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Flow of EMHD nanofluid in curved channel through corrugated walls

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Abstract

The present examination deals with the effects of nanofluids on corrugated walls under the influence of electromagnetohydrodynamic (EMHD) in the curved channel. The investigation is carried out by water-based nanofluids using copper nanoparticle. Firstly performed the mathematical modelling by applying the method of perturbation, we have evaluated analytical solutions for the velocity and temperature. For the corrugations of the two walls periodic sine waves are described for small amplitude either in phase or out of phase. By using numerical calculations we analyzed the corrugation effects on the velocity and temperature for EMHD flow. The physical effects of flow variables like Hartmann number, Volumetric concentration of nanoparticles, Grashof number, Curvature parameter and Heat absorption coefficient are graphically discussed. Moreover, the effect of Curvature parameter on Stresses and Nusselt number is discussed through tables. The velocity and temperature decrease when the curvature parameter is increased. The electromagnetohydrodynamic (EMHD) velocity and temperature distributions show that 0° is the phase difference between the two walls for in phase and the phase difference is equal to the 180° between two walls for out of phase. The important conclusion is that reducing the unobvious wave effect on the velocity and temperature for a small value of amplitude ratio parameter.

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Authors and Affiliations

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

    Madhia Rashid & Sohail Nadeem

  2. Department of Mathematics, Wenzhou University, Wenzhou, 325035, China

    Sohail Nadeem

Authors
  1. Madhia Rashid
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  2. Sohail Nadeem
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Correspondence to Sohail Nadeem.

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Rashid, M., Nadeem, S. Flow of EMHD nanofluid in curved channel through corrugated walls. Appl. Math. J. Chin. Univ. 37, 513–529 (2022). https://doi.org/10.1007/s11766-022-3899-6

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  • DOI: https://doi.org/10.1007/s11766-022-3899-6

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