Stability Analysis on Mixed Convection Nanofluid Flow in a Permeable Porous Medium with Radiation and Internal Heat Generation


  • Shahirah Abu Bakar Takasago Thermal/Engineering Systems Laboratory, Malaysia-Japan International Institute of Technology, Universiti Teknologi Malaysia, 54100, Kuala Lumpur, Malaysia
  • Norihan Md Arifin Institute for Mathematical Research, Universiti Putra Malaysia, 43400, UPM Serdang, Selangor, Malaysia
  • Ioan Pop Department of Mathematics, Babes-Bolyai University, R-400084, Cluj Napoca, Romania



Nanofluid, internal heat generation, porous medium, shrinking sheet, dual solutions, stability analysis


We investigated the mixed convection boundary layer flow over a permeable surface embedded in a porous medium, filled with a nanofluid and subjected to thermal radiation, magnetohydrodynamics (MHD) and internal heat generation. The nanofluid consists of water (H2O) as the base fluid and nanoparticles such as copper (Cu), aluminium oxide (Al2O3) and titanium dioxide (TiO2). The governing system nonlinear partial differential equations is transformed into a set of ordinary differential equations using a similarity transformation, which are then solved numerically for various parameter values. The numerical solutions are obtained using the shooting technique method and bvp4c method, via MAPLE and MATLAB, respectively. Our findings revealed that the velocity distribution decreases with the shrinking parameter, while the presence of nanoparticles enhances the respective profiles. The velocity profiles were also observed to exhibit mixed patterns influenced by magnetic, radiation, and suction parameters. Further, the solutions bifurcated into two branches prior to the shrinking parameter. A stability analysis is performed to determine the stability of the solutions between two branches. We thoroughly discussed the characteristics of the respective solutions and their stability in detail.




How to Cite

Abu Bakar, Shahirah, Norihan Md Arifin, and Ioan Pop. 2023. “Stability Analysis on Mixed Convection Nanofluid Flow in a Permeable Porous Medium With Radiation and Internal Heat Generation”. Journal of Advanced Research in Micro and Nano Engineering 13 (1):1-17.
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