Analysis of Transport Phenomena in Air Contaminants with Chemical Reaction in the Presence of Electric Field

P. Meenapriya¹

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.1 , pp.69-75, Feb-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i1.6975

Online published on Feb 28, 2019

Copyright © P. Meenapriya . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
An attempt had made to understand the dynamics of dust particles in the atmosphere. Generalised dispersion model is used to describe the transport of chemically reactive pollutant in the couple stress fluid and in the presence of electric field. The analytical results obtained for the concentration as a function of time and the dispersion coefficient for various values of electric number, couple stress parameter and reaction rate parameter. The obtained analytical results are illustrated by graphs and conclusions are made. It is noted that dispersion increases with increase in electric number and couple stress parameter but decreases with increase in reaction rate parameter.

Key-Words / Index Term :
Couple stress fluid, Electric number, Reaction rate parameter

References :
[1] K. Abdella and H. Rasmussen, “Electrohydrodynamic instability of two superposed fluids in normal Electric fields”, Journal of Computational and Applied Mathematics, Vol. 78, pp. 33-61, 1997.
[2] Anju Saini, V.K. Katiyar and Pratibha, “Effect of first order chemical reactions on the dispersion coefficient associated with Laminar flow through lungs”, International Journal of Biomathematics, Vol.7 No. 2, 2014.
[3] Chairat Siripatana, Hathaikarn Thongpan and Arwut Promraksa, “Generalised volumetric dispersion model for a class of two phase reaction”. In the proceedings of the 2017 5th International Conference on science & Engineering in Mathematics, Chemistry and Physics, Indonesia. Vol.820, pp. 1-11, 2017.
[4] Dulal Pal, “Effect of chemical reaction on the dispersion of a solute in a Porous medium”, Journal of Applied Mathematical modeling, Vol. 23, No.7, pp.557-566,1999.
[5] H.G. Georgiadis, E.G Velgaki , “High-frequency Rayleigh waves in materials with micro - structure and couple stress effects”, International Journal of Solids and Structures, Vol. 40 No. 10, pp. 2501-2520, 2003.
[6] W.N. Gill, V. Ananthakrishnan and Allen J. Barduhn, “Laminar dispersion in Capillaries Part 4, The slug stimulus”, An official publication of the American institute of chemical Engineers, Vol. 13, pp. 801, 1967.
[7] W.N. Gill and R. Sankarasubramanian, “Dispersion of a non-uniform slug in time-dependent flow”, Proc. Roy. Soc. London. Series, Vol. A 322, pp. 101,1971.
[8] W.N. Gill and R. Sankarasubramanian , “ Dispersion of a non-uniformly distributed time-variable continuous sources in time-dependent flow”, Proc. Roy. Soc. London. Series, Vol. A 327, pp. 191-208, 1972.
[9] W.N. Gill and R. Sankarasubramanian, “Exact analysis of unsteady convective diffusion”, Proc. Roy. Soc. London. Series, Vol. A 316, pp. 341, 1970.
[10] W.N. Gill , “A note on the solution of Transient dispersion problems”, Proc. Roy. Soc. London, Vol. A 298, pp. 335, 1967.
[11] Kazuhide Ito and Hiroshi Harashima, “Coupled CFD analysis of size distributions on indoor Secondary organic Aerosol derived from Ozone reactions”, Building and Environment, Vol. 46, No. 3, pp. 711-718, 2011.
[12] K.S. Mallika and N. Rudraiah, “Generalized dispersion of unsteady convective diffusion in Couple stresses poorly conducting Fluid bounded by Porous layer in the presence of an Electric field”, World Journal of Engineering, Vol. 8 No.4, pp. 335-346,2011.
[13] Runzhang Xu, Yacheng Liu and Tau Yu, “Global existence of solution for Cauchy problem of multidimensional generalized double dispersion equations”, Nonlinear Analysis: Theory, Methods and Applications, Vol. 71, No.10, pp. 4977-4983, 2009.
[14] D.S. Sankar , Nurul Aini Binti Jaafar and YazariahYatim, “ Non-linear Analysis of Shear augmented dispersion of solutes in Blood flow through narrow Arteries”, Journal of Applied Mathematics, pp. 1-24, 2012.
[15] Sanjeev Kumar Sharma, Jyoti Singh, Anil Kumar, “Modeling of Blood flow through Artery with Magnetic effects”, International Journal of Computer Sciences and Engineering, Vol.6, No. 7 pp. 28-36, 2018.
[16] Anil Kumar and G.C. Sharma, “Performance and analysis of flow between Annular Space Surrounded by a Rotating Coaxial cylinder with Co-axial Cylindrical Porous Medium”, International Journal of Scientific Research in Computer Sciences and Engineering, Vol. 5, No.3, pp. 1-6, 2017.