About: Dynamics of the Wavy Film Flow Down an Inclined Plane. II. Extended Similarity Profile for Newtonian Liquids.     Goto   Sponge   NotDistinct   Permalink

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  • Macroscopic balance method is a classic approximation in the theory of wavy film flows, see Kapitza (1949), Prokopiou et al. (1991), Wein (1993), Hwang (1994). Due to the mathemati-cal complexity of the related Orr-Sommerfeld problem for non-Newtonian liquids, the macro-scopic balance could be the only accessible method of attacking the problem at present. In the present report, we try to improve the macroscopic balance (MB) method for the Newto-nian fluids by (i) including the effect of normal stress changes into the x-moment balance, and (ii) using more realistic estimate of the time-dependent velocity field. Within the 3rd-order long-wave asymptotic expansion, O(a3), the improved MB method provides the results (celerity, criti-cal Reynolds number, wave number, identical with the solution of the related Orr-Sommerfeld problem. The new results indicate that (i) the improved x-momentum macroscopic balance is a correctly formulated functional property of the velocity field, (ii) the similarity velocity
  • Macroscopic balance method is a classic approximation in the theory of wavy film flows, see Kapitza (1949), Prokopiou et al. (1991), Wein (1993), Hwang (1994). Due to the mathemati-cal complexity of the related Orr-Sommerfeld problem for non-Newtonian liquids, the macro-scopic balance could be the only accessible method of attacking the problem at present. In the present report, we try to improve the macroscopic balance (MB) method for the Newto-nian fluids by (i) including the effect of normal stress changes into the x-moment balance, and (ii) using more realistic estimate of the time-dependent velocity field. Within the 3rd-order long-wave asymptotic expansion, O(a3), the improved MB method provides the results (celerity, criti-cal Reynolds number, wave number, identical with the solution of the related Orr-Sommerfeld problem. The new results indicate that (i) the improved x-momentum macroscopic balance is a correctly formulated functional property of the velocity field, (ii) the similarity velocity (en)
Title
  • Dynamics of the Wavy Film Flow Down an Inclined Plane. II. Extended Similarity Profile for Newtonian Liquids.
  • Dynamics of the Wavy Film Flow Down an Inclined Plane. II. Extended Similarity Profile for Newtonian Liquids. (en)
skos:prefLabel
  • Dynamics of the Wavy Film Flow Down an Inclined Plane. II. Extended Similarity Profile for Newtonian Liquids.
  • Dynamics of the Wavy Film Flow Down an Inclined Plane. II. Extended Similarity Profile for Newtonian Liquids. (en)
skos:notation
  • RIV/67985858:_____/98:27020028!RIV/2003/AV0/A27003/N
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  • 766003
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  • RIV/67985858:_____/98:27020028
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  • wavy film; inclined plane; Newtonian liquids (en)
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  • [009C5E7D16FF]
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  • Praha
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  • Ústav chemických procesů AV ČR
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  • Tihon, Jaroslav
  • Wein, Ondřej
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  • (1)
http://linked.open...n/vavai/riv/zamer
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