Numerical methods in establishment of concentration profile for the flows with chemical reactions over rotating disk

Abstract

A viscous flow due to a rotating disk involving homogeneous as well as heterogeneous chemical reactions is considered. We simplify the diffusion equation using an asymptotic analysis and reduce this equation to a linear boundary value problem. We solve this problem by a second-order central finite difference  scheme. Some numerical examples are carried out.

Authors

I. Stan
C.I. Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis

Original title (in Romanian)

Metode numerice la stabilirea profilului concentratiei pentru scurgeri cu reactii chimice peste un disc in rotatie

Keywords

 boundary layer; diffusion; viscous incompressible fluid; chemical reaction; homogeneous; heterogeneous; bilocal problem;  central finite difference  scheme;

References

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Cite this paper as

I. Stan, C.I. Gheorghiu, Numerical methods in establishment of concentration profile for the flows with chemical reactions over rotating disk, Studia Univ. Babeş-Bolyai Math., XXII (1977) 73-77.

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Publisher Name

Babes-Bolyai University

Print ISSN

0252-1938

Online ISSN

2065-961x

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References

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References

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

[2] I. Stan,
Efectul barodifuziei în stratul-limită,  Stud. și cercet. de mec. aplicată, 34. 4, 1975, 593.

[3] W. G. Sochran,
 The flow due to rotating disk,  Proc. Cambr. Phyl. Soc., T. 30, 3, 1934, 354.

[4] I. Stan,
 Establishment of concentration profile for the flow near a rotating disk with chemical reactions,  Studia Univ. Babe-Bolyai, ser. Physica, 1, 1972, 71.

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

[6] E. Isaacson, H. B. Keller,
 Analysis of numeral methods,  John Wiley & sons, New York, 1966.

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