Two Phase Frictional Pressure Drop of Carbon Dioxide in Horizontal Micro Tubes
Two-phase frictional pressure drop data were
obtained for condensation of carbon dioxide in single horizontal
micro tube of inner diameter ranged from 0.6 mm up to 1.6 mm over
mass flow rates from 2.5*10-5 to 17*10-5 kg/s and vapor qualities
from 0.0 to 1.0. The inlet condensing pressure is changed from 33.5
to 45 bars. The saturation temperature ranged from -1.5 oC up to 10
oC. These data have then been compared against three (two-phase)
frictional pressure drop prediction methods. The first method is by
Muller-Steinhagen and Heck (Muller-Steinhagen H, Heck K. A
simple friction pressure drop correlation for two-phase flow in pipes.
Chem. Eng. Process 1986;20:297–308) and that by Gronnerud R.
Investigation of liquid hold-up, flow-resistance and heat transfer in
circulation type evaporators, part IV: two-phase flow resistance in
boiling refrigerants, Annexe 1972. Then the method used by
FriedelL. Improved friction pressures drop in horizontal and vertical
two-phase pipe flow. European Two-Phase Flow Group Meeting,
Paper E2; 1979 June, Ispra, Italy. The methods are used by M.B Ould
Didi et al (2001) “Prediction of two-phase pressure gradients of
refrigerant in horizontal tubes". Int.J.of Refrigeration 25(2002) 935-
947. The best available method for annular flow was that of Muller-
Steinhagen and Heck. It was observed that the peak in the two-phase
frictional pressure gradient is at high vapor qualities.
[1] Yun, R. and Kim, Y. (2004). Two-phase pressure drops of CO2 in mini
tubes and microchannels. Microscale Thermophysical Engineering, 8(3),
259 - 270.
[2] Huai, X., Koyama, S., Zhao, T.S., Shinmura, E., Hidehiko, K. and
Masaki, M. (2004). An experimental study of flow boiling
characteristics of carbon dioxide in multiport mini channels. Applied
Thermal Engineering, 24, 1443-1463.
[3] Ould Didi. M. B, Kattan. N, Thome. J. R. 2002. Prediction of Two
Phase Pressure Gradients of Refrigerants in Horizontal Tubes. Int. J.
Refrigeration. 25: 935-947.
[4] Kattan N., Thome J. R., Favrat D. 1998. Flow boiling in horizontal
tubes: Part I- Development of diabatic two phase flow pattern map. J. of
Heat Transfer. 120: 140-147.
[5] Moreno Quibén. J., Thome. J. R. 2007. Flow Pattern Based Two-Phase
Frictional Pressure Drop Model for Horizontal Tubes, Part I: Diabatic
and Adiabatic Experimental Study. Int. J. Heat Fluid Flow. 28(5):1049-
1059.
[6] Friedel L. 1979. Improved friction pressure drop correlations for
horizontal and vertical two phase pipe flow. Paper E2, European Two
Phase Flow Group Meeting, Ispra, Italy.
[7] Grönnerud R. 1979. Investigation of liquid hold-up, flow-resistance and
heat transfer in circulation type of evaporators, part IV: two-phase flow
resistance in boiling refrigerants. In: Annexe1972-1, Bull. Del-Inst. du
Froid.
[8] M├╝ller-Steinhagen. H., Heck. K. 1986. ASimple Friction Pressure Drop
Correlation forTwo-Phase Flow in Pipes.Chem. Eng. Process, 20: 297-
308.
[9] Rouhani Z, Axelsson E. Calculation of void volume fraction in the sub
cooled and quality boiling regions. Int J Heat Mass Transfer 1970;
13:383-93.
[10] Tribbe C, Muller-Steinhagen H.An evaluation of the performance of
phenomenological models for predicting pressure gradient during gasliquid
flow in horizontal pipelines. Int. J Multiphase Flow 2000 (26)
1019-36.
[11] Refprop. Nist Refrigerant Properties Database 23, Gaithersburg, MD,
1998, Version 6.01.
[1] Yun, R. and Kim, Y. (2004). Two-phase pressure drops of CO2 in mini
tubes and microchannels. Microscale Thermophysical Engineering, 8(3),
259 - 270.
[2] Huai, X., Koyama, S., Zhao, T.S., Shinmura, E., Hidehiko, K. and
Masaki, M. (2004). An experimental study of flow boiling
characteristics of carbon dioxide in multiport mini channels. Applied
Thermal Engineering, 24, 1443-1463.
[3] Ould Didi. M. B, Kattan. N, Thome. J. R. 2002. Prediction of Two
Phase Pressure Gradients of Refrigerants in Horizontal Tubes. Int. J.
Refrigeration. 25: 935-947.
[4] Kattan N., Thome J. R., Favrat D. 1998. Flow boiling in horizontal
tubes: Part I- Development of diabatic two phase flow pattern map. J. of
Heat Transfer. 120: 140-147.
[5] Moreno Quibén. J., Thome. J. R. 2007. Flow Pattern Based Two-Phase
Frictional Pressure Drop Model for Horizontal Tubes, Part I: Diabatic
and Adiabatic Experimental Study. Int. J. Heat Fluid Flow. 28(5):1049-
1059.
[6] Friedel L. 1979. Improved friction pressure drop correlations for
horizontal and vertical two phase pipe flow. Paper E2, European Two
Phase Flow Group Meeting, Ispra, Italy.
[7] Grönnerud R. 1979. Investigation of liquid hold-up, flow-resistance and
heat transfer in circulation type of evaporators, part IV: two-phase flow
resistance in boiling refrigerants. In: Annexe1972-1, Bull. Del-Inst. du
Froid.
[8] M├╝ller-Steinhagen. H., Heck. K. 1986. ASimple Friction Pressure Drop
Correlation forTwo-Phase Flow in Pipes.Chem. Eng. Process, 20: 297-
308.
[9] Rouhani Z, Axelsson E. Calculation of void volume fraction in the sub
cooled and quality boiling regions. Int J Heat Mass Transfer 1970;
13:383-93.
[10] Tribbe C, Muller-Steinhagen H.An evaluation of the performance of
phenomenological models for predicting pressure gradient during gasliquid
flow in horizontal pipelines. Int. J Multiphase Flow 2000 (26)
1019-36.
[11] Refprop. Nist Refrigerant Properties Database 23, Gaithersburg, MD,
1998, Version 6.01.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:61154", author = "M. Tarawneh", title = "Two Phase Frictional Pressure Drop of Carbon Dioxide in Horizontal Micro Tubes", abstract = "Two-phase frictional pressure drop data were
obtained for condensation of carbon dioxide in single horizontal
micro tube of inner diameter ranged from 0.6 mm up to 1.6 mm over
mass flow rates from 2.5*10-5 to 17*10-5 kg/s and vapor qualities
from 0.0 to 1.0. The inlet condensing pressure is changed from 33.5
to 45 bars. The saturation temperature ranged from -1.5 oC up to 10
oC. These data have then been compared against three (two-phase)
frictional pressure drop prediction methods. The first method is by
Muller-Steinhagen and Heck (Muller-Steinhagen H, Heck K. A
simple friction pressure drop correlation for two-phase flow in pipes.
Chem. Eng. Process 1986;20:297–308) and that by Gronnerud R.
Investigation of liquid hold-up, flow-resistance and heat transfer in
circulation type evaporators, part IV: two-phase flow resistance in
boiling refrigerants, Annexe 1972. Then the method used by
FriedelL. Improved friction pressures drop in horizontal and vertical
two-phase pipe flow. European Two-Phase Flow Group Meeting,
Paper E2; 1979 June, Ispra, Italy. The methods are used by M.B Ould
Didi et al (2001) “Prediction of two-phase pressure gradients of
refrigerant in horizontal tubes". Int.J.of Refrigeration 25(2002) 935-
947. The best available method for annular flow was that of Muller-
Steinhagen and Heck. It was observed that the peak in the two-phase
frictional pressure gradient is at high vapor qualities.", keywords = "Two-phase flow, frictional pressure drop, horizontalmicro tube, carbon dioxide, condensers.", volume = "7", number = "5", pages = "905-8", }