Magnetohydrodynamic water- \({\text{TiO}}_{2}\) nanofluid flow with two-dimensional, laminar, incompressible features is investigated here, together with the boundary conditions induced by slip effects over a spinning vertical cone. This investigation analyses the impact of magnetic field, thermal radiation, Schmidt number, activation energy, and chemical reaction parameter. The entropy production rate and Bejan number are also analyzed. The associated governing equations are solved with the MATLAB-bvp4c approach. The impact of mixed convective parameter, buoyancy ratio parameter and radiation parameter amplify the flow velocity; whereas magnetic parameter, Schmidt number and Prandtl number reduce the velocity profile. The temperature profile can be increased by increasing radiation parameter and magnetic parameter impact. Also, swirl velocity gets reduced with the growing effect of magnetic parameter. It highlights that when 5% Titanium oxide is introduced to water, skin friction increases by approximately 0.84%, Nusselt number by 9.16% and Sherwood number by 6.71%. Also, entropy generation rate rises for larger estimations of Brinkman number and magnetic parameter. The current study is compared to previous literature, which reveals a high level of agreement.
