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Consequence of Double‐Diffusion Convection and Partial Slip on Magneto‐Oldroyd‐4 Constants Nanofluids with Peristaltic Propulsion in an Asymmetric Channel

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  • Maria Athar
  • Yasir Khan
  • Safia Akram
  • Khalid Saeed
  • A. Alameer
  • Anwar Hussain

Abstract

The double‐diffusive convection is a significant physical phenomenon that arises in fluid mechanics. It is primarily associated with a convection process in which two dissimilar density gradients with varying diffusion rates are considered. The primary goal of this study is to investigate the effects of double‐diffusivity convection and partial slip with an inclined magnetic field on peristaltic propulsion in an asymmetric channel for Oldroyd‐4 constants nanofluids. The flow of an Oldroyd‐4 constant nanofluid is mathematically modeled in the presence of double‐diffusivity convection and a tilted magnetic field. Lubrication methodology is applied to simplify the highly nonlinear system of partial differential equations (PDEs). The numerical scheme is used to calculate the solution of coupled nonlinear PDEs. Furthermore, the effect of changing the parameters associated with slip, thermophoresis, Brownian motion, Grashof number of nanoparticles, Hartmann number, pumping, and trapping are investigated in this article. It is noticed that the temperature rises as the Brownian motion and thermophoresis constraints increases. This is because the growth in the Brownian motion parameter indicates the increase in the kinetic energy of nanoparticles which results in warming up the nanofluid. Also, concentration falls as the Brownian motion and thermophoresis constraints increases.

Suggested Citation

  • Maria Athar & Yasir Khan & Safia Akram & Khalid Saeed & A. Alameer & Anwar Hussain, 2022. "Consequence of Double‐Diffusion Convection and Partial Slip on Magneto‐Oldroyd‐4 Constants Nanofluids with Peristaltic Propulsion in an Asymmetric Channel," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:7634357
    DOI: 10.1155/2022/7634357
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    References listed on IDEAS

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    1. J. Venkatesan & D. S. Sankar & K. Hemalatha & Yazariah Yatim, 2013. "Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, September.
    2. W. Kwang-Hua Chu & J. Fang, 2000. "Peristaltic transport in a slip flow," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 16(3), pages 543-547, August.
    3. J. Venkatesan & D. S. Sankar & K. Hemalatha & Yazariah Yatim, 2013. "Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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