Partial Differential Equations in Applied Mathematics (Jun 2024)

A Comparative study of flow and CC heat flux over a magnetic field under the influence of nanomaterial and carbon nanotubes

  • N.J. Vidyarani,
  • Mahesh,
  • M.M. Praveena,
  • D.G. Prakasha,
  • M.R. Krishanamurthy,
  • K Ganesh Kumar,
  • Dilsora Abduvalieva,
  • M. Ijaz Khan

Journal volume & issue
Vol. 10
p. 100696

Abstract

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The aim of this study is to investigate convective heat transfer on a flat surface in the presence of magneto-hydro-dynamic (MHD) flow. The analysis considers the Darcy-Forchheimer porosity medium in the flow. The study focuses on analyzing the heat transfer rate, incorporating joule heating and convective-conductive heat flux effects. The influence of varying fluid properties on the flow behavior is examined. The governing flow equations are initially expressed as partial differential equations (PDEs) and then transformed into ordinary differential equations (ODEs) using appropriate similarity transformations. The numerical method RKF-45 is employed to solve these ODEs. The results highlight the impact of different parameters in the model. It is observed that a higher Darcy parameter leads to a decrease in fluid velocity. Additionally, the performance of carbon nanotubes is superior compared to MoS2 nanoparticles in this study.

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