Mixed convection MHD flows of Ag, Cu, TiO $$_{2}$$ 2 and Al $$_{2}$$ 2 O $$_{3}$$ 3 nanofluids over in unsteady stretching sheet in the presence of heat generation along with radiation $${\setminus }$$ \ absorption effects

In this investigation, observations are made for further analysis of heat and mass transfer in magnetohydrodynamic mixed convectional nanofluid flow over a time-dependent stretching sheet. Carboxymethyl cellulose (CMC) water is taken as carrier fluid with different types of nanoparticles such as Titanium (TiO $$_{2}$$ ), Silver (Ag), Aluminum (Al $$_{2}$$ O $$_{3}$$ ) and copper (Cu). Flow contains, chemical reaction effect, heat source, radiation absorptions and Schmidt number effects are considered to be significant while, keeping the influence of magnetic field. Coupled equations are investigated analytically by HAM (Homotopy Analysis Method) and numerical method BVP4C (shooting method package). Different observations for physical quantities such as $$\phi$$ (nanoparticles), M (Thermocapillary number), Ma (Hartmann number), $$\Upsilon$$ (film thickness) and Pr (Prandtl number) are made for, velocity, temperature and solute concentration profiles are observed. Al $$_{2}$$ O $$_{3}$$ -water nanofluid has higher Solute concentration than the other nanofluids. Skin friction, heat flux, and mass flux are direct functions of magnetic force, but inverse function of, temperature of the fluid. Magnetic force also decreased the speed of fluids and hence mass flux reduced which implies that, the temperature reduces. $${\rm Gr}_\mathrm{{t}}$$ increased, free temperature increased, while skin friction, heat flux, and mass flux are decreased, but increased in the speed of fluids. Increasing $${\rm Gr}_\mathrm{{c}}$$ , the values of $$-f''(0)$$ , $$-\theta '(0)$$ , and $$-\Phi '(0)$$ are decreased while, $$\theta (1)$$ is increased. Results for $$-f''(0)$$ (surface skin friction), $$-\theta '(0)$$ (Nuselt number or heat flux), $$\theta (1)$$ (free surface temperature) and $$-\Phi '(0)$$ (Sherwood number) are pictured graphically and in tabular form. Analytical and numerical solutions were established for nanofluid modeled in terms of Ham via BVPh2.0 and numerical solution for flow of nanofluid problem by shooting method via BVP4C. Variable viscosity and thermal conductivity are the proposed study related to the study.