Relationship between the Intensity of Secondary Flow and Convection Heat Transfer in a Helically Coiled Circular Tube with Uniform Wall Temperature

  • ZHANG Jinlong ,
  • ZHAO Chuangyao ,
  • WANG Liangbi
Expand
  • 1. School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China
    2. Key Laboratory of Railway Vehicle Thermal Engineering of MOE, Lanzhou Jiaotong University, Lanzhou 730070, China
    3. School of Building Services Science and Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, China

Online published: 2023-11-22

Supported by

This work is supported by the National Natural Science Foundation of China (No. 51776093, No. 52066009), Transformation of S&T achievements in Universities of Gansu Province of China (No. 2019C-06), Major Special Projects of Gansu Province of China (21ZD4GA027), Young Scientists Fund of Lanzhou Jiaotong University (2020038).

Copyright

Science Press, Institute of Engineering Thermophysics, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2023

Abstract

Numerical method is used to investigate fully developed laminar flow in helically coiled circular tube in this paper. The non-dimensional parameter (secondary flow Reynolds number Se) based on absolute vorticity flux along the mainstream is used to indicate the intensity of secondary flow caused by the centrifugal effect in helically coiled circular tube. The relationship between the intensity of secondary flow and the intensity of laminar convective heat transfer is studied. The effects of curvature and torsion on the enhancement of heat transfer are also considered. The results reveal that the absolute vorticity flux along the mainstream can be used to indicate the local or averaged intensity of secondary flow; the non-dimensional parameter of the absolute vortex along the main flow determines the convective heat transfer and friction factor. The relationships of Nusselt number and friction factor with the Se are obtained. The effect of curvature on Nusselt number is obvious, but the effect of torsion on Nusselt number is less obvious.

Cite this article

ZHANG Jinlong , ZHAO Chuangyao , WANG Liangbi . Relationship between the Intensity of Secondary Flow and Convection Heat Transfer in a Helically Coiled Circular Tube with Uniform Wall Temperature[J]. Journal of Thermal Science, 2023 , 32(3) : 1007 -1022 . DOI: 10.1007/s11630-023-1794-y

References

[1] Schmidt D.I.E.F., Wrmeübergang und druckverlust in rohrschlangen. Chemie Ingenieur Technik, 1967, 39(13): 781–789.
[2] Ko T.H., Ting K., Optimal Reynolds number for the fully developed laminar forced convection in a helical coiled tube. Energy, 2004, 31(12): 2142–2152.
[3] Kumar E.P., Solanki A.K., Kumar M., Numerical investigation of heat transfer and pressure drop characteristics in the micro-fin helically coiled tubes. Applied Thermal Engineering, 2021, 182: 116093.
[4] Liberto M.D., Ciofalo M., A study of turbulent heat transfer in curved pipes by numerical simulation. International Journal of Heat & Mass Transfer, 2013, 59: 112–125.
[5] Jamshidi N., Farhadi M., Ganji D.D., Sedighi K., Experimental analysis of heat transfer enhancement in shell and helical tube heat exchangers. Applied Thermal Engineering, 2013, 51: 644–652.
[6] Bersano A., Falcone N., Bertani C., Conceptual design of a bayonet tube steam generator with heat transfer enhancement using a helical coiled downcomer. Progress in Nuclear Energy, 2018, 108: 243–252.
[7] Rabienataj D.A.A., Abuzadeh Mo., Omidi Mo., Numerical investigation on thermal performance of coiled tube with helical corrugated wall. International Journal of Thermal Sciences, 2021, 161: 106759.
[8] Zare M., Heyhat M.M., Performance evaluation of nanofluid flow in conical and helical coiled tubes. Journal of Thermal Analysis and Calorimetry, 2018, 135: 1–12.
[9] Jayakumar J.S., Mahajani S.M., Mandal J.C., Vijayan P.K. and Rohidas Bhoi, Experimental and CFD estimation of heat transfer in helically coiled heat exchangers. Chemical Engineering Research and Design, 2008, 86: 221–232.
[10] Pawar S.S., Sunnapwar V.K., Experimental and CFD investigation of convective heat transfer in helically coiled tube heat exchanger. Chemical Engineering Research and Design, 2014, 92: 2294–2312.
[11] Han Y., Wang X.S., Zhang H.N., Chen Q.Z., Zhang Z., Multi-objective optimization of helically coiled tube heat exchanger based on entropy generation theory. International Journal of Thermal Sciences, 2020, 147: 106150.
[12] Ahadi M., Abbassi A., Exergy analysis of laminar forced convection of nanofluids through a helical coiled tube with uniform wall heat flux. International Journal of Exergy, 2013, 13(1): 21–35.
[13] Kumar P., Kumar J., Suresh S., Babu K.P., Heat transfer enhancement in a helically coiled tube with Al2O3/water nano-fluid under laminar flow condition. International Journal of Nanoscience, 2012, 11(5): 1250029.
[14] Bahrehmand S., Abbassi A., Heat transfer and performance analysis of nanofluid flow in helically coiled tube heat exchangers. Chemical Engineering Research and Design, 2016, 109: 628–637.
[15] Narrein K., Mohammed H.A., Influence of nanofluids and rotation on helically coiled tube heat exchanger performance. Thermochimica Acta, 2013, 564: 13–23.
[16] Huminic G., Huminic A., Heat transfer and flow characteristics of conventional fluids and nanofluids in curved tubes: A review. Renewable and Sustainable Energy Reviews, 2016, 58: 1327–1347.
[17] Rainieri S., Bozzoli F., Cattani L., Pagliarini G., Experimental investigation on the convective heat transfer enhancement for highly viscous fluids in helical coiled corrugated tubes. Journal of Physics: Conference Series, 2012, 395: 012032.
[18] Zheng L., Xie Y.H., Zhang D., Numerical investigation on heat transfer and flow characteristics in helically coiled mini-tubes equipped with dimples. International Journal of Heat and Mass Transfer, 2018, 126: 544–570.
[19] Liu S., Masliyah J.H., Axially invariant laminar flow in helical pipes with a finite pitch. Journal of Fluid Mechanics, 1993, 251: 315–353.
[20] Chang L.M., Wang L.B., Song K.W., Sun D.L., Fan J.F, Numerical study of the relationship between heat transfer enhancement and absolute vorticity flux along main flow direction in a channel formed by a flat tube bank fin with vortex generators. International Journal of Heat and Mass Transfer, 2009, 52: 1794–1801. 
[21] Lin Z.M., Sun D.L., Wang L.B., The relationship between absolute vorticity flux along the main flow and convection heat transfer in a tube inserting a twisted tape. Heat and Mass Transfer, 2009, 45(11): 1351–1363.
[22] Dang W., Wang L.B., Convective heat transfer enhancement mechanisms in circular tube inserted with a type of twined coil. International Journal of Heat and Mass Transfer, 2021, 169: 120960.
[23] Guo A.N., Wang L.B., The mechanism of laminar convective heat transfer enhancement enforced by twisting of elliptical tube. International Journal of Heat and Mass Transfer, 2020, 157: 119961.
[24] Song K.W., Shi W.N., Wu X., Wang L.B., Characteristics of flow symmetry and heat transfer of winglet pair in common flow down configuration. Symmetry, 2020, 12(2): 1–12.
[25] Song K.W., Wang L.B., The effectiveness of secondary flow produced by vortex generators mounted on both surfaces of the fin to enhance heat transfer in a flat tube bank fin heat exchanger. Journal of Heat Transfer, 2013, 135: 041902.
[26] Thompson J.F., Warsi S.W., Mastin C.W., Numerical grid generation-foundation and application. North-Holland, Amsterdam, 1985.
[27] Eriksson L.E., Practical three-dimensional mesh generation using transfinite interpolation. SIAM Journal on Scientific and Statistical Computing, 2006, 6(3): 712–741.
[28] Patankar S.V., Numerical heat transfer and fluid flow. Hemisphere, New York, 1980.

Outlines

/