Experimental investigation of two-phase flow characteristics of nitrogen-CMC solution and nitrogen-XG solution in A 0.8 mm X 0.8 mm square capillary tube in a horizontal position
Abstract
Two-phase gas”“liquid flow in small channels is important in mini/micro heat exchangers, flow chemistry and hydrogen transport subsystems (such as fuel cell manifolds and electrolysers), which require control of pressure loss and stable regimes. However, there is still a limited database of combinations of nitrogen gas and non-Newtonian fluids in square capillary pipes, even though shear-thinning properties can shift the transition map and increase sensitivity to superficial velocity. This study aims to address this issue by experimentally characterizing pressure gradients and flow patterns. Methods include testing nitrogen”“polymer solutions in horizontal 0.8 × 0.8 mm square capillary tubes. The test fluids are carboxymethyl cellulose (CMC) and xanthan gum (XG), at concentrations of 0.2% and 0.4% by mass. The operating range included gas superficial velocity (JG) of 0.3”“7.8 m/s and liquid superficial velocity (JL) of 0.03”“1 m/s. The pressure gradient (Δp/L) was measured differentially, while the interface configuration was recorded for regime identification and flow pattern mapping. The results show that JL primarily controls the base level of Δp/L, while JG triggers a further increase once the transition threshold has been passed. Increasing the concentration from 0.2% to 0.4% raised Δp/L in all JG”“JL combinations and advanced the transition. XG exhibited stronger shear thinning than CMC, resulting in a generally lower Δp/L, narrower churn regions and a more gradual transition from slug to annular flow. Flow pattern maps confirm the presence of a bubbly/plug domain at low JG, churn at medium and high JG”“JL combinations, and annular flow at low JL and high JG. These findings provide an operating window to avoid churn and direct the system towards either stable bubbly/plug or stable annular flow. This is highly relevant for designing low- to medium-pressure hydrogen transport systems in small channels.
Keywords
Two-phase flow; Carboxymethyl cellulose (CMC); Xanthan gum (XG); Pressure gradient; Flow patternReferences
- S.-M. Kim and I. Mudawar, “Universal approach to predicting two-phase frictional pressure drop for mini/micro-channel saturated flow boiling,†International Journal of Heat and Mass Transfer, vol. 58, no. 1–2, pp. 718–734, Mar. 2013, doi: 10.1016/j.ijheatmasstransfer.2012.11.045.
- W. Qu and I. Mudawar, “Measurement and prediction of pressure drop in two-phase micro-channel heat sinks,†International Journal of Heat and Mass Transfer, vol. 46, no. 15, pp. 2737–2753, Jul. 2003, doi: 10.1016/S0017-9310(03)00044-9.
- A. Kawahara, P.-Y. Chung, and M. Kawaji, “Investigation of two-phase flow pattern, void fraction and pressure drop in a microchannel,†International Journal of Multiphase Flow, vol. 28, no. 9, pp. 1411–1435, Sep. 2002, doi: 10.1016/S0301-9322(02)00037-X.
- A. Serizawa, Z. Feng, and Z. Kawara, “Two-phase flow in microchannels,†Experimental Thermal and Fluid Science, vol. 26, no. 6–7, pp. 703–714, Aug. 2002, doi: 10.1016/S0894-1777(02)00175-9.
- K. Feng and H. Zhang, “Pressure drop and flow pattern of gas-non-Newtonian fluid two-phase flow in a square microchannel,†Chemical Engineering Research and Design, vol. 173, pp. 158–169, Sep. 2021, doi: 10.1016/j.cherd.2021.07.010.
- M. Toshimitsu, Y. Yonemoto, and A. Kawahara, “Pressure Change for Single- and Two-Phase Non-Newtonian Flows through Sudden Contraction in Rectangular Microchannel,†Fluids, vol. 6, no. 12, p. 440, Dec. 2021, doi: 10.3390/fluids6120440.
- H. Kusumaningsih, Indarto, A. Kawahara, I. Catrawedarma, and Deendarlianto, “Examining the interfacial behavior of non-Newtonian gas-liquid two-phase flow in horizontal square microchannels,†Flow Measurement and Instrumentation, vol. 96, p. 102548, Apr. 2024, doi: 10.1016/j.flowmeasinst.2024.102548.
- F. Salehi, M. Inanloodoghouz, and M. Karami, “Rheological properties of carboxymethyl cellulose (CMC) solution: Impact of high intensity ultrasound,†Ultrasonics Sonochemistry, vol. 101, p. 106655, Dec. 2023, doi: 10.1016/j.ultsonch.2023.106655.
- P. Wagner, S. Różańska, E. Warmbier, A. Frankiewicz, and J. Różański, “Rheological Properties of Sodium Carboxymethylcellulose Solutions in Dihydroxy Alcohol/Water Mixtures,†Materials, vol. 16, no. 1, p. 418, Jan. 2023, doi: 10.3390/ma16010418.
- A. B. Metzner and J. C. Reed, “Flow of nonâ€newtonian fluids—correlation of the laminar, transition, and turbulentâ€flow regions,†AIChE Journal, vol. 1, no. 4, pp. 434–440, Dec. 1955, doi: 10.1002/aic.690010409.
- F. Delplace and J. C. Leuliet, “Generalized Reynolds number for the flow of power law fluids in cylindrical ducts of arbitrary cross-section,†The Chemical Engineering Journal and the Biochemical Engineering Journal, vol. 56, no. 2, pp. 33–37, Jan. 1995, doi: 10.1016/0923-0467(94)02849-6.
- International Energy Agency, “Global Hydrogen Review 2023,†2023. doi: 10.1787/cb2635f6-en.
- Hydrogen Council, “Hydrogen Insights 2024,†no. February, p. 58, 2024.
- M. Mortazavi, M. Heidari, and S. A. Niknam, “A Discussion About Two-Phase Flow Pressure Drop in Proton Exchange Membrane Fuel Cells,†Heat Transfer Engineering, vol. 41, no. 21, pp. 1784–1799, Nov. 2020, doi: 10.1080/01457632.2019.1670460.
- N. Husein et al., “Experimental investigation of gas-brine liquid flow in horizontal pipeline,†SN Applied Sciences, vol. 2, no. 12, pp. 1–17, 2020, doi: 10.1007/s42452-020-03944-z.
- H. Zhou, K. Meng, W. Chen, and B. Chen, “Two-phase flow evolution and bubble transport characteristics in flow field of proton exchange membrane water electrolyzer based on volume of fluid-coupled electrochemical method,†Journal of Cleaner Production, vol. 425, p. 138988, Nov. 2023, doi: 10.1016/j.jclepro.2023.138988.
- W. Wang, B. Han, B. Cao, and J. Mo, “Three-dimensional numerical simulation of bubble dynamics and design optimization of microchannel in proton exchange membrane water electrolyzers,†International Journal of Hydrogen Energy, vol. 48, no. 93, pp. 36240–36253, Dec. 2023, doi: 10.1016/j.ijhydene.2023.06.021.
- Y. Qiu, R. Zhang, C. Liu, R. Liu, S. Shahgaldi, and P.-C. Sui, “Numerical investigation on two-phase flow of PEM water electrolyzers under high operating pressures,†International Journal of Hydrogen Energy, vol. 105, pp. 817–834, Mar. 2025, doi: 10.1016/j.ijhydene.2025.01.331.
- Z. Liu, Y. Deng, P. Wang, B. Wang, D. Sun, and B. Yu, “Study on the gas-liquid two-phase flow patterns for hydrogen production from electrolytic water,†International Journal of Hydrogen Energy, vol. 60, pp. 711–728, Mar. 2024, doi: 10.1016/j.ijhydene.2024.02.102.
- Sudarja, F. Jayadi, Indarto, Deendarlianto, and A. Widyaparaga, “The effect of liquid viscosity on the gas-liquid two-phase flow pattern in horizontal mini-channel,†in AIP Conference Proceedings, AIP Publishing LLC, 2018, p. 030010. doi: 10.1063/1.5049982.
- S. Sudarja, S. Sukamta, D. Deendarlianto, and I. Indarto, “The Effect of Liquid Viscosity on The Gas-Liquid Two-Phase Flow Pattern in 45o Inclined Capillary Pipe,†Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, vol. 75, no. 1, pp. 48–57, Sep. 2020, doi: 10.37934/arfmts.75.1.4857.
- Sudarja, Sukamta, and Fauzan Saputra, “Investigation of Flow Pattern and Void Fraction of Air and Low Surface Tension Liquid in A 30° Inclined Small Pipe,†Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, vol. 83, no. 2, pp. 73–83, Jun. 2021, doi: 10.37934/arfmts.83.2.7383.
- S. Sukamta, “Two-phase flow pattern of air-water with low viscosity in a 5-degree slope of a capillary pipe,†CFD Letters, vol. 12, no. 2, pp. 115–123, 2020.
- Sukamta, Noviyanto, Sudarja, and Sri Sundari, “Void Fraction Features Using Image Processing on a Clear Capillary Pipe with a 45° Slope to The Horizontal Line of Two-Phase Air-Liquid Flow with High Viscosity,†Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, vol. 83, no. 2, pp. 164–172, Jun. 2021, doi: 10.37934/arfmts.83.2.164172.
- Sukamta, E. Roziantho, and Sudarja, “Experimental study on two-phase flow of gas-liquid with high viscosity in capillary with the slope of 5° against horizontal position,†Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, vol. 69, no. 2, pp. 120–129, 2020, doi: 10.37934/arfmts.69.2.120129.
- C. G. Lopez, S. E. Rogers, R. H. Colby, P. Graham, and J. T. Cabral, “Structure of sodium carboxymethyl cellulose aqueous solutions: A SANS and rheology study,†Journal of Polymer Science Part B: Polymer Physics, vol. 53, no. 7, pp. 492–501, Apr. 2015, doi: 10.1002/polb.23657.
- E. M. Nsengiyumva, M. P. Heitz, and P. Alexandridis, “Salt and Temperature Effects on Xanthan Gum Polysaccharide in Aqueous Solutions,†International Journal of Molecular Sciences, vol. 25, no. 1, p. 490, Dec. 2023, doi: 10.3390/ijms25010490.
- J. Yue, G. Chen, Q. Yuan, L. Luo, and Y. Gonthier, “Hydrodynamics and mass transfer characteristics in gas–liquid flow through a rectangular microchannel,†Chemical Engineering Science, vol. 62, no. 7, pp. 2096–2108, Apr. 2007, doi: 10.1016/j.ces.2006.12.057.
- Z. C. Yang, Q. C. Bi, B. Liu, and K. X. Huang, “Nitrogen/non-Newtonian fluid two-phase upward flow in non-circular microchannels,†International Journal of Multiphase Flow, vol. 36, no. 1, pp. 60–70, Jan. 2010, doi: 10.1016/j.ijmultiphaseflow.2009.07.011.
- Q. Li et al., “Experimental study of Taylor bubble flow in non-Newtonian liquid in a rectangular microchannel,†Chemical Engineering Science, vol. 252, p. 117509, Apr. 2022, doi: 10.1016/j.ces.2022.117509.