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  • Description:
  • Comparison of keff\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k_{\text {eff}}$$\end{document} estimated using the analytical model with different experimental measurements for OSi granular beds in the presence of stagnant gas Helium/Air [15, 19]: a comparison of keff\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k_{\text {eff}}$$\end{document} estimated from the analytical model with different values for fitting parameter (ζ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\zeta$$\end{document}) with the experimental measurements of keff\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k_{\text {eff}}$$\end{document} for a granular bed with low solid to gas conductivity ratio (Osi in Helium/Air), b effect of the macroscopic stress (σzz\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma _{zz}$$\end{document}) on keff\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k_{\text {eff}}$$\end{document} for OSi bed in Helium, c effect of the gas pressure on keff\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k_{\text {eff}}$$\end{document} for OSi bed in Helium/Air, compared with keff\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k_{\text {eff}}$$\end{document} from analytical model with and without including the contribution of radiation to effective conductivity, d effect of gas pressure on keff\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k_{\text {eff}}$$\end{document} for OSi beds in Helium/Air showing the characteristic S-curve of Smoluchowski effect. (In the figures, E refers to the experimental measurements, whereas, A refers to the predictions of the proposed analytical model)
  • License:
  • Rights Managed
  • Rights Holder:
  • Springer Nature
  • License Rights Holder:
  • © Springer-Verlag GmbH Germany, part of Springer Nature 2019
  • Asset Type:
  • Image
  • Asset Subtype:
  • Image Orientation:
  • Portrait
  • Image Dimensions:
  • 1502 x 1582
  • Image File Size:
  • 206 KB
  • Creator:
  • Akhil Reddy Peeketi, Marigrazia Moscardini, Simone Pupeschi, Yixiang Gan, Marc Kamlah, Ratna Kumar Annabattula
  • Credit:
  • Peeketi, A. R., Moscardini, M., Pupeschi, S., Gan, Y., Kamlah, M., & Annabattula, R. K. (2019). Analytical estimation of the effective thermal conductivity of a granular bed in a stagnant gas including the Smoluchowski effect. Granular Matter, 21(4), 93. https://doi.org/10.1007/s10035-019-0945-z.
  • Collection:
  • Keywords:
  • Effective thermal conductivity, Pebble bed, Contact conduction, Gap conduction, Discrete element method, Granular assembly, Smoluchowski effect
  • Restrictions:
  • Property Release:
  • No
  • Model Release:
  • No
  • Purchasable:
  • Yes
  • Sensitive Materials:
  • No
  • Article Authors:
  • Akhil Reddy Peeketi, Marigrazia Moscardini, Simone Pupeschi, Yixiang Gan, Marc Kamlah, Ratna Kumar Annabattula
  • Article Copyright Year:
  • 2019
  • Publication Volume:
  • 21
  • Publication Issue:
  • 4
  • Publication Date:
  • 08/31/2019
  • DOI:
  • https://doi.org/10.1007/s10035-019-0945-z

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