<p>The 3D rotational flow pretends complex fluid motion encountered in the modern applications like rotating machinery where radial and axial flows occur. This study interprets the unique thermal attributes of a three-dimensional rotational flow. The prominent impacts of velocity slip and thermal jump have also been taken into account. The nanocomposition of BNNTs/H₂O and ZnO/H₂O comprises of unique thermal and mechanical properties. That is why this composition is much suitable for enhancing heat transfer and stability in nanofluid applications. It is examined that how the slip and jump conditions influence the flow dynamics, temperature distribution and rotational motion within the flow system. The order reduction together with finite difference discretization is incorporated to find the iterative solutions of the problem. The results are equated to the previous ones, under certain conditions, to validate the numerical procedure. A radial basis function (<i>RBF</i>) neural network is employed to check the accuracy of the numerical algorithm as well as capturing the rotational flow behavior and improving the accuracy of velocity and thermal predictions. The outcomes demonstrate that the inclusion of BNNTs and ZnO particles not only enhances the thermal conductivity but also promotes the heat transfer rate. At a 5% volume concentration, the use of BNNTs<i>/</i>H₂O nanofluid resulted in a heat transfer rate enhancement of approximately 25%, whereas ZnO/H₂O nanofluid exhibited a 12% increase in heat transfer. The improved thermal properties reduce overheating risks in compact and high-power devices.</p>