Abstract
The thermal enhancement and pressure drop in a circular tube with radially-arrayed winglet vortex generator (VG) mounted inside at different orientations were experimentally studied. A series of four winglet rings containing VGs were on the inner surface of the tube at different sections. The effects of winglet attack angles β (0–45°), pitch ratios PR (1.6–4.8), porosity ratio γ (0–20%), winglet length L (10–20 mm), and inclination angle α (0–30°) on heat transfer and pressure drop characteristics were carefully examined. The study was carried out at Reynolds numbers (Re) ranging from 6 × 103 to 2.7 × 104 nestling in the turbulent flow regime. Results showed a significant effect of the winglets on the heat transfer enhancement and pressure penalty compared to the smooth tube. Experiments further revealed that as the length or attack angle of winglets increased, both Nusselt number (Nu) and friction factor (f) were intensified. When it turned to pitch ratio and inclination angle of winglets, the trend became adverse. By comparing the contribution of different winglet parameters, it is preferable to optimize the pitch ratio (PR) other than length, inclination angle (α) nor attack angle (β) for a higher thermal enhancement. The case of small porosity ratio (γ = 10%) at a low Re yields the maximum thermal enhancement of 1.26. Empirical correlations for Nu and f were generated for the winglets based on experimental data.
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Abbreviations
- A [m2]:
-
Lateral area of the duct
- Cp [Jkg-1K-1)]:
-
Capacity
- D [m]:
-
Diameter of the duct
- f [-]:
-
Friction factor
- H [m]:
-
Height of winglet vortex generator
- h [Wm-2K-1]:
-
Convective heat transfer coefficient
- I [A]:
-
Current
- k [Wm-1K-1]:
-
Thermal conductivity
- L [m]:
-
Length of vortex generator
- l [m]:
-
Length of test section
- \( \dot{m} \) [kgs-1]:
-
Mass flow rate
- Nu [-]:
-
Nusselt number
- P [m]:
-
Pitch
- PR [-]:
-
Pitch ratio
- ∆P [Pascal]:
-
Pressure drop
- Pr [-]:
-
Prandtl number
- Q [J]:
-
Heat
- R :
-
Result function
- δR :
-
Error of result
- Re [-]:
-
Reynolds number
- T [K]:
-
Temperature
- t [m]:
-
Tube thickness
- U [ms-1]:
-
Velocity
- V [volt]:
-
Voltage
- \( \dot{V} \) [m3s-1]:
-
Volumetric flow rate
- X :
-
Independent variable
- δX :
-
Error of independent variable
- \( \overline{X} \) :
-
Averaged variable
- α [°]:
-
Inclination angle
- β [°]:
-
Attack angle
- γ [-]:
-
Porosity ratio
- ρ [kgm-3]:
-
Density
- υ [m2s-1]:
-
Kinematic viscosity
- b :
-
bulk
- conv :
-
Convective
- D :
-
Duct
- i :
-
index
- in :
-
Inlet
- loss :
-
Heat loss
- out :
-
Outlet
- O :
-
Smoothduct
- pp :
-
Pump power
- s :
-
Surface
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Acknowledgements
We gratefully acknowledge the support of the Khalifa University of Science and Technology, Abu Dhabi, UAE and the Petroleum Institute, Abu Dhabi (Research Grant: RIFP 15322-2015) for the completion of this research work.
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Liang, G., Islam, M., Alam, M.M. et al. An experimental study of heat transfer enhancement with winglets inside a tube. Heat Mass Transfer 57, 1223–1234 (2021). https://doi.org/10.1007/s00231-021-03021-0
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DOI: https://doi.org/10.1007/s00231-021-03021-0