Fluctuating blood flow of a two-phase dusty fluid undergoing isothermal heating

Abstract

This study investigates the dynamic behavior of a two-phase dusty fluid under isothermal heating conditions, with implications for physiological fluid dynamics. The fluid, modeled as blood in contrast to a Casson fluid, flows within a channel formed by two inclined plates. One plate experience arbitrary wall shear stress, while the other undergoes oscillations. Magnetic field and porous medium effects are considered. Initially formulated as partial differential equations (PDEs), the problem is transformed into ordinary differential equations (ODEs) using similarity transformations. Analytical solutions for fluid velocity, dust particle velocity, and fluid temperature are obtained through the application of the Poincaré–Lighthill Perturbation Technique (PLPT). These solutions provide quantitative insights into the system's behavior. The numerical results are computed and graphically represented for various embedded parameters using Mathcad-15 software. The plots are prepared for velocity and temperature whereas the results for skin friction and Nusselt number are computed in tables. It is found from the results that skin friction increases with increasing inclination angle α=0,π6,π4. Here α=0 corresponds to the case of vertical channel. The results of Nusselt number indicated that with increasing Peclet number Pe = 5, 6, 7, the rate of heat transfer increases. The comparison between present work and published work is made and an excellent agreement is noted. This work can be extended in future for several other models of non-Newtonian fluids in different physical configurations.

Keywords

• Two phase blood flow
• Inclined channel
• Isothermal heating
• Arbitrary wall shear stress
• PLPT