Caputo-Fabrizio fractional order model on MHD blood flow with heat and mass transfer through a porous vessel in the presence of thermal radiation

Abstract In this article we propose a fractional order time derivative model on blood flow, heat and mass transfer through an arterial segment having interaction with magnetic field in the presence of thermal radiation and body acceleration. The study focuses on the unidirectional blood flow through porous medium vessel by treating non-Newtonian Casson fluid model. The mathematical model of Caputo-Fabrizio fractional derivative has been used and the problem is solved by employing the Laplace transform as well as finite Hankel transform method. The analytical expressions for blood flow velocity, temperature and concentration are obtained. The effects of order of the Caputo-Fabrizio fractional derivative, external magnetic field, Reynolds number, Darcy number, thermal radiation, Peclet number, Schmidt number are presented graphically. The study shows that the fractional order parameter has reducing effect on blood velocity, temperature and concentration as well as on the skin-friction coefficient and Nusselt number. Moreover, Hartmann number, thermal radiation and Soret effect play an important role in controlling wall shear stress, Nusselt number and Sherwood number respectively. More precisely these results bear the significant applications in biomedical Engineering and pathology.