Chemical Reaction Effect on Transient Free Convective Flow past an Infinite Moving Vertical Cylinder
An analysis is performed to study the heat and mass transfer on the flow past an infinite moving vertical cylinder, in the presence of first-order chemical reaction. The closed-form solutions of the dimensionless governing partial differential equations are obtained in terms of Bessel's functio...
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Series: | International Journal of Chemical Engineering |
Online Access: | http://dx.doi.org/10.1155/2013/531513 |
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doaj-9309f8c67ea5456aa69f24910c9284112021-07-02T03:02:52ZengHindawi LimitedInternational Journal of Chemical Engineering1687-806X1687-80782013-01-01201310.1155/2013/531513531513Chemical Reaction Effect on Transient Free Convective Flow past an Infinite Moving Vertical CylinderAshish Paul0Rudra Kanta Deka1Department of Mathematical Sciences, Bodoland University, Kokrajhar 783370, IndiaDepartment of Mathematics, Gauhati University, Guwahati 781014, IndiaAn analysis is performed to study the heat and mass transfer on the flow past an infinite moving vertical cylinder, in the presence of first-order chemical reaction. The closed-form solutions of the dimensionless governing partial differential equations are obtained in terms of Bessel's functions and modified Bessel's functions by the Laplace transform technique. The transient velocity profiles, temperature profiles, and concentration profiles are studied for various sets of physical parameters, namely, the chemical reaction parameter, Prandtl number, Schmidt number, thermal Grashof number, mass Grashof number, and time. The skin friction, Nusselt number, and Sherwood number are also obtained and presented in graphs. It is observed that in presence of as well as increase in chemical reaction the flow velocity decreases. Also, in presence of destructive chemical reaction the concentration profile and Sherwood number tend to the steady state at large time.http://dx.doi.org/10.1155/2013/531513 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ashish Paul Rudra Kanta Deka |
spellingShingle |
Ashish Paul Rudra Kanta Deka Chemical Reaction Effect on Transient Free Convective Flow past an Infinite Moving Vertical Cylinder International Journal of Chemical Engineering |
author_facet |
Ashish Paul Rudra Kanta Deka |
author_sort |
Ashish Paul |
title |
Chemical Reaction Effect on Transient Free Convective Flow past an Infinite Moving Vertical Cylinder |
title_short |
Chemical Reaction Effect on Transient Free Convective Flow past an Infinite Moving Vertical Cylinder |
title_full |
Chemical Reaction Effect on Transient Free Convective Flow past an Infinite Moving Vertical Cylinder |
title_fullStr |
Chemical Reaction Effect on Transient Free Convective Flow past an Infinite Moving Vertical Cylinder |
title_full_unstemmed |
Chemical Reaction Effect on Transient Free Convective Flow past an Infinite Moving Vertical Cylinder |
title_sort |
chemical reaction effect on transient free convective flow past an infinite moving vertical cylinder |
publisher |
Hindawi Limited |
series |
International Journal of Chemical Engineering |
issn |
1687-806X 1687-8078 |
publishDate |
2013-01-01 |
description |
An analysis is performed to study the heat and mass transfer on the flow past an infinite moving vertical cylinder, in the presence of first-order chemical reaction. The closed-form solutions of the dimensionless governing partial differential equations are obtained in terms of Bessel's functions and modified Bessel's functions by the Laplace transform technique. The transient velocity profiles, temperature profiles, and concentration profiles are studied for various sets of physical parameters, namely, the chemical reaction parameter, Prandtl number, Schmidt number, thermal Grashof number, mass Grashof number, and time. The skin friction, Nusselt number, and Sherwood number are also obtained and presented in graphs. It is observed that in presence of as well as increase in chemical reaction the flow velocity decreases. Also, in presence of destructive chemical reaction the concentration profile and Sherwood number tend to the steady state at large time. |
url |
http://dx.doi.org/10.1155/2013/531513 |
work_keys_str_mv |
AT ashishpaul chemicalreactioneffectontransientfreeconvectiveflowpastaninfinitemovingverticalcylinder AT rudrakantadeka chemicalreactioneffectontransientfreeconvectiveflowpastaninfinitemovingverticalcylinder |
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1721342321358798848 |