Abstract
In the present investigation, the heat transfer and pressure drop characteristics of a circular tube fitted with a new 5 point star shape cross sectioned twisted rod inserts are experimentally reported for fully developed turbulent flow regime. Test runs were conducted in a concentric double pipe heat exchanger in the Reynolds number (Re) range of 8000–32,000 with water as a working fluid. For different investigated geometries of insert, the average Nusselt number ratio (\({\text{Nu}}_{\text{a}} /{\text{Nu}}_{\text{p}}\)) and average friction factor ratio (\({\text{f}}_{\text{a}} /{\text{f}}_{\text{p}}\)) with and without inserts are reported to be in the range of 1.79–2.79 and 2.44–4.17 respectively. The Nusselt number ratio (\({\text{Nu}}_{\text{a}} /{\text{Nu}}_{\text{c}}\)) based on equal pumping power is also reported and found to be in the range of 0.94–1.24. The effects of varying pitch to length of insert ratio (p/l) and diameter of insert to the inner diameter of tube ratio (d/Di) on heat transfer and pressure drop are reported and empirical correlation is given for Nusselt number in terms of Reynolds number (Re), pitch to length of insert ratio (p/l), insert diameter to inner diameter of tube ratio (d/Di) and Prandtl number (Pr).
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Abbreviations
- A:
-
Area
- D:
-
Diameter
- \({\Delta }{\text{P}}\) :
-
Pressure drop of fluid (N/m2)
- \({\text{T}}_{\text{lm}}\) :
-
Logarithimic mean temperature difference
- h:
-
Heat transfer coefficient (W/m2 K)
- k:
-
Thermal conductivity (W/m K)
- l:
-
Length of insert
- L:
-
Length of test section for heat transfer
- \({\text{L}}_{1}\) :
-
Length of tube between pressure taps
- \({\dot{\text{m}}}\) :
-
Mass flow rate of fluid (kg/s)
- Q:
-
Heat transfer rate (kW)
- T:
-
Temperature (K)
- V:
-
Mean fluid velocity (m/s)
- \({\text{C}}_{{{\text{P}},{\text{W}}}}\) :
-
Specific heat of water at constant pressure
- \({\uprho }\) :
-
Density of fluid (kg/m3)
- \({\upmu }\) :
-
Dynamic viscosity (kg/m s)
- a:
-
Augmented tube case
- avg:
-
Average
- c:
-
Cold
- h:
-
Hot
- i:
-
Inner
- in:
-
Inlet
- o:
-
Outer
- out:
-
Outlet
- p:
-
Plain tube case
- s:
-
Tube wall surface
- Re:
-
Reynolds number
- R3:
-
Nusselt number ratio at equal pumping power
- Pr:
-
Prandtl number
- f:
-
Average friction factor
- Nu:
-
Average Nusselt number
- p/l:
-
Ratio of pitch to length of insert
- d/Di:
-
Ratio of insert diameter to inner tube diameter
- η:
-
Thermal performance index
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Acknowledgments
Authors would like to express their appreciation to Mr. Satyajit Kasar and Mr. Prashant Deshmukh who provided insight and expertise that greatly assisted the research. Authors also wish to acknowledge Dr. Sandipkumar Sonawane for comments that greatly improved the manuscript.
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Kapse, A.A., Dongarwar, P.R. & Gawande, R.R. Experimental investigation of turbulent heat transfer performance in internal flow using a star shape cross sectioned twisted rod inserts. Heat Mass Transfer 53, 253–264 (2017). https://doi.org/10.1007/s00231-016-1820-7
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DOI: https://doi.org/10.1007/s00231-016-1820-7