References
  -  M.W. Shahzad, M. Burhan, K.C. Ng, A standard primary energy
    approach for comparing desalination processes, npj Clean
    Water, 2 (2019) 1–7, doi: 10.1038/s41545-018-0028-4. 
 
  -  N. Ghaffour, S. Soukane, J.-G. Lee, Y. Kim, A. Alpatova,
    Membrane distillation hybrids for water production and
    energy efficiency enhancement: a critical review, Appl. Energy,
    254 (2019) 113698, doi: 10.1016/j.apenergy.2019.113698. 
 
  -  D. González, J. Amigo, F. Suárez, Membrane distillation:
    perspectives for sustainable and improved desalination,
    Renewable Sustainable Energy Rev., 80 (2017) 238–259. 
 
  -  M. Khayet, Desalination by Membrane Distillation,
    Encyclopedia of Life Support Science (EOLSS), Water and
    Wastewater
    Treatment Technologies, Encyclopedia of Life
    Support Systems (EOLSS), Paris, France, 2010. 
 
  -  Y. Lu, J. Chen, Optimal design of multistage membrane
    distillation systems for water purification, Ind. Eng. Chem. Res.,
    50 (2011) 7345–7354. 
 
  -  J. Minier-Matar, A. Hussain, A. Janson, F. Benyahia, S. Adham,
    Field evaluation of membrane distillation technologies for
    desalination of highly saline brines, Desalination, 351 (2014)
    101–108. 
 
  -  Q.L. Ve, K. Rahaoui, M. Bawahab, H. Faqeha, A. Date,
    A. Akbarzadeh, M.C. Do, Q.L. Nguyen, Experimental
    investigation of heat transfer correlation for direct contact
    membrane distillation, J. Heat Transfer, 142 (2020) 012001,
    doi: 10.1115/1.4044707. 
 
  -  J. Phattaranawik, R. Jiraratananon, Direct contact membrane
    distillation: effect of mass transfer on heat transfer, J. Membr.
    Sci., 188 (2001) 137–143. 
 
  -  E.K. Summers, H.A. Arafat, J.H. Lienhard V, Energy efficiency
    comparison of single-stage membrane distillation (MD)
    desalination cycles in different configurations, Desalination,
    290 (2012) 54–66. 
 
  -  D.U. Lawal, A.E. Khalifa, Flux prediction in direct contact
    membrane distillation, Int. J. Mater. Mech. Manuf., 
    2 (2014)
    302–308.  
  -  K. Nakoa, A. Date, A. Akbarzadeh, A research on water
    desalination using membrane distillation, Desal. Water Treat.,
    56 (2015) 2618–2630. 
 
  -  L.M. Camacho, L. Dumée, J. Zhang, J.-d. Li, M. Duke, J. Gomez,
    S. Gray, Advances in membrane distillation for water desalination
    and purification applications, Water, 5 (2013) 94–196. 
 
  -  A. Ali, J.-H. Tsai, K.-L. Tung, E. Drioli, F. Macedonio, Designing
    and optimization of continuous direct contact membrane
    distillation process, Desalination, 426 (2018) 97–107. 
 
  -  Ó. Andrjesdóttir, C.L. Ong, M. Nabavi, S. Paredes, A.S.G. Khalil,
    B. Michel, D. Poulikakos, An experimentally optimized
    model for heat and mass transfer in direct contact membrane
    distillation, J. Heat Mass Transfer, 
    66 (2013) 855–867.  
  -  D. Winter, J. Koschikowski, M. Wieghaus, Desalination using
    membrane distillation: experimental studies on full scale
    spiral wound modules, J. Membr. Sci., 375 (2011) 104–112. 
 
  -  E. Drioli, A. Ali, F. Macedonio, Membrane distillation: recent
    developments and perspectives, Desalination, 356 (2015)
    56–84. 
 
  -  G. Guan, X. Yang, R. Wang, A.G. Fane, Evaluation of heat
    utilization in membrane distillation desalination system
    integrated with heat recovery, Desalination, 366 (2015) 80–93. 
 
  -  H.C. Duong, P. Cooper, B. Nelemans, T.Y. Cath, L.D. Nghiem,
    Optimising thermal efficiency of direct contact membrane
    distillation by brine recycling for small-scale seawater
    desalination, Desalination, 374 (2015) 1–9. 
 
  -  O.R. Lokare, S. Tavakkoli, V. Khanna, R.D. Vidic, Importance
    of feed recirculation for the overall energy consumption
    in membrane distillation systems, Desalination, 428 (2018)
    250–254. 
 
  -  H. Geng, J. Wang, C. Zhang, P. Li, H. Chang, High water
    recovery of RO brine using multi-stage air gap membrane
    distillation, Desalination, 355 (2015) 178–185. 
 
  -  F. Banat, N. Jwaied, M. Rommel, J. Koschikowski,
    M. Wieghaus, Desalination by a “compact SMADES”
    autonomous solarpowered membrane distillation unit,
    Desalination, 217 (2007) 29–37. 
 
  -  T.-C. Chen, C.-D. Ho, Immediate assisted solar direct contact
    membrane distillation in saline water desalination, J. Membr.
    Sci., 358 (2010) 122–130. 
 
  -  J.H. Lienhard, M.A. Antar, A. Bilton, J. Blanco, G. Zaragoza,
    Solar Desalination, Annu. Rev. Heat Transfer, 15 (2012) 277–347. 
 
  -  K. Charfi, M. Khayet, M.J. Safi, Numerical simulation and
    experimental studies on heat and mass transfer using sweeping
    gas membrane distillation, Desalination, 259 (2010) 84–96. 
 
  -  F. Eleiwi, N. Ghaffour, A.S. Alsaadi, L. Francis, T.M. Laleg-Kirati,
    Dynamic modeling and experimental validation for direct
    contact membrane distillation (DCMD) process, Desalination,
    384 (2016) 1–11. 
 
  -  A.S. Hassan, H.E.S. Fath, M. Darwish, H. Abdulrahim, Dynamic
    performance of vacuum membrane distillation system, Desal.
    Water Treat., 57 (2016) 23196–23205. 
 
  -  A.M. Karam, A.S. Alsaadi, N. Ghaffour, T.M. Laleg-Kirati,
    Analysis of direct contact membrane distillation based on a
    lumped-parameter dynamic predictive model, Desalination,
    402 (2017) 50–61. 
 
  -  E. Ali, J. Orfi, A. Najib, Developing and validating a dynamic
    model of water production by direct-contact membrane
    distillation, PLoS one, 15 (2020) e0230207, doi: 10.1371/journal.
    pone.0230207. 
 
  -  E.M. Ali, J. Saleh, J. Orfi, A. Najib, Developing and validating
    linear dynamic models for direct contact membrane
    distillation during start-up over wide operating conditions,
    Comput. Chem. Eng., 134 (2020) 106678, doi: 10.1016/j.
    compchemeng.2019.106678. 
 
  -  J.S. Kim, J. Chen, H.E. Garcia, Modeling, control, and dynamic
    performance analysis of a reverse osmosis desalination plant
    integrated within hybrid energy systems, Energy, 112 (2016)
    52–66. 
 
  -  N. Al-Bastaki, A. Abbas, Use of fluid instabilities to enhance
    membrane performance: a review, Desalination, 136 (2001)
    255–262. 
 
  -  W. Lai, Q. Ma, H. Lu, S. Weng, J. Fan, H. Fang, Effects of wind
    intermittence and fluctuation on reverse osmosis desalination
    process and solution strategies, Desalination, 395 (2016) 17–27. 
 
  -  B.S. Richards, G.L. Park, T. Pietzsch, A.I. Schäfer, Renewable
    energy powered membrane technology: brackish water
    desalination system operated using real wind fluctuations and
    energy buffering, J. Membr. Sci., 468 (2014) 224–232. 
 
  -  R.D. Gustafson, S.R. Hiibel, A.E. Childress, Membrane
    distillation driven by intermittent and 
    variable-temperature
    waste heat: system arrangements for water production and heat
    storage, Desalination, 448 (2018) 49–59.  
  -  L. Martı́nez-Dı́ez, M.I. Vazquez-Gonzalez, Temperature and
    concentration polarization in membrane distillation of aqueous
    salt solutions, J. Membr. Sci., 156 (1999) 265–273. 
 
  -  L. Martı́nez-Dı́ez, M. Vázquez-González, F. Florido-Dı́az, Study
    of membrane distillation using channel spacers, J. Membr. Sci.,
    144 (1998) 45–56. 
 
  -  M.M. Teoh, S. Bonyadi, T.-S. Chung, Investigation of different
    hollow fiber module designs for flux enhancement in the
    membrane distillation process, J. Membr. Sci., 311 (2008)
    371–379. 
 
  -  E.M. Ali, J. Orfi, A. Najib, Nonlinear dynamic modeling and
    validation of a direct contact membrane distillation for water
    desalination, Appl. Therm. Eng., 179 (2020) 115719, doi:
    10.1016/j.applthermaleng.2020.115719. 
 
  -  E. Ali, J. Orfi, A. Najib, O. Hamdaoui, Understanding the
    dynamic behavior and the effect of feeding policies of a direct
    contact membrane distillation for water desalination, Chem.
    Eng. Commun., 208 (2021) 1737–1756. 
 
  -  G. Naidu, S. Jeong, S. Vigneswaran, Influence of feed/permeate
    velocity on scaling development in a direct contact membrane
    distillation, Sep. Purif. Technol., 125 (2014) 291–300. 
 
  -  S. George, Chemical Process Control: An Introduction to Theory
    and Practice, PTR Prentice Hall, Inc., NJ, USA, 1984.