Dissipative heat and nanoparticle aggregation impact on the radiative heat effect of time-dependent micropolar nanofluid considering Brugman with Maxwell model

In modern engineering and biomedical applications, micropolar fluid with nanoparticles is gaining immense attention due to its ability to enhance thermal conductivity and provide better control over micro-scale behaviours. The present investigation explores the association of nanoparticle aggregation and dissipative heat on the time-dependent micropolar fluid flow, considering Maxwell effects in conjunction with the Brugman conductivity model. The system is subjected to an external magnetic field with surface suction imposed to regulate boundary layer behaviour. The study incorporates thermal radiation, non-Newtonian micropolar characteristics and time-dependent acceleration over a porous stretching/shrinking sheet. The present analysis accounts for Maxwell relaxation time representing fluid memory effects, while the Brugman model accommodates the influence of nanoparticle aggregation on effective thermal conductivity. The mathematical model presenting all these constraints is transformed into a dimensionless form by utilising standard transformation rules. The transformed model is tackled numerically, implementing the Runge–Kutta fourth-order technique with the shooting method. The comparative results with earlier established work are depicted in specific instances, and the essential findings of the study are reported as the fluid velocity is controlled by the factor suction velocity caused by the permeability of the surface and this leads to thinning in the surface thickness.