alexa Theoretical Solution of the Diffusion Equation in Unstable Case
ISSN: 2472-114X

International Journal of Accounting Research
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Research Article

Theoretical Solution of the Diffusion Equation in Unstable Case

Essa KSM1*, Mina AN2, Hamdy HS2 and Khalifa AA2

1Department of Mathematics and Theoretical Physics, Nuclear Research Centre, Atomic energy Authority, Cairo, Egypt

2Faculty of science, Beni -Suef University, Egypt

*Corresponding Author:
Essa KSM
Department of Mathematics and Theoretical Physics
Nuclear Research Centre, Atomic Energy Authority, Cairo, Egypt
Tel: 202-296-4810
E-mail: [email protected]

Received Date: January 18, 2016; Accepted Date: April 27, 2016; Published Date: May 02, 2016

Citation: Essa KSM, Mina AN, Hamdy HS, Khalifa AA (2016) Theoretical Solution of the Diffusion Equation in Unstable Case. Int J Account Res 4:129. doi:10.4172/2472-114X.1000129

Copyright: © 2016 Essa KSM, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

The diffusion equation is solved in two dimensions to obtain the concentration by using separation of variables under the variation of eddy diffusivity which depend on the vertical height in unstable case. Comparing between the predicted and the observed concentrations data of Sulfur hexafluoride (SF6) taken on the Copenhagen in Denmark is done. The statistical method is used to know the best model. One finds that there is agreement between the present, Laplace and separation predicted normalized crosswind integrated concentrations with the observed normalized crosswind integrated concentrations than the predicted Gaussian model.

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