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

See the expanding block below.

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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Journal

Studii si Cercetari de Mecanica Aplicata

Publisher Name

Editura Academiei Republicii Socialiste Romania

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References

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References

[1] I. Stan, Sullo scorimento nello stgrato 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 duc 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 Willey & Sons. Inc

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