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<p>The concept of couple stress, along with the Casson model, has earned significant consideration from scientists. In the absence of shear rates, the viscosity of the Casson fluid is infinite, and at infinity, it is zero. Numerous technical challenges, including fluidity, satellite guidance, painting and chemical application by spraying, rain deterioration and environmental contamination, can benefit from the use of a couple stress&#xa0;Casson fluid. Additionally, the circulatory phenomenon, blood in the microcirculatory structure, exhibits hydromagnetic properties, which also utilise couple stress fluids. This study is conducted to investigate a mathematical model associated with two-dimensional magnetohydrodynamics (MHD) stagnated flow over an extended linear horizontal stretched Riga wall of a couple-stress Casson nanofluid. The effects of velocity slip and thermal slip boundaries are examined in the presence of an oxytactic micro-organism. The influence of Fick’s and Fourier’s laws is studied for this model. By assuming similarity transformation, the momentum, energy, concentration and micro-organism equations, along with boundary conditions, are altered to ordinary differential equations. The effect of all physical parameters on the velocity function, thermal distribution, concentration profile and micro-organism density profile are discussed with the help of graphs. Physical quantities of the fluid flow are also discussed using the charts. It is found that velocity and temperature of the fluid decrease by raising the velocity slip and thermal slip parameter, while the velocity of the fluid drops by increasing the values of buoyancy ratio parameter, bioconvection Rayleigh number and Hartmann number. It is concluded that the momentum boundary layer and thermal boundary layer shrink for velocity and thermal slip parameters, while the concentration of the nanoparticles rises for variable molecular diffusivity, However, the concentration of oxytactic micro-organisms drops for the Peclet number. These types of studies are useful in industrial applications, such as reactor operations and cooling of electronic chips, food purification, drug targeting, ethanol production, fertilizer production, biofuel production, water treatment and power generation.</p>

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Analysis of slip conditions and thermal diffusion in oxytactic micro-organisms through a couple stress Casson fluid over a Riga plate

  • 期刊论文

  • 发表日期：

    2026年2月17日

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  • Abaker A Hassaballa,
  • Azzh Saad Alshehry,
  • Siddra Rana,
  • Humaira Bibi

摘要

The concept of couple stress, along with the Casson model, has earned significant consideration from scientists. In the absence of shear rates, the viscosity of the Casson fluid is infinite, and at infinity, it is zero. Numerous technical challenges, including fluidity, satellite guidance, painting and chemical application by spraying, rain deterioration and environmental contamination, can benefit from the use of a couple stress Casson fluid. Additionally, the circulatory phenomenon, blood in the microcirculatory structure, exhibits hydromagnetic properties, which also utilise couple stress fluids. This study is conducted to investigate a mathematical model associated with two-dimensional magnetohydrodynamics (MHD) stagnated flow over an extended linear horizontal stretched Riga wall of a couple-stress Casson nanofluid. The effects of velocity slip and thermal slip boundaries are examined in the presence of an oxytactic micro-organism. The influence of Fick’s and Fourier’s laws is studied for this model. By assuming similarity transformation, the momentum, energy, concentration and micro-organism equations, along with boundary conditions, are altered to ordinary differential equations. The effect of all physical parameters on the velocity function, thermal distribution, concentration profile and micro-organism density profile are discussed with the help of graphs. Physical quantities of the fluid flow are also discussed using the charts. It is found that velocity and temperature of the fluid decrease by raising the velocity slip and thermal slip parameter, while the velocity of the fluid drops by increasing the values of buoyancy ratio parameter, bioconvection Rayleigh number and Hartmann number. It is concluded that the momentum boundary layer and thermal boundary layer shrink for velocity and thermal slip parameters, while the concentration of the nanoparticles rises for variable molecular diffusivity, However, the concentration of oxytactic micro-organisms drops for the Peclet number. These types of studies are useful in industrial applications, such as reactor operations and cooling of electronic chips, food purification, drug targeting, ethanol production, fertilizer production, biofuel production, water treatment and power generation.