The shooting method in establishment of concentration profiles in diffusive boundary layer

Abstract

A viscous incompressible fluid reacts chemically with a rotating disk. We establish the diffusion equation in the boundary layer  corresponding to the homogeneous as well as to the heterogeneous chemical reactions. The nonlinear two-point boundary value problems for concentration and the vertical component of velocity are solved by shooting method.

Authors

C.I. Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis
I. Stan
Babes-Bolyai University

Original title (in Romanian)

Metoda tirului la stabilirea profilului concentratiei in stratul-limita de difuzie

Keywords

shooting; boundary layer; diffusion; viscous incompressible fluid; chemical reaction; homogeneous; heterogeneous;

References

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Paper coordinates

I. Stan, C.I. Gheorghiu, The shooting method in establishment of concentration profiles in diffusive boundary layer, St. Cerc. Mec. Apl., 37 (1978) no. 3, 353-360.

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About this paper

Journal

Studii si Cercetari de Mecanica Aplicata

Publisher Name

Editura Academiei Republicii Socialiste Romania

Paper on journal website
Print ISSN

0039-4017

Online ISSN

MR

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ZBL

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Google Scholar

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[1] I. Stan, Sullo scorimento nello strato limite con reazioni chimice,  Atti del 1 Congresso nazionale di mec. teor. ed. applic., Udine, 1971, vol. IV, p. 343.

[2] I. Stan,
 Efectul barodifuziei în stratul limită, St. cerc. mec. apl., 34, 4, 593, 1975.

[3] I. Stan și C. Gheorghiu,
 Metode numerice la stabilirea profilului concentrației pentru scurgeri cu reacții chimice peste un disc în rotație,  Studia Univ. Babeș-Bolyai, Mathematica, 1, 1977.

[4] W. G. Cochran,
The flow due to rotating disc,  Proc. Cambr. Phyl. Soc. 30, 3, 354, 1934.

[5] V. G. Levici,
 Fizico-himiceskaia gidrodinamica, Moskva, 1959.

[6] E. Isaacson, H. B. Keller,
 Analysis of numerical methods, John Wiley & Sons, New-York, 1966.

[7] P. Henrici,
 Discrete variable methods in ordinary differential equations,  New York – London – Sydney, 1962, John Wiley & Sons. Inc
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1978

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