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Method of Asymptotic Interpolation in Problems of Chemical Hydrodynamics and Mass Transfer

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Abstract

A new modification of the asymptotic interpolation method is put forward, which uses the known two-sided asymptotics of the solution of a problem and the values of the function in an intermediate region. Special switching functions are suggested for joining the asymptotic solutions. Their constants are determined from their values at specified reference points. By way of an example, this method is applied to some problems of chemical hydrodynamics and mass transfer that have no exact analytical solution. Approximate solutions are obtained for the entire variation range of the characteristic dimensionless parameter. Their accuracy was estimated by collating them with the results of numerical computation.

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Authors and Affiliations

  1. Karpov Institute of Physical Chemistry, State Scientific Center of the Russian Federation, ul. Vorontsovo pole 10, Moscow, 103064, Russia

    A. V. Vyaz'min

  2. Moscow Physicotechnical Institute, Institutskii proezd 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

    I. A. Denisov

  3. Institute of Problems of Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, Moscow, 117526, Russia

    A. D. Polyanin

Authors
  1. A. V. Vyaz'min
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  2. I. A. Denisov
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  3. A. D. Polyanin
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Vyaz'min, A.V., Denisov, I.A. & Polyanin, A.D. Method of Asymptotic Interpolation in Problems of Chemical Hydrodynamics and Mass Transfer. Theoretical Foundations of Chemical Engineering 35, 1–8 (2001). https://doi.org/10.1023/A:1005252031967

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