Characterizing Quadratic Convection and Electromagnetically Induced Flow of Couple Stress Fluids in Microchannels

• Lijun Zhang ^[1] ; M. M. Bhatti ^[1] ; Efstathios E. Michaelides ^[2] ; R. Ellahi ^[3]
  1. [1] Shandong University of Science and Technology; North-West University (Mafikeng Campus)
  2. [2] Department of Engineering, TCU
  3. [3] International Islamic University; King Fahd University of Petroleum and Minerals

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 1, 2024
• Idioma: inglés
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• Resumen

  • This paper investigates the effects of quadratic convection on the electro-magnetohydrodynamically driven flow of couple stress fluid in a microchannel. The integration of quadratic convection effects and electro-magnetic hydrodynamics in microchannels offers high potential for advancing microfluidic technologies and opening new avenues of innovation. In microfluidic systems, the couple stress fluids describe more accurately the flow mechanisms. The current mathematical modeling offers more details on the impacts of viscous dissipation and joule heating. Analytical series solutions for the temperature and velocity profiles are used with a homotopy perturbation technique.

    The impacts of all the parameters are explored using tables and graphs. The dynamics of velocity and temperature distribution are analyzed in detail. Furthermore, the Nusselt number values are computed and shown using funnel charts. From the graphical results it is concluded that the simultaneous impact of quadratic convection and thermal Grashof number enhances the entire velocity profile over the whole channel.

    The velocity and temperature profile are also observed to increase with increasing Brinkman number. The thermal profile is considerably increased by the Hartmann number, the Grashof number, and the quadratic convection parameter. The thermal profile always has a peak near the center of the channel. The thermal profile is reduced by the couple stress fluid variable parameter. The present study can be of assistance to novel advancements in various fields such as lab-on-a-chip devices, chemical synthesis, and thermal management.

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