Computational Fluid Dynamics Study on Water Flow in a Hollow Helical Pipe
Affiliation(s)
Young Researchers and Elite Club, Darab Branch, Islamic Azad University, Darab, Iran. Young Researchers and Elite Club, Shoushtar Branch, Islamic Azad University, Shoushtar, Iran. Young Researchers and Elite Club, Shiraz Branch, Islamic Azad University, Shiraz, Iran.
Young Researchers and Elite Club, Darab Branch, Islamic Azad University, Darab, Iran. Young Researchers and Elite Club, Shoushtar Branch, Islamic Azad University, Shoushtar, Iran. Young Researchers and Elite Club, Shiraz Branch, Islamic Azad University, Shiraz, Iran.
ABSTRACT
Although curved pipes are used in a wide range of applications, flow in curved pipes is relatively less well known than that in straight ducts. This paper presents a computational fluid dynamics study of isothermal laminar single-phase flow of water in a hollow helical pipe at various Reynolds numbers. The ranging of Reynolds numbers of fluid was from 703.2 to 1687.7. The three dimensional governing equations for mass and momentum have been solved. It was found that with increasing Reynolds number and creation of centrifugal forces, a high velocity and pressure region occurs between two tubes, at the outer side of the hollow helical pipe walls. Friction factor decreases as the tendency for turbulence increases.
Although curved pipes are used in a wide range of applications, flow in curved pipes is relatively less well known than that in straight ducts. This paper presents a computational fluid dynamics study of isothermal laminar single-phase flow of water in a hollow helical pipe at various Reynolds numbers. The ranging of Reynolds numbers of fluid was from 703.2 to 1687.7. The three dimensional governing equations for mass and momentum have been solved. It was found that with increasing Reynolds number and creation of centrifugal forces, a high velocity and pressure region occurs between two tubes, at the outer side of the hollow helical pipe walls. Friction factor decreases as the tendency for turbulence increases.
Cite this paper
Ahmadloo, E. , Sobhanifar, N. and Hosseini, F. (2014) Computational Fluid Dynamics Study on Water Flow in a Hollow Helical Pipe. Open Journal of Fluid Dynamics, 4, 133-139. doi: 10.4236/ojfd.2014.42012.
Ahmadloo, E. , Sobhanifar, N. and Hosseini, F. (2014) Computational Fluid Dynamics Study on Water Flow in a Hollow Helical Pipe. Open Journal of Fluid Dynamics, 4, 133-139. doi: 10.4236/ojfd.2014.42012.
References
[1] Ali, S. (2001) Pressure Drop Correlations for Flow through Regular Helical Coil Tubes. Fluid Dynamics Research, 28, 295-310.
http://dx.doi.org/10.1016/S0169-5983(00)00034-4 [2] Carelli, M.D., Conway, L.E., Oriani, L., Petrovic, B., Lombardi, C.V., Ricotti, M.E., Barroso, A.C.O., Collado, J.M., Cinotti, L., Todreas, N.E., Grgic, D., Moraes, M.M., Boroughs, R.D., Ninokata, H., Ingersoll, D.T. and Oriolo, F. (2004) The Design and Safety Features of the IRIS Reactor. Nuclear Engineering and Design, 230, 151-167.
http://dx.doi.org/10.1016/j.nucengdes.2003.11.022 [3] Berger, S.A., Talbot, L. and Yao, L.S. (1983) Flow in Curved Pipes. Annual Review of Fluid Mechanics, 15, 461-512.
http://dx.doi.org/10.1146/annurev.fl.15.010183.002333 [4] Akagawa, K., Sakaguchi, T. and Ueda, M. (1971) Study on Gas-Liquid Two-Phase Flow in Helically Coiled Tubes. Bulletin of JSME, 14, 564-571.
http://dx.doi.org/10.1299/jsme1958.14.564 [5] Chen, X.J. and Zhou, F.D. (1981) An Investigation of Flow Pattern and Frictional Pressure Drop Characteristics of Air-Water Two-Phase Flow in Helical Coils. Procceedings of the Fourth Miami International Conference on Alternate Energy Sources, 120-129. [6] Unal, H.C., Van Gasself, M.L.G. and Von’t Versalt, P.M. (1981) Dryout and Two-Phase Flow Pressure Drop in Sodium Heated Helically Coiled Steam Generators Tubes at Elevated Pressure. International Journal of Heat and Mass Transfer, 24, 285-298.
http://dx.doi.org/10.1016/0017-9310(81)90036-3 [7] Nariai, H., Kobayashi, M. and Matsuoka, T. (1982) Friction Pressure Drop and Heat Transfer Coefficient of Two-Phase Flow in Helically Coiled Tube Once-Through Steam Generator for Integrated Type Marine Water Reactor. Journal of Nuclear Science and Technology, 109, 936-947.
http://dx.doi.org/10.1080/18811248.1982.9734239 [8] Watanabe, O., Tajima, O. and Shimoya, O. (1986) Flow and Heat Transfer of Gas and Liquid Two-Phase Flow in Helical Coils. Transactions on JSME, 52, 1857-1864. http://dx.doi.org/10.1299/kikaib.52.1857 [9] Guo, L.J., Chen, X.J., Zhang, S.K. and Feng, Z.P. (1994) Correlation for Predicting Pressure Drop of Single and Two-Phase Flow through Horizontal Helically Coiled Tubes. Proceedings of the Third International Symposium on Multiphase Flow and Heat Transfer, Xi’an, 514-521. [10] Naphon, P. and Wongwises, S. (2006) A Review of Flow and Heat Transfer Characteristics in Curved Tubes. Renewable and Sustainable Energy Reviews, 10, 463-490.
http://dx.doi.org/10.1016/j.rser.2004.09.014 [11] Moawed, M. (2011) Experimental Study of Forced Convection from Helical Coiled Tubes with Different Parameters. Energy Conversion and Management, 2, 1150-1156.
http://dx.doi.org/10.1016/j.enconman.2010.09.009 [12] Austen, D.S. and Soliman, H.M. (1988) Laminar Flow and Heat Transfer in Helically Coiled Tubes with Substantial Pitch. Journal of Experimental Thermal and Fluid Science, 1, 183-194.
http://dx.doi.org/10.1016/0894-1777(88)90035-0 [13] Choi, H.K. and Park, S.O. (1992) Laminar Entrance Flow in Curved Annular Ducts. International Journal of Heat and Fluid Flow, 13, 41-49.
http://dx.doi.org/10.1016/0142-727X(92)90058-H [14] Karahalios, G.T. (1990) Mixed-Convection Flow in a Heated Curved Pipe with Core. Physics of Fluids, 2, 2164-2175.
http://dx.doi.org/10.1063/1.857803 [15] Xin, R.C., Awwad, A., Dong, Z.F. and Ebadian, M.A. (1997) An Experimental Study of Single-Phase and Two-Phase Flow Pressure Drop in Annular Helicoidal Pipes. International Journal of Heat and Fluid Flow, 18, 482-488.
http://dx.doi.org/10.1016/S0142-727X(97)80006-9 [16] Manalapaz, R.L. and Churchill, S.W. (1980) Fully Developed Laminar Flow in a Helically Coiled Tube of Finite Pitch. Chemical Engineering Communications, 7, 57-78.
http://dx.doi.org/10.1080/00986448008912549
[1] Ali, S. (2001) Pressure Drop Correlations for Flow through Regular Helical Coil Tubes. Fluid Dynamics Research, 28, 295-310.
http://dx.doi.org/10.1016/S0169-5983(00)00034-4 [2] Carelli, M.D., Conway, L.E., Oriani, L., Petrovic, B., Lombardi, C.V., Ricotti, M.E., Barroso, A.C.O., Collado, J.M., Cinotti, L., Todreas, N.E., Grgic, D., Moraes, M.M., Boroughs, R.D., Ninokata, H., Ingersoll, D.T. and Oriolo, F. (2004) The Design and Safety Features of the IRIS Reactor. Nuclear Engineering and Design, 230, 151-167.
http://dx.doi.org/10.1016/j.nucengdes.2003.11.022 [3] Berger, S.A., Talbot, L. and Yao, L.S. (1983) Flow in Curved Pipes. Annual Review of Fluid Mechanics, 15, 461-512.
http://dx.doi.org/10.1146/annurev.fl.15.010183.002333 [4] Akagawa, K., Sakaguchi, T. and Ueda, M. (1971) Study on Gas-Liquid Two-Phase Flow in Helically Coiled Tubes. Bulletin of JSME, 14, 564-571.
http://dx.doi.org/10.1299/jsme1958.14.564 [5] Chen, X.J. and Zhou, F.D. (1981) An Investigation of Flow Pattern and Frictional Pressure Drop Characteristics of Air-Water Two-Phase Flow in Helical Coils. Procceedings of the Fourth Miami International Conference on Alternate Energy Sources, 120-129. [6] Unal, H.C., Van Gasself, M.L.G. and Von’t Versalt, P.M. (1981) Dryout and Two-Phase Flow Pressure Drop in Sodium Heated Helically Coiled Steam Generators Tubes at Elevated Pressure. International Journal of Heat and Mass Transfer, 24, 285-298.
http://dx.doi.org/10.1016/0017-9310(81)90036-3 [7] Nariai, H., Kobayashi, M. and Matsuoka, T. (1982) Friction Pressure Drop and Heat Transfer Coefficient of Two-Phase Flow in Helically Coiled Tube Once-Through Steam Generator for Integrated Type Marine Water Reactor. Journal of Nuclear Science and Technology, 109, 936-947.
http://dx.doi.org/10.1080/18811248.1982.9734239 [8] Watanabe, O., Tajima, O. and Shimoya, O. (1986) Flow and Heat Transfer of Gas and Liquid Two-Phase Flow in Helical Coils. Transactions on JSME, 52, 1857-1864. http://dx.doi.org/10.1299/kikaib.52.1857 [9] Guo, L.J., Chen, X.J., Zhang, S.K. and Feng, Z.P. (1994) Correlation for Predicting Pressure Drop of Single and Two-Phase Flow through Horizontal Helically Coiled Tubes. Proceedings of the Third International Symposium on Multiphase Flow and Heat Transfer, Xi’an, 514-521. [10] Naphon, P. and Wongwises, S. (2006) A Review of Flow and Heat Transfer Characteristics in Curved Tubes. Renewable and Sustainable Energy Reviews, 10, 463-490.
http://dx.doi.org/10.1016/j.rser.2004.09.014 [11] Moawed, M. (2011) Experimental Study of Forced Convection from Helical Coiled Tubes with Different Parameters. Energy Conversion and Management, 2, 1150-1156.
http://dx.doi.org/10.1016/j.enconman.2010.09.009 [12] Austen, D.S. and Soliman, H.M. (1988) Laminar Flow and Heat Transfer in Helically Coiled Tubes with Substantial Pitch. Journal of Experimental Thermal and Fluid Science, 1, 183-194.
http://dx.doi.org/10.1016/0894-1777(88)90035-0 [13] Choi, H.K. and Park, S.O. (1992) Laminar Entrance Flow in Curved Annular Ducts. International Journal of Heat and Fluid Flow, 13, 41-49.
http://dx.doi.org/10.1016/0142-727X(92)90058-H [14] Karahalios, G.T. (1990) Mixed-Convection Flow in a Heated Curved Pipe with Core. Physics of Fluids, 2, 2164-2175.
http://dx.doi.org/10.1063/1.857803 [15] Xin, R.C., Awwad, A., Dong, Z.F. and Ebadian, M.A. (1997) An Experimental Study of Single-Phase and Two-Phase Flow Pressure Drop in Annular Helicoidal Pipes. International Journal of Heat and Fluid Flow, 18, 482-488.
http://dx.doi.org/10.1016/S0142-727X(97)80006-9 [16] Manalapaz, R.L. and Churchill, S.W. (1980) Fully Developed Laminar Flow in a Helically Coiled Tube of Finite Pitch. Chemical Engineering Communications, 7, 57-78.
http://dx.doi.org/10.1080/00986448008912549