https://doi.org/10.1016/j.dam.2018.11.006. is supported in part by National Research, Development and Innovation Office (2000) Physal Review B, 62, 14975-15011. )-direction, but now plotted on top of each other. Cambridge University Press, Cambridge. When the initial porosity increases, both the char fragmentation time and residual ash number increase, and the fragmentation becomes more acute. Home | About SCIRP | Sitemap | Contact Us. The porosity, The intrinsic minerals will be distributed to the inside of char sites when they generated in the char cluster, the volume fraction, The center of the char model can be represented by (, When the occupied site that contains minerals is removed in the, Because of the large difference of the mineral density, the ash particulate size is adopted to reflect the mass change of ash, which reflects the number and mass characteristics of generated particulates after the, After each run, the residual ash particulates are aggregated in ash box whose size increases geometrically (, 1. Given that equals since, this leads to, Using and integrating the above equation we obtain. In the latter case, the infinite cluster loses members, and a new isolated cluster is created with members. Both the mass and size of ash particulates decrease with the increase of initial porosity at lower temperature. This process has been proven to attain substantially higher sugar yields and concentrations over the conventional single-stage percolation process. Selecting this option will search the current publication in context. grants 104343, 116769; and Operative Program for Human Resources Development 3.6.2-2017-00015. The numbers of fragmentations and residual ash particulates at different initial porosities are shown in Fig. If you need an account, please register here, The current numerical calculation of particulate formation during char, The particulates formed in the process of, In order to make the simulation more relevant to real, In order to facilitate the model programming, we have made some reasonable assumptions: No vaporization of mineral during char, The Monte Carlo’s method is used in the process of distributing pores and minerals in the model. (a) (b) (a) (b) Figure 2 . Fragmentation on batches of coke or char particles during fluidized bed combustion, Formation mechanisms of fine particles generated from coal combustion, A review on particle formation mechanisms during coal combustion, The role of char surface structure development in pulverized fuel combustion, Influence of char fragmentation on ash particle size distributions, 6. Rev. Kondo, J. Gaddy, J., Heitmann, T. and Montfrooij, W. (2014) Journal of Applied Physics, 115, 17E110. Taylor and Francis, London. Moreover, we consider a modified non-monotonous bootstrap percolation on GZN2,pd. We are most thankful to Thomas Vojta for the many discussions regarding the validity of our restricted percolation model. The selection of the candidate area during percolation: (a) eight neighbouring pixels’ region; (b) four neighbouring pixels’ region. Institute of Technology, https://doi.org/10.1016/j.cej.2005.10.001, https://doi.org/10.1016/s0016-2361(99)00259-8, https://doi.org/10.1016/0010-2180(89)90066-7, https://doi.org/10.1016/s0082-0784(00)80625-6, https://doi.org/10.1016/s0082-0784(85)80583-x, https://doi.org/10.1016/0009-2509(87)80167-7, https://doi.org/10.1016/s1540-7489(02)80060-8, https://doi.org/10.1016/j.combustflame.2006.04.009, https://doi.org/10.1016/s0082-0784(06)80136-0, https://doi.org/10.1080/02786829008959455, http://creativecommons.org/licenses/by/4.0/. Effect of porosity on char fragmentation. Heitmann, T., Gaddy, J., Lamsal, J. and Montfrooij, W. (2012) Journal of Physics: Conference Series, 391, 012018- 012020. To sign up for alerts, please log in first. Montfrooij, W., Lamsal, J., Aronson, M., Bennett, M., de Visser, A., Kai, H.Y., Huy, N.T., Yethiraj, M., Lumsden, M. and Qiu, Y. is supported in part by the Knut and Alice Wallenberg Foundation 2016.0357. This latter process is severely impeded in magnetically ordered surroundings. The work of R.K. is supported by grants DARPA/MTO HR0011-16-l-0006 and NSF CRCNS-DMS-13-11165. Harris, A. Article copyright remains as specified within the article. Each site is either blocked or open; open sites are initially empty.A full site is an open site that can be connected to an open site in the top row via a chain of neighboring (left, right, up, down) open sites. (2007) Physical Review B, 76, 052404-052408. We have argued elsewhere [18] that the restricted percolative model might also be relevant to stoichiometric systems, but that relevance requires a few more assumptions than the basic reasoning employed in this paper. We model the system as an n-by-n grid of sites. The modified model can simulate the actual situation that the reactant gas dose not diffuse into the char completely. Second, it is not possible to directly relate the observed powerlaws in quantum critical systems to those of the restricted percolation model. With the increase of porosity, the relative mass and size of residual ash particulates increase slightly in zone I, but they are relatively stable in general. Effect of porosity on particulate formation. We prove the presence of phase transitions in mean-field approximation and provide fairly sharp bounds on the error of the critical parameters. In the authors considered bootstrap percolation process on G n, p with vertices of two different types. Fontes, F.B., Continentino, M.A., Bud’ko, S.L., El-Massalami, M., Sampaio, L.C., Guimarães, A.P., Baggio-Saitovitch, E., Hundley, M.F. CRC, Boca Raton. (1974) Journal of Physics C: Solid State Physics, 7, 1671-1692. We end this section with two remarks. Panel (a) has been reproduced from W. Montfrooij et al., Phys. 2.3. (1996) Physical Review B, 53, 11678-11684. Bernal, O.O., MacLaughlin, D.E., Lukefahr, H.G. B 76, 052404 (2007) (Copyright (2007) by the American Physical Society) and both panels from Ref. Thus, at every percolation step that resulted in a change in the infinite cluster membership probability, we find for the change in cluster moment distribution upon removing sites: where the factor arises because is the number of clusters with members per lattice site. Introduction Globally the total production of oilseeds and oil bearing materials! We have argued that this model bears direct relevance to the behavior of quantum critical system. In summary, we have discussed a restricted version of the standard percolation model. We use cookies to help provide and enhance our service and tailor content and ads. [19] (Copyright (2014) by the American Institute of Physics). Westerkamp, T., Deppe, M., Küchler, R., Brando, M., Geibel, C., Gegenwart, P., Pikul, A.P. S. G. Kang, A. R. Kerstein, J. J. Helble, Simulation of residual ash formation during pulverized coal combustion: Bimodal ash particle size distribution, This option allows users to search by Publication, Volume and Page. In the study, the initial content of included minerals is set as 10%. The dilute-acid pretreatment of biomass solubilizes the hemicellulose fraction in the solid biomass, leaving less solid biomass in the reactor and reducing the bed.

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