Water Vapor Movement on Mass and Heat Transport in the Perspective of Water Vapor Buoyancy: A Review
DOI:
https://doi.org/10.37934/arnht.19.1.1528Keywords:
Mass and heat transport, Porous media, Vapor buoyancy, Vapor flux, Vapor movementAbstract
In 1957, the governing equation of mass and heat transport in the soil or porous media was popularised, now commonly referred to as PdV theory. This governing equation helps to quantify and simulate the water, vapor and heat in porous media. But at the same time, due to the fundamental uncertainty parameter in the equation, it was continuously updated. The equation predicting vapor flux movement in the soil has been the subject of many investigations. The vapor enhancement factor (VEF) was introduced to overcome the issue. When VEF was introduced, a few researchers were able to quantify the factor, but could not provide the guiding mechanism representing the observation. In the latest review from a literature study, we found a new form of equation to improve the VEF. It comes from the basis of the universal gas law, which describes the volume expansion from liquid water to vapor, and also the vapor buoyancy. This study aims to review water vapor movement and vapor buoyancy phenomenon. Also, to identify the parameters of the equations that contribute to the vapor buoyancy effect. The water vapor movement should not be neglected in the governing equation because its contribution to the overall mass movement is significant. Vapor buoyancy is possible to become a mechanism out from VEF. The parameters that contribute to vapor buoyancy effect are gravity, soil temperature, vapor density and water salinity. Clearly, understanding vapor buoyancy effect helps us better predict the distribution of soil temperature and soil moisture content.
Downloads
References
Philip, J. R., and DA de De Vries. "Moisture movement in porous materials under temperature gradients." Eos, Transactions American Geophysical Union 38, no. 2 (1957): 222-232. https://doi.org/10.1029/TR038i002p00222
Richards, Lorenzo Adolph. "Capillary conduction of liquids through porous mediums." physics 1, no. 5 (1931): 318-333. https://doi.org/10.1063/1.1745010
McCarty, Lambert B., Lewis Ray Hubbard, and Virgil Lee Quisenberry. Applied soil physical properties, drainage, and irrigation strategies. Switzerland: Springer International Publishing, 2016. https://doi.org/10.1007/978-3-319-24226-2
Narsilio, Guillermo A., Olivier Buzzi, Stephen Fityus, Tae Sup Yun, and David W. Smith. "Upscaling of Navier–Stokes equations in porous media: Theoretical, numerical and experimental approach." Computers and Geotechnics 36, no. 7 (2009): 1200-1206. https://doi.org/10.1016/j.compgeo.2009.05.006
Zhang, C. Y., Y. D. Zhao, R. R. Zhang, and Y. L. Zheng. "Research on the influence of water vapor diffusion and evaporation on water and heat transfer in frozen soil." Eurasian Soil Science 51 (2018): 1240-1251. https://doi.org/10.1134/S1064229318100150
Qiu, Ruonan, Ge Han, Siwei Li, Feng Tian, Xin Ma, and Wei Gong. "Soil moisture dominates the variation of gross primary productivity during hot drought in drylands." Science of The Total Environment 899 (2023): 165686. https://doi.org/10.1016/j.scitotenv.2023.165686
Milly, P. Christopher D. "Moisture and heat transport in hysteretic, inhomogeneous porous media: A matric head‐based formulation and a numerical model." Water Resources Research 18, no. 3 (1982): 489-498. https://doi.org/10.1029/WR018i003p00489
Cahill, Anthony T., and Marc B. Parlange. "On water vapor transport in field soils." Water Resources Research 34, no. 4 (1998): 731-739. https://doi.org/10.1029/97WR03756
Rose, C. W. "Water transport in soil with a daily temperature wave. II. Analysis." Soil Research 6, no. 1 (1968): 45-57. https://doi.org/10.1071/SR9680045
Goh, Eng Giap, and Kosuke Noborio. "An improved heat flux theory and mathematical equation to estimate water vapor advection as an alternative to mechanistic enhancement factor." Transport in Porous Media 111 (2016): 331-346. https://doi.org/10.1007/s11242-015-0596-4
Zhou, Lizeng, Fengxi Zhou, Sai Ying, and Shuangyang Li. "Study on water and salt migration and deformation properties of unsaturated saline soil under a temperature gradient considering salt adsorption: Numerical simulation and experimental verification." Computers and Geotechnics 134 (2021): 104094. https://doi.org/10.1016/j.compgeo.2021.104094
Wang, Zhuangji, Dennis Timlin, David Fleisher, Wenguang Sun, Sahila Beegum, Sanai Li, Yan Chen, Vangimalla R. Reddy, Katherine Tully, and Robert Horton. "Modeling vapor transfer in soil water and heat simulations: A modularized, partially-coupled approach." Journal of Hydrology 608 (2022): 127541. https://doi.org/10.1016/j.jhydrol.2022.127541
Chen, Z. X., X. X. Guo, L. T. Shao, and S. Q. Li. "On determination method of thermal conductivity of soil solid material." Soils and Foundations 60, no. 1 (2020): 218-228. https://doi.org/10.1016/j.sandf.2020.03.001
Brutsaert, Wilfried. Evaporation into the atmosphere: theory, history and applications. Vol. 1. Springer Science & Business Media, 2013.
Ren, Hongmei, Ang Li, Pinhua Xie, Zhaokun Hu, Jin Xu, Yeyuan Huang, Xiaomei Li et al. "Estimation of the Precipitable Water and Water Vapor Fluxes in the Coastal and Inland Cities of China Using MAX-DOAS." Remote Sensing 13, no. 9 (2021): 1675. https://doi.org/10.3390/rs13091675
Novak, Michael D. "Validity of assuming equilibrium between liquid water and vapor for simulating evaporation." Water Resources Research 55, no. 11 (2019): 9858-9872. https://doi.org/10.1029/2019WR025113
Giap, Sunny Goh Eng, Noranizam bin Mohd Sahil, Mohammad Fadhli Ahmad, Nurul Ameera Mohammad Rasid, and Roslaili Abdul Aziz. "Modelling Water Consumption Efficiency Based on Perlis State Soil Series." Journal of Advanced Research in Applied Sciences and Engineering Technology 28, no. 1 (2022): 25-32. https://doi.org/10.37934/araset.28.1.2532
Rima, Aya, Laurie Lacarrière, Alain Sellier, Ponleu Chhun, and Minh-Ngoc Vu. "Model of water transfer in concrete and rock based on a single state variable to consider simultaneous positive pressure and drying boundary conditions." Nuclear Engineering and Design 413 (2023): 112499. https://doi.org/10.1016/j.nucengdes.2023.112499
Ismail, Nurul Izzatiafifi, Sabarina Md Yunus, Nik Azlin Nik Ariffin, Siti Fatimah Saipuddin, and Ahmad Taufek Abdul Rahman. "Radiological Assessment of Naturally Occurring Radioactive Material (NORMs) in Selected Building Materials." Journal of Advanced Research in Applied Sciences and Engineering Technology 38, no. 1 (2024): 203-209. https://doi.org/10.37934/araset.38.1.203209
Gierke, John S., Neil J. Hutzler, and David B. McKenzie. "Vapor transport in unsaturated soil columns: Implications for vapor extraction." Water Resources Research 28, no. 2 (1992): 323-335. https://doi.org/10.1029/91WR02661
Yoon, Hongkyu, Joong Hoon Kim, Howard M. Liljestrand, and Jeehyeong Khim. "Effect of water content on transient nonequilibrium NAPL–gas mass transfer during soil vapor extraction." Journal of Contaminant Hydrology 54, no. 1-2 (2002): 1-18. https://doi.org/10.1016/S0169-7722(01)00164-4
Zheng, Qi-Teng, Shi-Jin Feng, Shao-Jie Wu, and Xiao-Lei Zhang. "Influence mechanism of thermally enhanced phase change on heat transfer and soil vapour extraction." Journal of Contaminant Hydrology 257 (2023): 104202. https://doi.org/10.1016/j.jconhyd.2023.104202
Iribarne, Julio V., and Warren Lehman Godson, eds. Atmospheric thermodynamics. Vol. 6. Springer Science & Business Media, 2012.
Bergman, Theodore L. Fundamentals of heat and mass transfer. John Wiley & Sons, 2011.
Zeng, Yijian. Coupled dynamics in soil: experimental and numerical studies of energy, momentum and mass transfer. Springer Science & Business Media, 2012. https://doi.org/10.1007/978-3-642-34073-4
He, Zuoyue, Sheng Zhang, Jidong Teng, Yangping Yao, and Daichao Sheng. "A coupled model for liquid water-vapor-heat migration in freezing soils." Cold Regions Science and Technology 148 (2018): 22-28. https://doi.org/10.1016/j.coldregions.2018.01.003
Liang, Sihao, Jidong Teng, Feng Shan, and Sheng Zhang. "A numerical model of vapour transfer and phase change in unsaturated freezing soils." Advances in Civil Engineering 2020 (2020): 1-11. https://doi.org/10.1155/2020/8874919
Hansson, Klas, Jirka Šimůnek, Masaru Mizoguchi, Lars‐Christer Lundin, and Martinus Th Van Genuchten. "Water flow and heat transport in frozen soil: Numerical solution and freeze–thaw applications." Vadose Zone Journal 3, no. 2 (2004): 693-704. https://doi.org/10.2136/vzj2004.0693
Bai, Ruiqiang, Yuanming Lai, Mingyi Zhang, and Jingge Ren. "Study on the coupled heat-water-vapor-mechanics process of unsaturated soils." Journal of Hydrology 585 (2020): 124784. https://doi.org/10.1016/j.jhydrol.2020.124784
Zhang, C. Y., Y. D. Zhao, R. R. Zhang, and Y. L. Zheng. "Research on the influence of water vapor diffusion and evaporation on water and heat transfer in frozen soil." Eurasian Soil Science 51 (2018): 1240-1251. https://doi.org/10.1134/S1064229318100150
Yin, Xiao, Enlong Liu, Bingtang Song, and De Zhang. "Numerical analysis of coupled liquid water, vapor, stress and heat transport in unsaturated freezing soil." Cold Regions Science and Technology 155 (2018): 20-28. https://doi.org/10.1016/j.coldregions.2018.07.008
Pfletschinger, H., K. Prömmel, C. Schüth, M. Herbst, and I. Engelhardt. "Sensitivity of vadose zone water fluxes to climate shifts in arid settings." Vadose zone journal 13, no. 1 (2014). https://doi.org/10.2136/vzj2013.02.0043
Bai, Bing, Tao Xu, Qingke Nie, and Pengpeng Li. "Temperature-driven migration of heavy metal Pb2+ along with moisture movement in unsaturated soils." International Journal of Heat and Mass Transfer 153 (2020): 119573. https://doi.org/10.1016/j.ijheatmasstransfer.2020.119573
Zhenjie, Yang, Muhammad Ameen, Chen Jin, and Zhang Yijie. "Influence of pore structure on steam disinfection heat and mass transfer in Yunnan red loam." Thermal Science and Engineering Progress 47 (2024): 102312. https://doi.org/10.1016/j.tsep.2023.102312
Massman, William J. "A non-equilibrium model for soil heating and moisture transport during extreme surface heating: the soil (heat–moisture–vapor) HMV-model version 1." Geoscientific Model Development 8, no. 11 (2015): 3659-3680. https://doi.org/10.5194/gmd-8-3659-2015
Heitman, J. L., R. Horton, T. Ren, I. N. Nassar, and D. D. Davis. "A test of coupled soil heat and water transfer prediction under transient boundary temperatures." Soil Science Society of America Journal 72, no. 5 (2008): 1197-1207. https://doi.org/10.2136/sssaj2007.0234
Heitman, J. L., R. O. B. E. R. T. Horton, T. U. S. H. E. N. G. Ren, and T. E. Ochsner. "An improved approach for measurement of coupled heat and water transfer in soil cells." Soil Science Society of America Journal 71, no. 3 (2007): 872-880. https://doi.org/10.2136/sssaj2006.0327
Zhang, Xudong, Changjian Shu, Manabu Fujii, Yajun Wu, Peng Ye, and Yiding Bao. "Numerical and experimental study on water-heat-salt transport patterns in shallow bare soil with varying salt contents under evaporative conditions: A comparative investigation." Journal of Hydrology 621 (2023): 129564. https://doi.org/10.1016/j.jhydrol.2023.129564
Teng, Jidong, Xun Zhang, Sheng Zhang, Chenjun Zhao, and Daichao Sheng. "An analytical model for evaporation from unsaturated soil." Computers and Geotechnics 108 (2019): 107-116. https://doi.org/10.1016/j.compgeo.2018.12.005
Othman, Nur Syahmi Izzati Ali, and Sunny Goh Eng Giap. "The Relative Importance of Water Vapor Flux from the Perspective of Heat and Mass Movement." CFD Letters 14, no. 11 (2022): 40-48. https://doi.org/10.37934/cfdl.14.11.4048
Wen, Wei, Yuanming Lai, and Zhemin You. "Numerical modeling of water–heat–vapor–salt transport in unsaturated soil under evaporation." International Journal of Heat and Mass Transfer 159 (2020): 120114. https://doi.org/10.1016/j.ijheatmasstransfer.2020.120114
Wu, Daoyong, Yuanming Lai, and Mingyi Zhang. "Heat and mass transfer effects of ice growth mechanisms in a fully saturated soil." International Journal of Heat and Mass Transfer 86 (2015): 699-709. https://doi.org/10.1016/j.ijheatmasstransfer.2015.03.044
Balugani, E., M. W. Lubczynski, and K. Metselaar. "Evaporation through a dry soil layer: Column experiments." Water Resources Research 57, no. 8 (2021): e2020WR028286. https://doi.org/10.1029/2020WR028286
De Vries, D. A. "Simultaneous transfer of heat and moisture in porous media." Eos, Transactions American Geophysical Union 39, no. 5 (1958): 909-916. https://doi.org/10.1029/TR039i005p00909
Cary, J. W., and S. A. Taylor. "The interaction of the simultaneous diffusions of heat and water vapor." Soil Science Society of America Journal 26, no. 5 (1962): 413-416. https://doi.org/10.2136/sssaj1962.03615995002600050004x
Cary, J. W. "Onsager's Relation and the Non-Isothermal Diffusion of Water Vapor1." The Journal of Physical Chemistry 67, no. 1 (1963): 126-129. https://doi.org/10.1021/j100795a030
Cary, J. W. "An evaporation experiment and its irreversible thermodynamics." International Journal of Heat and Mass Transfer 7, no. 5 (1964): 531-538. https://doi.org/10.1016/0017-9310(64)90050-X
Cary, J. W. "Water flux in moist soil: thermal versus suction gradients." Soil Science 100 (1965): 168-175. https://doi.org/10.1097/00010694-196509000-00004
Cass, A., G. S. Campbell, and T. L. Jones. "Enhancement of thermal water vapor diffusion in soil." Soil Science Society of America Journal 48, no. 1 (1984): 25-32. https://doi.org/10.2136/sssaj1984.03615995004800010005x
Ho, C. K., and S. W. Webb. Enhanced vapor-phase diffusion in porous media-LDRD final report. No. SAND98-2772. Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States), 1999. https://doi.org/10.2172/2628
Shokri, Nima, Peter Lehmann, and Dani Or. "Critical evaluation of enhancement factors for vapor transport through unsaturated porous media." Water resources research 45, no. 10 (2009). https://doi.org/10.1029/2009WR007769
Shahraeeni, Ebrahim, and Dani Or. "Pore scale mechanisms for enhanced vapor transport through partially saturated porous media." Water Resources Research 48, no. 5 (2012). https://doi.org/10.1029/2011WR011036
Lu, Sen, Tusheng Ren, and Robert Horton. "Estimating the components of apparent thermal conductivity of soils at various water contents and temperatures." Geoderma 376 (2020): 114530. https://doi.org/10.1016/j.geoderma.2020.114530
Goh, Eng Giap, and Kosuke Noborio. “Water vapor enhancement factor due to temperature gradient in unsaturated soils,” Meiji University, 2017.
Lopez-Canfin, Clément, Roberto Lázaro, and Enrique P. Sánchez-Cañete. "Water vapor adsorption by dry soils: A potential link between the water and carbon cycles." Science of the Total Environment 824 (2022): 153746. https://doi.org/10.1016/j.scitotenv.2022.153746
Sassenrath, G. F., K. Davis, A. Sassenrath-Cole, and N. Riding. "Exploring the physical, chemical and biological components of soil: Improving soil health for better productive capacity." Kansas Agricultural Experiment Station Research Reports 4, no. 3 (2018): 16. https://doi.org/10.4148/2378-5977.7577
Yao, Sisi. "Study on the Microstructural Features of the Soil Formed by the mixture of soft rock and sand." In Journal of Physics: Conference Series, vol. 1549, no. 2, p. 022079. IOP Publishing, 2020. https://doi.org/10.1088/1742-6596/1549/2/022079
Othman, Nur Syahmi Izzati Ali, and Sunny Goh Eng Giap. "A review on recent studies of buoyancy effect." In AIP Conference Proceedings, vol. 2484, no. 1. AIP Publishing, 2023.
Stull, Ronald B. Practical meteorology: an algebra-based survey of atmospheric science. University of British Columbia, 2015.
Gray, Suzanne Louise, and A. J. Thorpe. "Parcel theory in three dimensions and the calculation of SCAPE." Monthly weather review 129, no. 7 (2001): 1656-1672. https://doi.org/10.1175/1520-0493(2001)129<1656:PTITDA>2.0.CO;2
Gill, Adrian E. Atmosphere-ocean dynamics. Vol. 30. Academic press, 1982.
Seidel, Seth D., and Da Yang. "The lightness of water vapor helps to stabilize tropical climate." Science advances 6, no. 19 (2020): eaba1951. https://doi.org/10.1126/sciadv.aba1951
Li, Jin-Jing, Lu Zhang, Li Zhang, You-Rong Li, and Xiao-Jun Quan. "Experimental study on the effect of surface evaporation on the thermocapillary-buoyancy convection in a shallow annular pool." International Journal of Heat and Mass Transfer 140 (2019): 828-836. https://doi.org/10.1016/j.ijheatmasstransfer.2019.06.062
Misyura, S. Y., R. I. Egorov, V. S. Morozov, and A. S. Zaitsev. "Evaporation of a water layer under local non-isothermal heating." Applied Thermal Engineering 219 (2023): 119383. https://doi.org/10.1016/j.applthermaleng.2022.119383
Rodrigues, Abel, Raul Albuquerque Sardinha, and Gabriel Pita. Fundamental principles of environmental physics. Berlin/Heidelberg, Germany: Springer, 2021. https://doi.org/10.1007/978-3-030-69025-0
Azizi, Youssef, Brahim Benhamou, Nicolas Galanis, and Mohammed El‐Ganaoui. "Buoyancy effects on upward and downward laminar mixed convection heat and mass transfer in a vertical channel." International Journal of Numerical Methods for Heat & Fluid Flow 17, no. 3 (2007): 333-353. https://doi.org/10.1108/09615530710730193
Doswell III, Charles A., and Paul M. Markowski. "Is buoyancy a relative quantity?." Monthly Weather Review 132, no. 4 (2004): 853-863. https://doi.org/10.1175/1520-0493(2004)132<0853:IBARQ>2.0.CO;2
Yang, Da, and Seth D. Seidel. "Vapor buoyancy increases clear-sky thermal emission." Environmental Research: Climate 2, no. 1 (2023): 015006. https://doi.org/10.1088/2752-5295/acba39
Parodi, Antonio, and Kerry Emanuel. "A theory for buoyancy and velocity scales in deep moist convection." Journal of the Atmospheric Sciences 66, no. 11 (2009): 3449-3463. https://doi.org/10.1175/2009JAS3103.1
Crowe, C. T. Vapor-droplet flow equations. No. UCRL-51877. Lawrence Livermore National Lab.(LLNL), Livermore, CA (United States), 1975.
Richter, Jan, Kamil Staněk, Pavel Kopecký, and Jan Tywoniak. "Measurement of water vapor transmission properties using the cup method–error caused by air buoyancy." In Journal of Physics: Conference Series, vol. 2654, no. 1, p. 012038. IOP Publishing, 2023. https://doi.org/10.1088/1742-6596/2654/1/012038
Grabowski, Wojciech W., and Hugh Morrison. "Supersaturation, buoyancy, and deep convection dynamics." Atmospheric Chemistry and Physics 21, no. 18 (2021): 13997-14018. https://doi.org/10.5194/acp-21-13997-2021