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Dynamics of Bioconvection on Darcy–Forchheimer Flow of Electromagnetic Reiner–Philippoff Nanofluid With Characteristics of Nonlinear Thermal Radiation and Activation Energy

Muhammad Jawad, Taoufik Saidani, Hanan Ahmad Alsaydi, Suhad Ali Osman Abdallah, Abdullah Alhushaybari

2025Mathematical Methods in the Applied Sciences17 citationsDOIOpen Access PDF

Abstract

ABSTRACT This paper presents a numerical study of the intricate effects of bioconvection on Darcy–Forchheimer flow of Reiner–Philippoff nanofluid over a porous stretching sheet. Thermal radiation involving heat transfer finds widespread applications in fields such as power station engineering, groundwater reservoirs, thermal stratification in natural bodies of water, and atmospheric and oceanic density stratification, as well as in various manufacturing processes. The study also takes into account the characteristics of heat and mass transfer. These governing equations involving Brownian motion, heat source, and magnetic field are transformed into ordinary differential equations using a suitable similarity approach and solved numerically with Mathematica and Matlab. The paper presents graphical representations of dimensionless velocity, energy, volumetric concentration, and density profiles for various parameter values. It is noted that the velocity profile is diminished for increase in value of porosity parameter , buoyancy ratio parameter , and Rayleigh number but shows opposite behavior for increasing value of Philippoff parameter . Temperature distribution improved for the growing value of temperature ratio and the nonlinear thermal radiation . For increasing the value of Brownian motion , the concentration profile declined, and the opposite behavior is noted for the growing value of . These findings are in good agreement with previously published research. Furthermore, a higher Hartmann number corresponds to an increased coefficient of friction.

Topics & Concepts

NanofluidNonlinear systemThermal radiationMechanicsFlow (mathematics)MathematicsHeat transferThermodynamicsPhysicsQuantum mechanicsNanofluid Flow and Heat TransferHeat Transfer MechanismsFluid Dynamics and Turbulent Flows