Numerical simulation of evaporating wavy falling liquid films in laminar gas streams

Karmakar, Avijit; Acharya, Sumanta

doi:10.1016/j.ijheatmasstransfer.2022.123426

Numerical simulation of evaporating wavy falling liquid films in laminar gas streams

Journal Article · Fri Sep 16 00:00:00 EDT 2022 · International Journal of Heat and Mass Transfer

DOI:https://doi.org/10.1016/j.ijheatmasstransfer.2022.123426· OSTI ID:2423032

^[1]; Acharya, Sumanta ^[1]

Illinois Institute of Technology, Chicago, IL (United States)

Numerical simulations are performed to investigate the interfacial heat and mass transfer from evaporating wavy falling liquid films in interaction with laminar gas streams. The OpenFOAM solver has been used to conduct the simulations where the liquid-gas interface is resolved using the Volume of Fluid method of solving for three phases, i.e., liquid, vapor, and air. The configuration considered is a falling liquid (water) film on a heated vertical plate with a confined laminar moist air (gas) flow that is either (a) co-current or (b) counter-current to the downward liquid flow. The evaporation at the liquid-gas interface is driven by the interfacial gradient of the vapor mass fraction. Interfacial waves are triggered using a monochromatic forcing disturbance that leads to sinusoidal or solitary waves forming at the liquid-gas interface under respective forcing frequencies. Further, the numerical model is validated with the available experimental data. The results show nearly a 15% enhancement in time-averaged Sherwood number (Sh) due to film waviness (sinusoidal or solitary) at the lower volumetric gas flow rate, Q_g = +50 (co-current) and Q_g = -50 (counter-current). This enhancement in the Sh for both the waves further increases by 11% with Q_g = +800 and 196% with Q_g = -800. A closer examination of the mass transfer process over a wave demonstrates that with Q_g = +50, the concentration of the gas side streamlines at the trough locations of the wave leads to higher values of Sh at these locations. However, with Q_g = +800, although the overall Sh increases, vortices appear at the wave trough locations, leading to a corresponding decrease in the local Sh values. Correlations are proposed for predicting Sh under co-current and counter-current gas flow effects.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE Advanced Research Projects Agency - Energy (ARPA-E); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)

Grant/Contract Number:: AC02-05CH11231; AR0000572

OSTI ID:: 2423032

Alternate ID(s):: OSTI ID: 1888329

Journal Information:: International Journal of Heat and Mass Transfer, Journal Name: International Journal of Heat and Mass Transfer Journal Issue: C Vol. 198; ISSN 0017-9310

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (34)

Wave formation on a vertical falling liquid film Alekseenko, S. V.; Nakoryakov, V. Ye.; Pokusaev, B. G. AIChE Journal, Vol. 31, Issue 9 https://doi.org/10.1002/aic.690310907	journal	September 1985
Nonlinear waves in a liquid film entrained by a turbulent gas stream Demekhin, E. A. Fluid Dynamics, Vol. 16, Issue 2 https://doi.org/10.1007/BF01090346	journal	January 1981
Numerical simulation of mixed convection heat and mass transfer with liquid film cooling along an insulated vertical channel Feddaoui, M.; Mir, A.; Belahmidi, E. Heat and Mass Transfer, Vol. 39, Issue 5 https://doi.org/10.1007/s00231-002-0340-9	journal	June 2003
Numerical analysis on flow dynamics and heat transfer of falling liquid films with interfacial waves Miyara, A. Heat and Mass Transfer, Vol. 35, Issue 4 https://doi.org/10.1007/s002310050328	journal	September 1999
Characteristics of two-dimensional waves on a falling liquid film Nosoko, T.; Yoshimura, P. N.; Nagata, T. Chemical Engineering Science, Vol. 51, Issue 5 https://doi.org/10.1016/0009-2509(95)00292-8	journal	March 1996
Evaporation of water into a laminar stream of air and superheated steam Chow, L. C.; Chung, J. N. International Journal of Heat and Mass Transfer, Vol. 26, Issue 3 https://doi.org/10.1016/0017-9310(83)90041-8	journal	March 1983
Evaporative cooling of liquid film through interfacial heat and mass transfer in a vertical channel—I. Experimental study Yan, W. M.; Lin, T. F.; Tsay, Y. L. International Journal of Heat and Mass Transfer, Vol. 34, Issue 4-5 https://doi.org/10.1016/0017-9310(91)90020-F	journal	April 1991
Effects of film evaporation on laminar mixed convection heat and mass transfer in a vertical channel Wei-Mon, Yan International Journal of Heat and Mass Transfer, Vol. 35, Issue 12 https://doi.org/10.1016/0017-9310(92)90228-K	journal	December 1992
A continuum method for modeling surface tension Brackbill, J. U.; Kothe, D. B.; Zemach, C. Journal of Computational Physics, Vol. 100, Issue 2 https://doi.org/10.1016/0021-9991(92)90240-Y	journal	June 1992
Simultaneous heat and mass transfer in laminar mixed convection flows between vertical parallel plates with asymmetric heating Yan, W. M.; Tsay, Y. L.; Lin, T. F. International Journal of Heat and Fluid Flow, Vol. 10, Issue 3 https://doi.org/10.1016/0142-727X(89)90045-3	journal	September 1989
Cooling of a falling liquid film through interfacial heat and mass transfer Tsay, Y. L.; Lin, T. F.; Yan, W. M. International Journal of Multiphase Flow, Vol. 16, Issue 5 https://doi.org/10.1016/0301-9322(90)90008-7	journal	September 1990
Evaporation of a heated falling liquid film into a laminar gas stream Tsay, Y. L.; Lin, T. F. Experimental Thermal and Fluid Science, Vol. 11, Issue 1 https://doi.org/10.1016/0894-1777(94)00112-L	journal	July 1995
Evaporation of water by free convection in a vertical channel including effects of wall radiative properties Debbissi, C.; Orfi, J.; Nasrallah, S. Ben International Journal of Heat and Mass Transfer, Vol. 44, Issue 4 https://doi.org/10.1016/S0017-9310(00)00125-3	journal	February 2001
Evaporation of water by free or mixed convection into humid air and superheated steam Debbissi, C.; Orfi, J.; Ben Nasrallah, S. International Journal of Heat and Mass Transfer, Vol. 46, Issue 24 https://doi.org/10.1016/S0017-9310(03)00092-9	journal	November 2003
Hydrodynamics and heat transfer of wavy thin film flow Jayanti, S.; Hewitt, G. F. International Journal of Heat and Mass Transfer, Vol. 40, Issue 1 https://doi.org/10.1016/S0017-9310(96)00016-6	journal	October 1996
Numerical simulation of wavy liquid film flowing down on a vertical wall and an inclined wall Miyara, Akio International Journal of Thermal Sciences, Vol. 39, Issue 9-11 https://doi.org/10.1016/S1290-0729(00)01192-3	journal	October 2000
The effect of gas streams on the hydrodynamics, heat and mass transfer in falling film evaporation, absorption, cooling and dehumidification: A comprehensive review Zhao, Chuang-Yao; Liang, Li-Wen; Qi, Di Building and Environment, Vol. 219 https://doi.org/10.1016/j.buildenv.2022.109183	journal	July 2022
Absorption of gas into a wavy falling film Sisoev, Grigori M.; Matar, Omar K.; Lawrence, Christopher J. Chemical Engineering Science, Vol. 60, Issue 3 https://doi.org/10.1016/j.ces.2004.09.057	journal	February 2005
DNS of falling film structure and heat transfer via MARS method Kunugi, T.; Kino, C. Computers & Structures, Vol. 83, Issue 6-7 https://doi.org/10.1016/j.compstruc.2004.08.018	journal	February 2005
Mass transfer characteristics of the high temperature falling film evaporation over a vertical wall under countercurrent laminar airflow Li, Cheng; Zhao, Ruichang; Li, Le Experimental Thermal and Fluid Science, Vol. 82 https://doi.org/10.1016/j.expthermflusci.2016.11.018	journal	April 2017
Direct Numerical Simulation of interfacial mass transfer into falling films Albert, Christoph; Marschall, Holger; Bothe, Dieter International Journal of Heat and Mass Transfer, Vol. 69 https://doi.org/10.1016/j.ijheatmasstransfer.2013.10.025	journal	February 2014
Analysis of heat and mass transfer characteristics in vertical plate channels with falling film evaporation under uniform heat flux/uniform wall temperature boundary conditions Wan, Yangda; Ren, Chengqin; Xing, Li International Journal of Heat and Mass Transfer, Vol. 108 https://doi.org/10.1016/j.ijheatmasstransfer.2016.12.110	journal	May 2017
Study on average Nusselt and Sherwood numbers in vertical plate channels with falling water film evaporation Wan, Yangda; Ren, Chengqin; Yang, Yang International Journal of Heat and Mass Transfer, Vol. 110 https://doi.org/10.1016/j.ijheatmasstransfer.2017.03.087	journal	July 2017
Convective heat and mass transfer with evaporation of a falling film in a cavity Ben Jabrallah, S.; Belghith, A.; Corriou, J. P. International Journal of Thermal Sciences, Vol. 45, Issue 1 https://doi.org/10.1016/j.ijthermalsci.2005.05.001	journal	January 2006
Experimental and numerical study of mixed convection heat and mass transfer in a vertical channel with film evaporation Cherif, A. S.; Kassim, M. A.; Benhamou, B. International Journal of Thermal Sciences, Vol. 50, Issue 6 https://doi.org/10.1016/j.ijthermalsci.2011.01.002	journal	June 2011
Numerical simulation of wavy falling film flow using VOF method Gao, D.; Morley, N. B.; Dhir, V. Journal of Computational Physics, Vol. 192, Issue 2 https://doi.org/10.1016/j.jcp.2003.07.013	journal	December 2003
Direct numerical simulation of evaporating droplets Schlottke, Jan; Weigand, Bernhard Journal of Computational Physics, Vol. 227, Issue 10 https://doi.org/10.1016/j.jcp.2008.01.042	journal	May 2008
Experimental study of flow separation in laminar falling liquid films Dietze, Georg F.; Al-Sibai, F.; Kneer, R. Journal of Fluid Mechanics, Vol. 637 https://doi.org/10.1017/S0022112009008155	journal	September 2009
Wavy liquid films in interaction with a confined laminar gas flow Dietze, Georg F.; Ruyer-Quil, Christian Journal of Fluid Mechanics, Vol. 722 https://doi.org/10.1017/jfm.2013.98	journal	March 2013
On the Calculation of Momentum, Heat, and mass Transfer in Laminar and Turbulent Boundary Layer Flows Along a Vaporizing Liquid film Schröppel, J.; Thiele, F. Numerical Heat Transfer, Vol. 6, Issue 4 https://doi.org/10.1080/01495728308963101	journal	October 1983
Evaluating the performance of the two-phase flow solver interFoam Deshpande, Suraj S.; Anumolu, Lakshman; Trujillo, Mario F. Computational Science & Discovery, Vol. 5, Issue 1 https://doi.org/10.1088/1749-4699/5/1/014016	journal	January 2012
Numerical Simulations of Hydrodynamics and Heat Transfer in Wavy Falling Liquid Films on Vertical and Inclined Walls Yu, Hongyi; Gambaryan-Roisman, Tatiana; Stephan, Peter Journal of Heat Transfer, Vol. 135, Issue 10 https://doi.org/10.1115/1.4024550	journal	September 2013
Wave Evolution on a Falling Film Chang, H. Annual Review of Fluid Mechanics, Vol. 26, Issue 1 https://doi.org/10.1146/annurev.fl.26.010194.000535	journal	January 1994
Optimal Regimes of Heat-Mass Transfer in a Falling Film Rastaturin, Aleksey; Demekhin, Evgeny; Kalaidin, Evgeny Journal of Non-Equilibrium Thermodynamics, Vol. 31, Issue 1 https://doi.org/10.1515/JNETDY.2006.001	journal	January 2006

Similar Records

Dynamic response of a liquid-vapor interface during flow film boiling from a sphere

Journal Article · Sat Oct 31 23:00:00 EST 1987 · Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States) · OSTI ID:5344498

Flow dynamics and heat transfer of wavy condensate film

Conference · Thu Jul 01 00:00:00 EDT 1999 · OSTI ID:20030466

The Experimental Analysis of Local Heat and Mass Transfer Data for Vertical Falling Film Absorption

Conference · Sat Nov 13 23:00:00 EST 1999 · OSTI ID:9280

Related Subjects

36 MATERIALS SCIENCE
Co-current and counter-current gas flow
Falling film evaporation
Gas vortices
Sherwood number
Solitary and sinusoidal waves

Numerical simulation of evaporating wavy falling liquid films in laminar gas streams

Citation Formats

References (34)

Similar Records

Related Subjects