Exact solution of a nonlinear boundary value problem of the theory of chemical reactors
type: Item
instance of: scholarly article
title: Exact solution of a nonlinear boundary value problem of the theory of chemical reactors
zbMATH Open document ID: 0556.92025
DOI: 10.1016/0021-8928(82)90124-1
author: V. S. Berman
author: V. V. Vostokov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1983-01-01T00:00:00Z
review text: An exact solution is obtained for a nonlinear boundary value model problem of stationary concentration distribution in a one-dimensional tubular isothermal chemical reactor with longitudinal stirring, in which a single chemical reaction takes place. It is show that depending on the values of the problem parameters there are either no stationary modes, a single or two different stationary modes. Regular and singular perturbation methods are used to construct the asymptotic solutions of the problem, and the latter are compared with the exact solutions.
Mathematics Subject Classification ID: 92Exx
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34D10
Mathematics Subject Classification ID: 80A30
zbMATH DE Number: 3887513
zbMATH Keywords: stationary concentration
zbMATH Keywords: one-dimensional tubular isothermal chemical reactor
zbMATH Keywords: longitudinal stirring
zbMATH Keywords: single chemical reaction
zbMATH Keywords: asymptotic solutions
zbMATH Keywords: exact solutions
MaRDI profile type: Publication
full work available at URL: 0021-8928(82)90124-1
OpenAlex ID: W2077818362
cites work: Q5822590
cites work: Q5590218
cites work: The special functions and their approximations. Vol. I, II
cites work: Multiple Solutions and Periodic Oscillations in Nonlinear Diffusion Processes
cites work: Perturbation methods and non-linear hyperbolic waves
cites work: Q5544538
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description: scientific article; zbMATH DE number 3887513