Exergy and energy analysis on ciliated rheology of viscoelastic liquid in a curved pump with porous saturated space: a blood propelling application

Abstract

ABSTRACT In the current analysis, the rheology of non-Newtonian liquid in a curved pump (CP) is considered. The Jeffrey fluid is used as blood (non-Newtonian liquid) in this investigation. The transportation of fluid takes place due to the metachronal wavy structure of the boundary wall. The combined effects of radial magnetic field and porous medium on flow features are also taken into account. Additionally, mathematical modeling related to avoidable and unavoidable exergy is also used. The physical effects of involved parameters are studied via graphs. The parabolic pattern is noticed in the velocity profile for both viscous fluid (NF) and viscoelastic fluid (when viscoelastic parameter has a small strength), while sharp changes (boundary layer, BL) are noticed near both boundaries under a larger strength of the viscoelastic parameter. The CP has a larger pressure gradient and heat transfer rate as associated with the straight pump (SP). The viscous fluid has a larger heat transfer rate at the upper wall (HTRUW) as associated with the viscoelastic fluid. The CP has a larger entropy generation as associated with the SP. The magnetic and porosity parameters have a vibrant role in augmenting the magnitude of both entropy generation and average entropy generation. The viscoelastic parameter has a remarkable role in enhancing the magnitude of Bejan number as compared with the viscous parameter.