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  • Chemical Engineering  (1)
  • FLUID MECHANICS  (1)
  • Sobolev functions  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Potential analysis 6 (1997), S. 347-353 
    ISSN: 1572-929X
    Keywords: Sobolev functions ; trace ; harmonic measure ; Dirichlet finite.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We investigate the existence of finely continuous Sobolev functions u ∈ $$W^{1,p} (R^n ) $$ which have traces $$u|_{R^{n - 1} } $$ equal to the characteristic function of a bounded set E $$ subset R^{n - 1} $$ . As an application we examine the existence of Dirichlet finite p-harmonic measures on the unit ball of R n.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 43 (1997), S. 2984-2996 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Optimal thermodynamic feed conditions for distillation of ideal binary mixtures are identified through thermodynamic efficiency analysis of distillation columns. Due to simplifying assumptions, temperatures do not appear explicitly in the final thermodynamic efficiency equations. These equations are found to be functions of only feed composition, the thermodynamic state of the feed, and the relative volatility of the more volatile component A with respect to component B! When a single one-phase feed, AB, is used, the preferred state of the feed is all liquid when the amount of heavy component B is greater than 50% and is all uapor when the amount of volatile component A is greater than 50%. For a single two-phase feed, a simple heuristic is presented to adjust the liquid fraction of a given feed to maximize the thermodynamic efficiency of the distillation column. For most binary mixtures, two feeds with the same composition, but one saturated vapor and the other saturated liquid, can improve a distillation column's efficiency substantially. The maximum benefit is obtained for a 50-50 mixture. This two-feed case is less efficient than the single two-phase feed case when the relative volatilities exceed certain calculable values.
    Additional Material: 18 Ill.
    Type of Medium: Electronic Resource
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  • 3
    Publication Date: 2019-06-27
    Description: Finite difference relaxation solutions of the nonlinear small perturbation equations have proven reliable and successful in determining the transonic flowfields about thin airfoils. However, application of the small perturbation approach to thick airfoils usually results in an accuracy less than desirable. The incorporation of Riegels' Rule and time-like damping into the small perturbation approach and their application to thick and thin airfoils in transonic flow are discussed. Studies for thick and thin airfoils are presented. It is concluded that Riegels' Rule and damping should both be included in small perturbation transonic flow calculations.
    Keywords: FLUID MECHANICS
    Type: NASA-CR-138181 , TAMRF-3033-7401 , AIAA Southwestern Student Paper Competition; Arlington, TX; United States
    Format: application/pdf
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