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Electromagnetohydrodynamic nanofluid flow past a porous Riga plate containing gyrotactic microorganism

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Abstract

Here we have numerically examined the effects of EMHD in flow of nanofluid past a porous Riga surface with gyrotactic microorganism and nanoparticles. Modeling is presented via Grinberg term and a Lorentz force parallel to the wall of a Riga plate. The fluid is electrically conducting, and the Lorentz force decreases exponentially. Using shooting method, the obtained governing nonlinear coupled ODEs are solved. Physical impact of all the pertinent parameters are examined using graphs and tables. In particular, we discussed the behavior of temperature, velocity, motile microorganism density and nanoparticle concentration profile. Nusselt and Sherwood numbers are examined with the help of tables. This analysis motivates the recent researchers, and it provides a platform for further study on nanofluid flow with gyrotactic microorganism past a Riga plate. A comparison is also presented with previously published results as a special case of our study.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan

    T. Abbas, T. Hayat & M. Ayub

  2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah, 21589, Saudi Arabia

    T. Hayat & A. Alsaedi

  3. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, China

    M. M. Bhatti

Authors
  1. T. Abbas
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  2. T. Hayat
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  3. M. Ayub
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  4. M. M. Bhatti
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Correspondence to T. Abbas.

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Abbas, T., Hayat, T., Ayub, M. et al. Electromagnetohydrodynamic nanofluid flow past a porous Riga plate containing gyrotactic microorganism. Neural Comput & Applic 31, 1905–1913 (2019). https://doi.org/10.1007/s00521-017-3165-7

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  • DOI: https://doi.org/10.1007/s00521-017-3165-7

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