Home Frictional Pressure Drop during Two-Phase Flow of Pure Fluids and Mixtures in Small Diameter Channels
Article
Licensed
Unlicensed Requires Authentication

Frictional Pressure Drop during Two-Phase Flow of Pure Fluids and Mixtures in Small Diameter Channels

  • Davide Del Col EMAIL logo , Marco Azzolin , Alberto Bisetto and Stefano Bortolin
Published/Copyright: September 30, 2015

Abstract

Two-phase flow is widely encountered in minichannels heat exchangers such as air-cooled condensers and evaporators for automotive, compact devices for electronic cooling and aluminum condenser for air-conditioning applications. In the present work, frictional pressure drop during adiabatic liquid-vapor flow is experimentally investigated inside a single 0.96 mm diameter minichannel. Tests have been run with three mixtures of R32/R1234ze(E) (23/77%, 50/50% and 75/25% by mass composition) at mass flux ranging between 200 and 600 kg m−2 s−1. Since pressure drop has a strong influence on the two-phase heat transfer, it is crucial to have reliable pressure drop prediction methods for two-phase heat transfer modeling and optimization. Therefore, with the aim of extending its validity range, a model to calculate the frictional pressure gradient during two-phase flow in small diameter channels is tested against the present two-phase pressure drop database. An assessment is also done with two low-GWP refrigerants: the halogenated olefin R1234ze(E) and the hydrocarbon R290. The present model accounts for the effect of internal surface roughness as a function of the liquid-only Reynolds number.

Nomenclature

A

parameter in eq. 11 [/]

C

Hagen-Poiseuille constant [/]

c

specific heat [J kg−1 K−1]

Dh

hydraulic diameter [m]

E

entrainment ratio [/]

e

percent deviation=[(ΔpCALCΔpEXP)/ΔpEXP]100 [%]

eAB

absolute mean deviation=(1/Np)[|ΔpCALCΔpEXP|/ΔpEXP]100 [%]

eR

average deviation=(1/Np)[(ΔpCALCΔpEXP)/ΔpEXP]100 [%]

f

friction factor [/]

F

parameter in eq. [7] [/]

G

mass velocity [kg m−2 s−1]

g

gravitational acceleration [m s−2]

H

parameter in eq. [7] [/]

h

enthalpy [J kg−1]

JG

dimensionless gas velocity=xGgDhρVρLρV0.5 [/]

L

channel length [m]

mass flow rate [kg s−1]

Np

number of data points [/]

p

pressure [Pa]

pCR

critical pressure [Pa]

pR

reduced pressure=p/pCR [/]

Ra

arithmetical mean deviation of the assessed profile (according to ISO 4287:1997) [m]

Re

Reynolds number=(GDh)/µ [/]

ReLO

liquid-only Reynolds number=(GDh)/µL [/]

ReLO+

parameter in eq. [12] [/]

RR

relative roughness of the channel=2Ra/Dh [/]

W

parameter in eq. [7] [/]

uc(dp/dz)

expanded uncertainty on pressure gradient [kPa m−1]

x

thermodynamic vapor quality [/]

X

corrective coefficient in eq. [9] [/]

Y

mass fraction [/]

z

axial coordinate oriented with the flow [m]

Z

parameter in eq. [7] [/]

Greek symbols
∆p

pressure difference [Pa]

∆T

temperature difference [K]

ϕLO2

two-phase multiplier=(dpdz)f/(dpdz)f,LO [/]

μ

dynamic viscosity [Pa s]

ρ

density [kg m−3]

σN

standard deviation={[(eeR)2]/(Np1)}1/2

Subscripts
CALC

calculated

EXP

experimental

f, fric

frictional

in

inlet

L

liquid phase

LO

liquid phase with total mass flow rate

MS

measuring sector

PS

pre-conditioning sector

ref

refrigerant

V

vapor phase

References

1. Akasaka, R., 2013. Thermodynamic property models for the difluoromethane (R-32) + trans-1,3,3,3-tetrafluoropropene (R-1234ze(E)) and difluoromethane + 2,3,3,3-tetrafluoropropene (R-1234yf) mixtures. Fluid Phase Equilibria 358, 98–104.Search in Google Scholar

2. Bandhauer, T.M., Agarwal, A., Garimella, S., 2006. Measurement and modeling of condensation heat transfer coefficients in circular microchannels. Transactions of ASME Journal of Heat Transfer 128, 1050–1059.Search in Google Scholar

3. Blasius, H., 1913. Das Ahnlichkeitsgesetz bei Reibungsvorgangen in Flussigkeiten. Forschg. Arb, Ing.-Wes. 131.Search in Google Scholar

4. Cavallini, A., Censi, G., Del Col, D., Doretti, L., Longo G.A, Rossetto, L., Zilio, C., 2003. Condensation inside and outside smooth and enhanced tubes – a review of recent research. International Journal of Refrigeration 26, 373–392.Search in Google Scholar

5. Cavallini, A., Del Col, D., Doretti, L., Matkovic, M., Rossetto, L., Zilio, C., 2005. Two-phase frictional pressure gradient of R236fa, R134a and R410A inside multi-port mini-channels. Experimental Thermal and Fluid Science 29, 861–870.Search in Google Scholar

6. Cavallini, A., Del Col, D., Matkovic, M., Rossetto, L., 2009a. Frictional pressure drop during vapor-liquid flow in minichannels: Modelling and experimental evaluation. International Journal of Heat and Fluid Flow 30, 131–139.Search in Google Scholar

7. Cavallini, A., Del Col, D., Matkovic, M., Rossetto, L., 2009b. Pressure drop during two-phase flow of R134a and R32 in a single minichannel. ASME Journal of Heat Transfer 131, 033107-1 0133107-8.Search in Google Scholar

8. Choi, K.I., Pamitran, A.S., Oh, J.T., Saito, K., 2009. Pressure drop and heat transfer during two-phase flow vaporization of propane in horizontal smooth minichannels. International Journal of Refrigeration 32, 837–845.Search in Google Scholar

9. Churchill, S.W., 1977. Friction factor equation spans all fluid-flow regimes. Chemical Engineering 45, 91–92.Search in Google Scholar

10. Del Col, D., Bisetto, A., Bortolato, M., Torresin, D., Rossetto, L., 2013. Experiments and updated model for two phase frictional pressure drop inside minichannels. International Journal of Heat and Mass Transfer 67, 326–337.Search in Google Scholar

11. Del Col, D., Bortolato, M., Bortolin, S., 2014. Comprehensive experimental investigation of two-phase heat transfer and pressure drop with propane in a minichannel. International Journal of Refrigeration 47, 66–84.Search in Google Scholar

12. Del Col, D., Azzolin, M., Bortolin, S., Zilio, C., 2015a. Two-phase pressure drop and condensation heat transfer of R32/R1234ze(E) non-azeotropic mixtures inside a single microchannel. Science and Technology for the Built Environment, 21, 595–606.Search in Google Scholar

13. Del Col, D., Bortolato, M., Azzolin M., Bortolin, S., 2015b. Condensation heat transfer and two-phase frictional pressure drop in a single minichannel with R1234ze(E) and other refrigerants. International Journal of Refrigeration 50, 87–103.Search in Google Scholar

14. Field, B. S., Hrnjak, P. 2007. Adiabatic two-phase pressure drop of refrigerants in small channels. Heat Transfer Engineering 28, 704–712.Search in Google Scholar

15. Friedel, L., 1979. Improved friction pressure drop correlations for horizontal and vertical two-phase pipe flow. Proceedings of the European Two-phase Flow Group Meeting, Ispra, Paper E2.Search in Google Scholar

16. Friedel, L., 1980. Pressure drop during gas/vapor–liquid flow in pipes. International Chemical Engineering 20, 352–367.Search in Google Scholar

17. Garimella, S., Killion J., Coleman, J.W., 2003. An experimental validated model for two phase pressure drop in the intermittent flow regime for noncircular microchannels. Journal of Fluids Engineering 125, 887–894.Search in Google Scholar

18. Grauso, S., Mastrullo, R., Mauro, A.W., Thome J.R., Vanoli, G.P., 2013. Flow pattern map, heat transfer and pressure drops during evaporation of R-1234ze(E) and R134a in a horizontal, circular smooth tube: Experiments and assessment of predictive methods. International Journal of Refrigeration 36, 478–491.Search in Google Scholar

19. Hossain, M., Onaka, Y., Miyara, A., 2012. Experimental study on condensation heat transfer and pressure drop in horizontal smooth tube for R1234ze(E), R32 and R410A. International Journal of Refrigeration 35, pp. 927–938.Search in Google Scholar

20. International Standard Organization. 1998. EN ISO 4287:1998/A1, Geometrical Product Specifications (GPS) – Surface Texture: Profile method – Terms, definitions and surface texture parameters.Search in Google Scholar

21. Kyoto Protocol. 1997. Kyoto Protocol to the United Nations Framework Convention on Climate Change, United Nations (UN), New York.Search in Google Scholar

22. Kondou, C., BaBa, D., Mishima, F., Koyama, S., 2013. Flow boiling of non-azeotropic mixture R32/R1234ze(E) in horizontal microfin tubes. International Journal of Refrigeration 36, 2366–2378.Search in Google Scholar

23. Lemmon, E.W., Huber, M.L., McLinden, M.O, 2013. NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 9.1, National Institute of Standards and Technology, Standard Reference Data Program, Gaithersburg.Search in Google Scholar

24. Maqbool, M., Palm B., Khodabandeh, R., 2013. Investigation of two phase heat transfer and pressure drop of propane in a vertical circular minichannel. Experimental Thermal and Fluid Science 46, 120–130.Search in Google Scholar

25. Moody, L.F., Princeton, N.J., 1944. Friction factors for pipe flow. Transactions of the ASME 11, 671–684.Search in Google Scholar

26. Moser, K.W., Webb, R.L., Na, B., 1998. A new equivalent Reynolds number model for condensation in smooth tubes. Journal of Heat Transfer 120, 410–417.Search in Google Scholar

27. Müller-Steinhagen, H., Heck, K., 1986. A simple friction pressure drop correlation for two-phase flow in pipes. Chemical Engineering Progress 20, 297–308.Search in Google Scholar

28. Paleev, I.I., Filippovich, B.S., 1966. Phenomena of liquid transfer in two-phase dispersed annular flow. International Journal of Heat Mass Transfer 9, 1089–1093.Search in Google Scholar

29. Revellin, R., Thome, J. R., 2007. Adiabatic two-phase frictional pressure drops in microchannels. Experimental Thermal and Fluid Science 31, 673–685.Search in Google Scholar

30. Zhang, M., Webb, R.L., 2001. Correlation of two-phase friction for refrigerants in small-diameter tubes. Experimental Thermal and Fluid Science 25, 131–139.Search in Google Scholar

Published Online: 2015-9-30
Published in Print: 2015-12-1

©2015 by De Gruyter

Downloaded on 17.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/ijcre-2014-0180/html
Scroll to top button