Thermal radiative heat transfer and chemical reaction effects in Sisko fluid motion induced by metachronal cilia waves for biomedical applications

• The study investigates the dynamics of non-Newtonian Sisko fluid motion driven by metachronal cilia waves in a biologically inspired curved microchannel, relevant to biomedical flow applications. • The combined effects of magnetic field and buoyancy-induced mixed convection significantly alter the flow and thermal profiles, enhancing flow control in microfluidic systems. • Increasing the Brinkman number intensifies viscous dissipation, resulting in a 24.7% increase in the heat transfer rate, demonstrating enhanced thermal performance. • An increase in the thermal radiation parameter leads to a 10.4% reduction in heat transfer rate, indicating that radiative losses suppress convective thermal transport. • The study employs lubrication approximation and finite difference method to solve the governing equations. This study focuses on analyzing the motion of Sisko fluid induced by metachronal cilia waves in a curved channel, incorporating homogeneous–heterogeneous chemical reactions for biomedical applications. This study focuses on understanding how a Sisko fluid behaves under the combined influence of magnetic fields and mixed convection, particularly in a curved channel lined with cilia. The analysis includes the effect of radiative heat transfer on the flow characteristics within this biologically inspired microchannel system. A mathematical model is developed and subsequently simplified using the lubrication approximation. Numerical solutions are obtained for the system of equations by applying the finite difference technique. The outcomes reveal that velocity is augmented by the thermal buoyancy force (Grashof number), while the Brinkman number intensifies the temperature field due to enhanced viscous heating. The heat transfer rate upsurges via approximately 24.7% with increase in Brinkman number, highlighting enhanced heat transport due to viscous dissipation. In contrast, an increase in thermal radiation parameter results in a 10.4% decline in heat transfer rate, showing reduced convective thermal transport due to enhanced radiative losses. The insights from this study can be applied to the development of microfluidic transport systems, biomedical applications, drug delivery systems., chemical microreactors, and bio-inspired cooling devices.