Experimental and Mathematical Study of the Capillary Effect in Microflow Inside Polypropylene Hollow Fiber Tubes

Main Article Content

Amjed Abdulelah
Luma F. Ali

Abstract

Polypropylene (PP) capillary microtubes hold strong potential for use in advanced liquid cooling systems, but their internal flow behavior remains insufficiently understood. Critical factors—such as capillarity, flow regime, and pressure drop—directly influence their thermal performance and practical applicability. Despite their relevance, detailed studies on these parameters in PP hollow fiber microtubes are lacking. This study addresses that gap through a combined mathematical and microscopic investigation of water flow inside PP microtubes with a 0.6 mm inner diameter. Results show that capillary effects are negligible across all tested conditions, contributing only ~0.2% to ~2.7% to the total pressure drop. Moreover, capillary pressure remained largely unaffected by changes in water temperature. The extremely low Knudsen number (~4×10⁻⁷) confirms continuum flow behavior, justifying the use of classical models like the Reynolds analogy. These findings deepen our understanding of flow dynamics in PP microtubes and support their integration into micro-scale thermal management systems.

Downloads

Download data is not yet available.

Article Details

Section

Articles

How to Cite

“Experimental and Mathematical Study of the Capillary Effect in Microflow Inside Polypropylene Hollow Fiber Tubes” (2025) Journal of Engineering, 31(11), pp. 20–35. doi:10.31026/j.eng.2025.11.02.

References

Aa, T. and Raudensky, M, 2019. Mass production and applications of polymeric hollow-fiber heat exchangers. SF Journal of Material and Chemical Engineering, 2(1), P. 1012.

Ahmed, H.E., Ali Aljubury, I.M., Farhan, A.A. and Jehad, M.G., 2022. A new microchannel heat sink design using porous media inserts. Jordan Journal of Mechanical and Industrial Engineering. 16, pp. 225–245.

Ali, I.M. and Jasim, H.A., 2005. An experimental study of capillary tubes behavior with R-12 and R-134a. Al-Khwarizmi Engineering Journal, 1, pp. 73–82.

Aljubury, I.M.A. and Mohammed, M.A., 2019. Heat Transfer analysis of conventional round tube and microchannel condensers in automotive air conditioning system. Journal of Engineering, 25, pp. 38–56. https://doi.org/10.31026/j.eng.2019.02.03

Aljubury, I.M.A., Mohammed, A.Q. and Neama, M.S., 2017. Experimental and theoretical study of miniature vapor compression cycle using microchannel condenser. Global Journal of Engineering Science and Research Management, 5(4), pp. 63–69. https://doi.org/10.5281/zenodo.801274

Astrouski, I., Raudensky, M., Kudelova, T. and Kroulikova, T., 2020. Fouling of polymeric hollow fiber heat exchangers by air dust. Materials, 13(21), pp. 1–12. https://doi.org/10.3390/ma13214931

Blees M.H. , Winkelman G.B. , Balkenende A.R. and Den Toonder J.M.J. , 2000. The effect of friction on scratch adhesion testing: application to a sol–gel coating on polypropylene. Thin Solid Films, 359(1), pp. 1–13. https://doi.org/10.1016/S0040-6090(99)00729-4

Boeng, J., and Stahelin, R., 2025. In situ evaluation of microchannel evaporators for household refrigerators under dry-coil conditions. Applied Thermal Engineering, 262, p. 125299. https://doi.org/10.1016/j.applthermaleng.2024.125299

Bohacek, J., Raudensky, M. and Karimi-Sibaki, E., 2019. Polymeric hollow fibers: Uniform temperature of Li-ion cells in battery modules. Applied Thermal Engineering, 159(June), p. 113940. https://doi.org/10.1016/j.applthermaleng.2019.113940

Bohacek, J., Raudensky, M., Kroulikova T. and Karimi-Sibaki E., 2019. Polymeric hollow fibers: A supercompact cooling of Li-ion cells. International Journal of Thermal Sciences, 146(August), p. 106060. https://doi.org/10.1016/j.ijthermalsci.2019.106060

Caltagirone, J.P., 2024. Modeling capillary flows by conservation of acceleration and surface energy. International Journal of Multiphase Flow, 171, P. 104672. https://doi.org/https://doi.org/10.1016/j.ijmultiphaseflow.2023.104672.

Cao, B. and Wu, Z., 2025. Microchannel heat sinks for hotspot thermal management: Achieving minimal pressure drop and maximal thermal performance. International Journal of Heat and Mass Transfer, 236, P. 126411. https://doi.org/10.1016/j.ijheatmasstransfer.2024.126411

Cheng K. , Qin Y. L., Wang Z. , Fukunaga T. , Teshima H. and Takahashi K., 2024. Temperature-dependent water slip flow combined with capillary evaporation in graphene nanochannels. International Journal of Heat and Mass Transfer, 225, P. 125451. https://doi.org/https://doi.org/10.1016/j.ijheatmasstransfer.2024.125451.

Crittenden, J.C., Trussell, R.R., Hand, D.W., Howe, K.J. and Tchobanoglous, G., 2012, MWH’s Water Treatment: Principles and Design, Third Edition, ‘Appendix C: Physical Properties of Water. pp. 1861–1862. https://doi.org/10.1002/9781118131473.app3

Fleury, P. and Mathieu J.P., 1963. Physical Mechanics. Treatise on General and Experimental Physics. volume 1.

Fowkes, F.M., 1964. Attractive forces at interfaces. Industrial & Engineering Chemistry, 56(12), pp. 40–52. https://doi.org/10.1021/ie50660a008

Gianino, C., 2006. Measurement of surface tension by the dripping from a needle. Physics Education, 41, P. 440. https://doi.org/10.1088/0031-9120/41/5/010

Goldberg, I.S., Garcia, M., Maswadi, S., Thomas, R.J. and Clark, C.D., 2007. Conduction and convection of heat produced by the attenuation of laser beams in liquids. P. 44.

He, G.Y., Tsao, H.K. and Sheng, Y.J., 2024. Capillary flow in nanoporous media: Effective Laplace pressure. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 699, P. 134499. https://doi.org/https://doi.org/10.1016/j.colsurfa.2024.134499.

Hussain, Z.A. and Aljalawi, N., 2022. Effect of sustainable glass powder on the properties of reactive powder concrete with polypropylene fibers. Engineering, Technology & Applied Science Research, 12(2 SE-), pp. 8388–8392. https://doi.org/10.48084/etasr.4750

Hussein, S.I., Ali, N.A., Khalil, A.S., Muslam, Z.R. and Jawad, M.K., 2024. Enhancement electrical and thermal conductivity of polypropylene doped MWCNT in energy materials application. AIP Conference Proceedings, 3229(1), P. 70017. https://doi.org/10.1063/5.0236824

Jehhef, K.A., 2018. Experimental and numerical study effect of using nanofluids in perforated plate fin heat sink for electronics cooling. Journal of Engineering, 24, P. 1. https://doi.org/10.31026/j.eng.2018.08.01

Jin, K., Krishna, A.B., Wong, Z., Ayyaswamy, P.S., Catton, I. and Fisher, T.S., 2023. Thermohydraulic experiments on a supercritical carbon dioxide–air microtube heat exchanger. International Journal of Heat and Mass Transfer, 203, P. 123840. https://doi.org/10.1016/j.ijheatmasstransfer.2022.123840

Jordanov, I. and Mangovska, B., 2009. Characterization of the surface of mercerized and enzymatic scoured cotton after different temperatures of drying. The Open Textile Journal, 2, pp. 39–47. https://doi.org/10.2174/1876520300902010039

Kůdelová T., Raudenský M. and Bartuli E., 2022. Limits and use of polymeric hollow fibers as material for heat transfer surfaces. 2022 International Congress on Advanced Materials Sciences and Engineering (AMSE), Opatija, Croatia, pp. 1-6, https://doi.org/10.1109/AMSE51862.2022.10036675.

Li, C., Su, L., Chen, Q., Hu, Y., Wang, Q., Zou, J. and Shang, Y., 2025. Prediction of flow boiling characteristics in manifold microchannel radiator based on high heat flux cooling. International Journal of Thermal Sciences, 210, P. 109554. https://doi.org/10.1016/j.ijthermalsci.2024.109554

Liang Z. , Wen H. , Lv Q. , Wen Su and Wang C. , 2025. Comparative performance analysis of microchannel heat sink with different geometric structures. International Journal of Thermal Sciences, 208, P. 109495. https://doi.org/10.1016/j.ijthermalsci.2024.109495

Lin, Y.R. and Wen, T. Y., 2024. On investigation of capillary and pressure involved working constrains for water-driven and sintered-powder heat pipes using a semi-empirical model. Case Studies in Thermal Engineering, 64, P. 105526. https://doi.org/https://doi.org/10.1016/j.csite.2024.105526.

Liu J., Guo H., Zhi X., Lei H., Kai X., Baoan L. and Hailei L., 2018. Heat-transfer characteristics of polymer hollow fiber heat exchanger for vaporization application. AIChE Journal, 64(5), pp. 1783–1792. https://doi.org/10.1002/aic.16049

Ma, D., Liu, Y., Zhang, X. and Xia, G., 2025. Experimental and numerical investigation of the thermohydraulic performance of a variable-period sinusoidal microchannel heat sink. Applied Thermal Engineering, 262, P. 125234. https://doi.org/10.1016/j.applthermaleng.2024.125234

Mohammed, S.A. and Fayyadh, E.M., 2020. Experimental study on heat transfer and flow characteristics in subcooled flow boiling in a microchannel. Journal of Engineering, 26(9), pp. 173–190. https://doi.org/10.31026/j.eng.2020.09.12

Mráz, K., Kroulíková, T. and Resl, O., 2022. Liquid cooling of LED car headlamps using polymeric hollow fibers. Engineering Mechanics 2022, pp. 265–268. https://doi.org/10.21495/51-2-265

Pan X., Jiang Q., Silong Z. and Wen Bao, 2025. Numerical analysis of heat transfer and flow characteristics of methanol surface cracking reaction in microtubes. Thermal Science and Engineering Progress, 57, P. 103138. https://doi.org/10.1016/j.tsep.2024.103138

Qin, Y., Li, B. and Wang, S., 2012. Experimental investigation of a novel polymeric heat exchanger using modified polypropylene hollow fibers. Industrial and Engineering Chemistry Research, 51(2), pp. 882–890. https://doi.org/10.1021/ie202075a

Qiu, Z. and He, C., 2022. Polypropylene hollow-fiber membrane made using the dissolution-induced pores method. Membranes, 12(4). https://doi.org/10.3390/membranes12040384

Raudenský, M., Astrouski, I. and Dohnal, M., 2017. Intensification of heat transfer of polymeric hollow fiber heat exchangers by chaotisation. Applied Thermal Engineering, 113, pp. 632–638. https://doi.org/10.1016/j.applthermaleng.2016.11.038

Seraji, A. and Bajgholi, A., 2022. Dual role of nanoclay in the improvement of the in-situ nanofibrillar morphology in polypropylene/polybutylene terephthalate nanocomposites. Journal of Industrial Textiles, 52, P. 152808372211335. https://doi.org/10.1177/15280837221133570

Siqveland, L. and Skjæveland, S., 2021. Derivations of the Young-Laplace equation. Capillarity, 4, pp. 13–22. https://doi.org/10.46690/capi.2021.02.01

Song, L., Li, B., Zarkadas, D., Christian, S. and Sirkar, K.K., 2010. Polymeric hollow-fiber heat exchangers for thermal desalination processes. Industrial and Engineering Chemistry Research, 49(23), pp. 11961–11977. https://doi.org/10.1021/ie100375b

Standnes D.C., Ebeltoft E., Haugen Å. and Kristoffersen A., 2024. Using the total chemical potential to generalize the capillary pressure concept and therefrom derive a governing equation for two-phase flow in porous media. International Journal of Multiphase Flow, 181, P. 105024.

https://doi.org/https://doi.org/10.1016/j.ijmultiphaseflow.2024.105024.

Thabet, A. and Mobarak, Y., 2016. Predictable models and experimental measurements for electric properties of polypropylene nanocomposite films. International Journal of Electrical and Computer Engineering, 6(1), pp. 120–129.

T'Joen C., Park Y., Wang Q., Sommers A., Han X. and Jacobi A., 2009. A review on polymer heat exchangers for HVAC&R applications. International Journal of Refrigeration, 32(5), pp. 763–779. https://doi.org/10.1016/j.ijrefrig.2008.11.008

Vakilha M., Saghatchi R., Alexiadis A., Yildiz M. and Shadloo M. S., 2024. A fully explicit incompressible smoothed particle hydrodynamics approach for modeling transient heat transfer and thermo-capillary flows. Computers & Fluids, 269, P. 106112. https://doi.org/10.1016/j.compfluid.2023.106112.

Van Oss C. J., 1994. Interfacial Forces in Aqueous Media. Marcel Dekker, New York.

Waisi B.I., Seetha S.M., Nieck E.B., Nijmeijer A. and McCutcheon J.R., 2019. Activated carbon nanofiber nonwovens: improving strength and surface area by tuning fabrication procedure. Industrial and Engineering Chemistry Research, 58(10), pp. 4084–4089. https://doi.org/10.1021/acs.iecr.8b05612

Weiqiang N., Wei H., Jiaqi L. and Qiang L., 2025. Optimizing thermal performance in high-power-density 3D integrated circuits through advanced microchannel structures and multi-layer cooling. Applied Thermal Engineering, 262, P. 125281. https://doi.org/10.1016/j.applthermaleng.2024.125281

White, F.M., 2011. Fluid Mechanics (7th ed.). McGraw-Hill.

Zarkadas, D.M. and Sirkar, K.K., 2004. Polymeric hollow fiber heat exchangers: An alternative for lower temperature applications. Industrial and Engineering Chemistry Research, 43(25), pp. 8093–8106. https://doi.org/10.1021/ie040143k

Zhang P. , Yan H. , Chu X. and Chen X. , 2024. Numerical simulation of droplet formation in a Co-flow microchannel capillary device. Chinese Journal of Analytical Chemistry, 52(10), P. 100439. https://doi.org/10.1016/j.cjac.2024.100439

Zhao J. , Li B. , Li X. , Qin Y. , Li C. and Wang S. , 2013. Numerical simulation of novel polypropylene hollow fiber heat exchanger and analysis of its characteristics. Applied Thermal Engineering, 59(1–2), pp. 134–141. https://doi.org/10.1016/j.applthermaleng.2013.05.025

Zhao Q. , Lu M. , Zhang Y. , Li Q. and Chen X. , 2025. Flow microbubble emission boiling (MEB) in open microchannels for durable and efficient heat dissipation. International Journal of Heat and Mass Transfer, 238, P. 126506. https://doi.org/10.1016/j.ijheatmasstransfer.2024.126506

Zhou J. , Lu M. , Han L. , Zhao Q. , Li Q. and Chen X. , 2025. Topological manifold microchannel cooling for thermal management of divertor in fusion reactor. Energy, 315, P. 134145. https://doi.org/10.1016/j.energy.2024.134145

Similar Articles

You may also start an advanced similarity search for this article.