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<p>Heat transfer in nanofluids enhances thermal management efficiency in applications like energy storage and cooling technologies. This study models the flow of a bionanofluid over an inclined surface to examine the influence of bioconvection within nanofluids. The shear-thinning behavior of the fluid is characterized using the Casson fluid model, while the dynamics of nanoparticles are described by the Buongiorno model. The Navier-Stokes equations are employed for momentum conservation, coupled with the energy conservation equation for heat transport. An additional transport equation is formulated to account for the dynamics of microorganisms. Boundary layer approximations are applied to simplify the governing equations, which are subsequently solved numerically using MATLAB’s bvp4c solver. The results indicate that the temperature distribution significantly increases with the enhancement of the bioconvection Rayleigh number, Schmidt number, Marangoni convection parameter, Casson fluid parameter, and suction/injection parameter. Furthermore, the skin friction coefficient, local Nusselt number, local Sherwood number, and local microorganism density number are computed numerically and graphically. These results provide valuable insights into the behavior of the current system.</p>

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Advanced numerical analysis of Casson MHD nanofluid flow with bioconvection and Marangoni convection on an inclined surface

  • 期刊论文

  • 发表日期：

    2025年2月19日

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  • Abdullah,
  • Naseer M. Khan,
  • Kejia Pan

摘要

Heat transfer in nanofluids enhances thermal management efficiency in applications like energy storage and cooling technologies. This study models the flow of a bionanofluid over an inclined surface to examine the influence of bioconvection within nanofluids. The shear-thinning behavior of the fluid is characterized using the Casson fluid model, while the dynamics of nanoparticles are described by the Buongiorno model. The Navier-Stokes equations are employed for momentum conservation, coupled with the energy conservation equation for heat transport. An additional transport equation is formulated to account for the dynamics of microorganisms. Boundary layer approximations are applied to simplify the governing equations, which are subsequently solved numerically using MATLAB’s bvp4c solver. The results indicate that the temperature distribution significantly increases with the enhancement of the bioconvection Rayleigh number, Schmidt number, Marangoni convection parameter, Casson fluid parameter, and suction/injection parameter. Furthermore, the skin friction coefficient, local Nusselt number, local Sherwood number, and local microorganism density number are computed numerically and graphically. These results provide valuable insights into the behavior of the current system.