A Non-Integer Order Blood Rheological Model in a Magneto-thermal Environment

Abstract

This study develops a rheological model for blood flow in an arterial segment using a non-integer order derivative modelling in the sense of Atangana-Baleanu fractional derivative operator. This model takes into consideration the effects of external magnetic flux, periodic body acceleration, and radiant heat on the behaviour of the blood. Integral transforms are employed to solve the problem. Expressions for temperature, concentration, and flow velocity of blood will be developed. Additionally, the effects of the fractional order parameter and other important factors on blood dynamics are examined by the aid of analytical and graphical analysis and key findings are concluded that helps to control blood rheology.