Magnetized electroosmotic drug delivery of Au-SiO2 nanocarriers through blood-based jeffrey hybrid nanofluid in a microchannel: Caputo Fabrizio derivative modeling

Fractional calculus is emerging as a promising field to overcome the intricacies inherent in biological systems that prevent conventional techniques from producing optimal results. The present research emphasizes the impact of thermal radiation, chemical reactions, and radiation absorption on an electroosmotic magnetohydrodynamic (MHD) blood-based Jeffrey hybrid nanofluid flow in a microchannel, employing the novel Caputo-Fabrizio fractional calculus approach. This study is carried out on two models: ramped and constant boundary conditions with distinct zeta potentials. The graphs are drawn with the help of MATLAB software. Our results demonstrate that the fractional order significantly influences the drug dispersion, and for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>α</mml:mi> <mml:mo>=</mml:mo> <mml:mn>0.9</mml:mn></mml:mrow> </mml:math> (fractional parameter), the blood flow becomes wavy. The presence of nanoparticles improves drug transport, hence enhancing the drug concentration in proximity to the target site. For <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>α</mml:mi> <mml:mo>=</mml:mo> <mml:mn>0.1</mml:mn></mml:mrow> </mml:math> , the Jeffrey nanofluid with ramped conditions shows the highest velocity enhancement in the case of pressure-driven, natural convective flow. Electroosmotic force facilitates fluid flow and enhances drug transport efficiency. For <i>Ha < 4,</i> the blood velocity decreases in the vicinity of the plate y = 0, and reverse behavior is observed as it passes <i>y = 0.5,</i> which can aid in effective drug delivery. At <i>y = 0</i>, the heat transfer rate increases by a maximum of 199.18 % while skin friction decreases to 3.07 %, aiding in maintaining medications at the desired temperature and improving drug delivery efficiency. The temperature and velocity of the blood hybrid nanofluid are maximized under ramping wall settings compared to constant wall conditions.