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<p>In several technical and medicinal applications, two immiscible physiological&#xa0;fluids can cohabit without interacting. For instance, the movement of blood and fluids containing particles may be clearly separated when contrast substances or drug-carrying particle fluids&#xa0;are placed&#xa0;into the blood vessels. Inspired by these scenarios, this study offers a mathematical model and numerical simulation for the unsteady flow of two immiscible micropolar blood and particle suspended fluids along a horizontal conduit with porous walls. In biomedical processes such as dialysis, plasma filtration, or particle-assisted therapies, suction plays a crucial role in regulating fluid exchange. Hence suction is imposed symmetrically at both the upper and lower plates of the channel. The model also incorporates heat transfer estimation to investigate the thermal characteristics of immiscible fluids within suction and injection conditions. The differential quadrature method (DQM) is used to numerically model and solve coupled partial differential equations and the stability analysis of applied numerical scheme is also proposed. The effect of suction on flow and dust particle velocities, temperature, and micro rotation vectors is identified. There are biphasic sigmoidal velocity profiles that show how the periodic pressure propels the flow, raising velocity close to the fluid interface, while suction at the walls visibly reduces velocity at the boundary. Higher micropolar effects enhance micro-rotation, promoting uniform thermal dissipation and smoother heat distribution.</p>

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A study on two-layer immiscible flow of micropolar blood and dusty fluids with suction, injection, and thermal effects

  • 期刊论文

  • 发表日期：

    2025年10月10日

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  • Rajesh Kumar Chandrawat,
  • Asha SunilKumar

摘要

In several technical and medicinal applications, two immiscible physiological fluids can cohabit without interacting. For instance, the movement of blood and fluids containing particles may be clearly separated when contrast substances or drug-carrying particle fluids are placed into the blood vessels. Inspired by these scenarios, this study offers a mathematical model and numerical simulation for the unsteady flow of two immiscible micropolar blood and particle suspended fluids along a horizontal conduit with porous walls. In biomedical processes such as dialysis, plasma filtration, or particle-assisted therapies, suction plays a crucial role in regulating fluid exchange. Hence suction is imposed symmetrically at both the upper and lower plates of the channel. The model also incorporates heat transfer estimation to investigate the thermal characteristics of immiscible fluids within suction and injection conditions. The differential quadrature method (DQM) is used to numerically model and solve coupled partial differential equations and the stability analysis of applied numerical scheme is also proposed. The effect of suction on flow and dust particle velocities, temperature, and micro rotation vectors is identified. There are biphasic sigmoidal velocity profiles that show how the periodic pressure propels the flow, raising velocity close to the fluid interface, while suction at the walls visibly reduces velocity at the boundary. Higher micropolar effects enhance micro-rotation, promoting uniform thermal dissipation and smoother heat distribution.