Numerical experiment of Reiner–Philippoff nanofluid flow subject to the higher-order slip features, activation energy, and bioconvection

Sami Ullah Khan, Kamel Al-Khaled, M. M. Bhatti*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


The thermal mechanism of nanofluids due to advanced features is the most interesting research area owing to the applications in heat transmit devices, cooling procedure, energy production, etc. The nanofluids with motile microorganisms signify their importance in bio-medical engineering and biotechnology. This research communicates the accessed dynamic feature of Reiner–Philippoff nanofluid with applications of the bioconvection phenomenon. The magnetic force impact and activation energy features are also intended to perform the radiative analysis of Reiner–Philippoff nanomaterial. The slip features higher-order relations are incorporated to analyze the flow. The modifications in the energy equation are suggested by using thermal radiation with nonlinear relationship. The flow equations, which in turn to non-dimensionless form, are numerically tackled with a shooting scheme. A comprehensive thermal analysis for the endorsed parameters is presented. The numerical data is achieved to examine the fluctuation in heat, mass, and motile density function. The simulated results show that the velocity profile improves with Philippoff fluid parameter while a declining change is noticed for the slip parameter. With increase of Philippoff fluid parameter, both temperature and concentration profile declined. The consideration of higher order slip is more effective for increasing the temperature, concentration and microorganisms’ profiles.

Original languageEnglish
Article number100126
JournalPartial Differential Equations in Applied Mathematics
Publication statusPublished - Dec 2021


  • Activation energy
  • Bioconvection flow
  • Reiner–Philippoff nanofluid
  • Shooting technique
  • Thermal radiation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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