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