Heat and Mass Transfer

, Volume 54, Issue 3, pp 715–726 | Cite as

Numerical investigation of heat transfer in annulus laminar flow of multi tubes-in-tube helical coil

  • S. A. Nada
  • H. F. Elattar
  • A. Fouda
  • H. A. Refaey


In the present study, a CFD analysis using ANSYS-FLUENT 14.5 CFD package is used to investigate the characteristics of heat transfer of laminar flow in annulus formed by multi tubes in tube helically coiled heat exchanger. The numerical results are validated by comparison with previous experimental data and fair agreements were existed. The influences of the design and operation parameters such as heat flux, Reynolds numbers and annulus geometry on the heat transfer characteristics are investigated. Different annulus of different numbers of inner tubes, specifically 1, 2, 3, 4 and 5 tubes, are tested. The Results showed that for all the studied annulus, the heat flux has no effect on the Nusselt number and compactness parameter. The annulus formed by using five inner tubes showed the best heat transfer performance and compactness parameter. Correlation of predicting Nusselt number in terms of Reynolds number and number of inner tubes are presented.



Water density, kg/m3


Water dynamic viscosity, N.s/m2


Annulus cross sectional area, m2


Rod heaters surfaces area, m2


Water specific heat, J/kg.K


Diameter of the outer tube, m


Heaters rod diameter, m


Helical coil of diameter, m


Dean number, dimensionless


Hydraulic diameter, m


Average coefficient of heat transfer, W/m2.K


Pitch, m


Factor to measure heat exchanger compactness, W/K


Local coefficient of heat transfer, W/m2.K


Thermal conductivity of water, W/m.K


Length of coil tube, m


Mass flow rate of water, kg/s


Number of inner rod heaters


Average Nusselt number, dimensionless


Prandtl number, dimensionless


Heat flux, W/m2


Rate of heat transfer, W


Coil curvature ratio, dimensionless


Reynolds number, dimensionless


Heater rods average surface temperature, oC


Average temperature of cooling water along the entire annulus volume, oC


Average temperature of inlet water, oC


Average temperature of exit water, oC


Number of the coil turns


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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • S. A. Nada
    • 1
  • H. F. Elattar
    • 1
  • A. Fouda
    • 2
  • H. A. Refaey
    • 3
  1. 1.Department of Mechanical Engineering, Benha Faculty of EngineeringBenha UniversityBenhaEgypt
  2. 2.Department of Mechanical Power Engineering, Faculty of EngineeringMansoura UniversityEl-MansouraEgypt
  3. 3.Department of Mechanical Engineering, Faculty of Engineering at ShoubraBenha UniversityCairoEgypt

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