a curved duct with square cross-section, J. Non-Newtonian Fluid Mech. 165 (2010) 323–339.

DOI: 10.1016/j.jnnfm.2010.01.007

[8] Joana M. Malheiro et al. Parametric study on the three-dimensional distribution of velocity of a FENE-CR fluid flow through a curved channel, Journal of Non-Newtonian Fluid Mechanics. 200 (2013) 88–102.

DOI: 10.1016/j.jnnfm.2012.12.007

[9] P.K. Papadopoulos, P.M. Hatzikonstantinou, Numerical study of laminar fluid flow in a curved elliptic duct with internal fins. 29 (2008) 540–544.

DOI: 10.1016/j.ijheatfluidflow.2007.11.003

[10] Y. Li et al., Dean instability and secondary flow structure in curved rectangular ducts, International Journal of Heat and Fluid Flow. 68 (2017) 189–202.

DOI: 10.1016/j.ijheatfluidflow.2017.10.011

[11] Z.P. Dai, Z.Q. Yin, Flow and deposition characteristics of nanoparticles in a 90° square bend, Thermal Science. 19(4) (2015)1235–1238.

DOI: 10.2298/tsci1504235d

[12] B.B. Nayak et al. Numerical prediction of flow and heat transfer characteristics of water-fly ash slurry in a 180° return pipe bend, International Journal of Thermal Sciences. 113 (2017) 100–115.

DOI: 10.1016/j.ijthermalsci.2016.11.019

[13] H. Soltanipour et al. Numerical analysis of heat transfer enhancement with use of nonofluid and longitudinal ribs in curved duct. Thermal Science, 16(2) ( 2012) 469-480.

DOI: 10.2298/tsci110719028s

[14] M.R.H. Nobari, M.T. Mehrabani, A numerical study of fluid flow and heat transfer in eccentric curved annuli, International Journal of Thermal Sciences. 49 (2010) 380–396.

DOI: 10.1016/j.ijthermalsci.2009.07.003

[15] Tilak T. Chandratilleke, Nima Nadim, Ramesh Narayanaswamy. Vortex structure-based analysis of laminar flow behavior and thermal characteristics in curved ducts. International Journal of Thermal Sciences 59 (2012) 75–86.

DOI: 10.1016/j.ijthermalsci.2012.04.014

[16] F. Bouzit, H. Laidoudi, M. Bouzit. Simulation of power-law fluids and mixed convection heat transfer inside of curved duct. Defect and Diffusion Forum, 378 (2018) 113-124.

DOI: 10.4028/www.scientific.net/ddf.378.113

[17] F. Bouzit, H. Laidoudi, M. Bouzit. Numerical investigation of power-law fluid flows and heat transfer inside of curved duct under aiding thermal buoyancy. Diffusion Foundation, 16 (2018) 84-95.

DOI: 10.4028/www.scientific.net/df.16.84

[18] M. Mokkedem, H. Laidoudi, M. Bouzit. 3D Simulation of Dean vortices at 30° position of 180° curved duct of square cross-section under opposing buoyancy. Defect and Diffusion Forum, 389 (2018) 153-163.

DOI: 10.4028/www.scientific.net/ddf.389.153

[19] M. Mokkedem, H. Laidoudi, O. D. Makinde, M. Bouzit. 3D Simulation of incompressible Poiseuille flow through 180° curved duct of square cross-section under the effect of thermal buoyancy. Periodica Polytechnica Mechanical Engineering, 63(4) (2019) 257-269.

DOI: 10.3311/ppme.12773

[20] B. Bara, K. Nandakumar, J.H. Masliyah, An experimental and numerical study of the Dean problem: flow development towards two-dimensional multiple solutions, J. Fluid Mech. 244 (1992) 339–376.

DOI: 10.1017/s0022112092003100

[21] ANSYS CFX-Solver Theory Guide, ANSYS Ltd., (2006).