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Effect of First Order Chemical Reaction on Magneto Convection in a Vertical Double Passage Channel

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Engineering Mathematics I

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 178))

Abstract

The objective of this paper is to study magneto-hydrodynamic 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 heat rate, skin friction and Nusselt number are also observed and tabulated.

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Acknowledgements

One of the authors, J.C. Umavathi, is thankful for the financial support under the UGC-MRP F.43-66/2014 (SR) Project, and also to Prof. Maurizio Sasso, supervisor and Prof. Matteo Savino co-coordinator of the ERUSMUS MUNDUS “Featured Europe and South/south-east Asia mobility Network FUSION” for their support to do Post-Doctoral Research.

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Authors and Affiliations

  1. Department of Mathematics Gulbarga University Gulbarga, Karnataka, India

    J. Pratap Kumar & Jawali C. Umavathi

  2. Department of Engineering, University of Sannio, Benevento, Italy

    Jawali C. Umavathi

  3. Division of Applied Mathematics, The School of Education, Culture and Communication, Mälardalen University, 883, 721 23, Västerås, Sweden

    Prashant G. Metri & Sergei Silvestrov

Authors
  1. J. Pratap Kumar
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  2. Jawali C. Umavathi
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  3. Prashant G. Metri
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  4. Sergei Silvestrov
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Correspondence to J. Pratap Kumar .

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Editors and Affiliations

  1. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Sergei Silvestrov

  2. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Västerås, Sweden

    Milica Rančić

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Pratap Kumar, J., Umavathi, J.C., Metri, P.G., Silvestrov, S. (2016). Effect of First Order Chemical Reaction on Magneto Convection in a Vertical Double Passage Channel. In: Silvestrov, S., Rančić, M. (eds) Engineering Mathematics I. Springer Proceedings in Mathematics & Statistics, vol 178. Springer, Cham. https://doi.org/10.1007/978-3-319-42082-0_15

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