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Hydromagnetic flow and heat transfer of a second-grade viscoelastic fluid in a channel with oscillatory stretching walls: application to the dynamics of blood flow

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Abstract

The characteristics of flow and heat transfer of a fluid in a channel with oscillatory stretching walls in the presence of an externally applied magnetic field are investigated. The fluid considered is a second-grade viscoelastic electrically conducting fluid. The partial differential equations that govern the flow are solved by developing a suitable numerical technique. The computational results for the velocity, temperature and the wall shear stress are presented graphically. The study reveals that flow reversal takes place near the central line of the channel. This flow reversal can be reduced to a considerable extent by applying a strong external magnetic field. The results are found to be in good agreement with those of earlier investigations.

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Authors and Affiliations

  1. SOA University, Bhubaneswar, India

    J. C. Misra

  2. Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    G. C. Shit, S. Chandra & P. K. Kundu

Authors
  1. J. C. Misra
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  2. G. C. Shit
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  3. S. Chandra
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  4. P. K. Kundu
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Correspondence to J. C. Misra.

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Misra, J.C., Shit, G.C., Chandra, S. et al. Hydromagnetic flow and heat transfer of a second-grade viscoelastic fluid in a channel with oscillatory stretching walls: application to the dynamics of blood flow. J Eng Math 69, 91–100 (2011). https://doi.org/10.1007/s10665-010-9376-x

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  • DOI: https://doi.org/10.1007/s10665-010-9376-x

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