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Effect of First Order Chemical Reaction on Magneto Convection in a Vertical Double Passage Channel
Department of Mathematics Gulbarga University Gulbarga, Karnataka, India.ORCID iD: 0000-0002-3907-650X
Department of Mathematics, Gulbarga University, Gulbarga, Karnataka, India, and Department of Engineering, University of Sannio, Benevento, Italy.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0002-3907-650X
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2016 (English)In: Engineering Mathematics I: Electromagnetics, Fluid Mechanics, Material Physics and Financial Engineering / [ed] Sergei Silvestrov, Milica Rancic, Springer, 2016, 247-279 p.Chapter in book (Refereed)
Abstract [en]

The objective of this paper is to study magnetohydrodynamic flow in a vertical double passage channel taking into account the presence of the first order chemical reaction. The channel is divided into two passages by means of a thin,perfectly conducting plane baffle and hence the velocity will be individual in each stream. The governing equations are solved by using regular perturbation technique valid for small values of the Brinkman number and differential transform method valid for all values of the Brinkman number. The results are obtained for velocity, temperature and concentration. The effects of various dimensionless parameters such as thermal Grashof number, mass Grashof number, Brinkman number, first order chemical reaction parameter, and Hartman number on the flow variables are discussed and presented graphically for open and short circuits. The validity of solutions obtained by differential transform method and regular perturbation method are in good agreement for small values of the Brinkman number. Further the effects of governing parameters on the volumetric flow rate, species concentration, total heart rate, skin friction and Nusselt number are also observed and tabulated.

Place, publisher, year, edition, pages
Springer, 2016. 247-279 p.
Series
Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009 ; 178
Keyword [en]
chemical reaction, hartman number, Brinkman number
National Category
Computational Mathematics Mathematical Analysis
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-33235DOI: 10.1007/978-3-319-42082-0_15Scopus ID: 2-s2.0-85015332843ISBN: 978-3-319-42081-3 (print)ISBN: 978-3-319-42082-0 (print)OAI: oai:DiVA.org:mdh-33235DiVA: diva2:974107
Projects
FUSION
Available from: 2016-09-23 Created: 2016-09-23 Last updated: 2017-09-04Bibliographically approved

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Publisher's full textScopushttps://link.springer.com/chapter/10.1007/978-3-319-42082-0_15

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Jada, Pratap KumarMetri, Prashant GSilvestrov, Sergei
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