Convergence analysis of nanoparticle-dispersed flow past a porous rotating disk: A Darcy-Forchheimer model with radiation and convective heating

Carboxymethylcellulose (CMC) serves as a flexiblewater-soluble cellulose compound utilized in a variety of sectors for its capabilities as a conditioner, stabilization agent, film-former, and adhesive. Its chemical nature enables it to generate extremely viscous substances, making it valuable in both industrial and consumer settings. Inspired by these applications, this article examines the CMC-water base aluminum Darcy-Forchheimer flow of nanomaterial upon a heated convective revolving disk with radiation and chemical species. The distance of aluminum oxide along CMC-water has been described during this exploration. The energy and concentration equation has been described in the presence of heat and mass flux. The modelled equations have been renovated into ODEs via proper alteration. The semi-analytical procedure has been implemented on ODEs via the Homotopic procedure. The residual error has been computed through OHAM with 30-order approximation. The modelling of current exploration deals with the concentration, thermal properties, and velocity of the nanomaterial having lesser and longer distances of aluminum oxide. It has been attributed that the inertia coefficient and slippage effect have a reducing effect on the radial and axial velocity for the distance and radius of nanoparticles. Moreover, thermal and mass relaxation were reduced due to the depreciation in the thermal and concentration fields. The engineering quantities are computed through tabular and graphic forms. The comparison of previous literature has achieved an outstanding agreement. By taking into account nanoparticle interconnection, the simulation transcends the traditional homogeneous nanofluid theory and provides a means of optimizing the cooling agent's microstructure for optimal performance. • Darcy–Forchheimer resistance slows radial and tangential nanofluid motion. • Nanoparticles boost thermal conductivity and raise heat-transfer performance. • Radiation and convective heating thicken the layer and elevate temperature. • Hybrid nanofluids yield stronger heat-transfer gains than single-particle mixes. • Brownian motion, thermophoresis, and the Schmidt number govern mass diffusion.