Open AccessOpen Access


Numerical Simulation of Reiner–Rivlin Nanofluid Flow under the Influence of Thermal Radiation and Activation Energy over a Rotating Disk

Arfan Shahzad1,2, Muhammad Imran1,*, Muhammad Nawaz Naeem1, Mohsan Raza1

1 Department of Mathematics, Government College University Faisalabad, Faisalabad, 38000, Pakistan
2 Department of Sciences & Humanities, National University of Computer and Emerging Sciences, Chiniot-Faisalabad Campus, Faisalabad, 38000, Pakistan

* Corresponding Author: Muhammad Imran. Email:

(This article belongs to this Special Issue: Recent Trends in Nanofluids: Modelling and Simulations)

Computer Modeling in Engineering & Sciences 2022, 131(3), 1669-1692.


In current study, the numerical computations of Reiner–Rivlin nanofluid flow through a rotational disk under the influence of thermal radiation and Arrhenius activation energy is considered. For innovative physical situations, the motile microorganisms are incorporated too. The multiple slip effects are considered in the boundary conditions. The bioconvection of motile microorganism is utilized alongside nanofluids to provide stability to enhanced thermal transportation. The Bioconvection pattern in various nanoparticles accredits novel applications of biotechnology like the synthesis of biological polymers, biosensors, fuel cells, petroleum engineering, and the natural environment. By deploying some suitable similarity transformation functions, the governing partial differential equations (PDEs) of the flow problem are rehabilitated into dimensionless forms. The accomplished ordinary differential equations (ODEs) are solved numerically through the bvp4c scheme via a built-in function in computational MATLAB software. The upshots of some prominent physical and bioconvection parameters including wall slip parameters, thermophoresis parameter, Brownian motion parameter, Reiner–Revlin nanofluid parameter, Prandtl number, Peclet number, Lewis number, bioconvection Lewis number, and the mixed convection parameter against velocity, temperature, nanoparticles concentration, and density of motile microorganism profiles are dichotomized and pondered through graphs and tables. The presented computations show that the velocity profiles are de-escalated by the wall slip parameters while the thermal and solutal fields are upgraded with augmentation in thermophoresis number and wall slip parameters. The presence of thermal radiation enhances the temperature profile of nanofluid. The concentration profile of nanoparticles is boosted by intensification in activation energy. Furthermore, the increasing values of bioconvection Lewis number and Peclet number decay the motile microorganisms’ field.


Cite This Article

Shahzad, A., Imran, M., Naeem, M. N., Raza, M. (2022). Numerical Simulation of Reiner–Rivlin Nanofluid Flow under the Influence of Thermal Radiation and Activation Energy over a Rotating Disk. CMES-Computer Modeling in Engineering & Sciences, 131(3), 1669–1692.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 1915


  • 806


  • 0


Share Link