Abstract
The steady state heat transfer and flow resistance performance in cosine style runners with different amplitudes are studied numerically and experimentally in this paper. The results show that: When the Reynolds numbers (Re) range from 1210 to 5080, the core volume goodness factor (ηohstdα) is used to compare the overall heat transfer performance of the two runners, and the ηohstdα value in the cosine style runner is 7–25% larger than that of the equal cross section runner, so that the cosine style runner has better overall heat transfer enhancement performance. When the amplitudes (2A) range from 5 to 9 mm, with the decrease of amplitude, the overall heat transfer performance is getting better. At the same amplitude, the convective heat transfer performance gradually increases as the inlet height (Fh) decreases; with the increase of Re, the thickness of the thermal and velocity boundary layers are both decreasing. Based on the field synergy principle, the heat transfer enhancement mechanisms with different parameters are evaluated, and we conclude that the smaller the amplitude is, its field synergy is better.
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Abbreviations
- A :
-
Surface area [m2]; Amplitude [mm]
- c p :
-
Specific heat capacity [J/kg·K]
- D h :
-
Hydraulic diameter [mm]
- E :
-
Fluid pumping power per unit surface area [W/m2]
- F h :
-
Inlet height [mm]
- h :
-
Heat transfer coefficient [W/m2·K]
- L f :
-
Fin length [mm]
- ΔP :
-
Pressure difference [Pa]
- Q :
-
Average value of the heat flux [W]
- S f :
-
Fin pitch [mm]
- T :
-
Temperature [K]
- t f :
-
Fin thickness [mm]
- ΔT :
-
Temperature difference [K]
- u :
-
Velocity [m/s]
- f :
-
Fanning friction factor
- g c :
-
Proportionality constant in Newton’s second law of motion, gc = 1
- j :
-
Colburn factor
- Nu :
-
Nusselt number
- Pr :
-
Prandtl number
- Re :
-
Reynolds number
- α :
-
Ratio of total heat transfer area to the total volume of an exchanger [m2/m3]
- θ :
-
Average field synergy angle [°]
- θ’ :
-
Local field synergy angle [°]
- ρ :
-
Air density [kg/m3]
- λ :
-
Heat conductivity [W/m·K]
- μ :
-
Dynamic viscosity [Pa·s]
- η o :
-
Extended surface efficiency on one fluid side of the extended surface heat exchanger, dimensionless
- σ :
-
Ratio of free flow area to frontal area, dimensionless
- A :
-
Inlet air
- B :
-
Outlet air
- C :
-
Inlet water
- D :
-
Outlet water
- in :
-
Inlet
- ln :
-
Logarithm
- m :
-
Average value
- max :
-
Maximum value
- w :
-
Wall
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Acknowledgements
Financial support is provided by the National Science Foundation of China (51874187, 51806114), China Postdoctoral Fund (2016 M602170, 2017 T100508), Key research and development plan of Shandong Province (2017GSF20113, 2018GSF121002), Shandong Province Natural Science Foundation (ZR2018MEE002, ZR2017PD011).
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Zhang, Y., Zhang, X., Li, M. et al. Research on heat transfer enhancement and flow characteristic of heat exchange surface in cosine style runner. Heat Mass Transfer 55, 3117–3131 (2019). https://doi.org/10.1007/s00231-019-02647-5
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DOI: https://doi.org/10.1007/s00231-019-02647-5