## 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

**Stan**

Babes-Bolyai University, Romania

**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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## About this paper

##### Publisher Name

Babes-Bolyai University

##### Paper on journal website

##### Print ISSN

0252-1938

##### Online ISSN

2065-961x

## MR

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## ZBL

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## Google Scholar

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*Sullo scorimento nello strato limite 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. Babes-Bolyai, ser. Physica, 1, 1972, 71.

[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.