Owing to extensive application developments of nanofluid, the engineers and scientists have concentrated their
attention in regions of thermal and engineering processes. Additionally, nanofluids have wide-ranging returns
as compared to traditional fluids. Keeping aforementioned logicality of nanofluid in observation, we deliberated
a time-varying mathematical model to formulate the non-uniform heat sink-source assume Sutterby liquid
over Brownian movements and thermophoretic. Thermal- solutal stratification phenomenon in addition
with heat sink-source and activation energy aspects are scrutinized. Characteristics of random motion and
thermophoresis diffusion properties for Sutterby fluid are examined. Similarity variable techniques are used to
reduce partial differential equations into ordinary differential equations and solved numerically by using bvp4c
method. The physical aspects of fluid flow, temperature, concentration for variation of involved parameters
have been explained through graphs. Velocity of Sutterby nanofluid has contrary performances against
unsteady and mixed convection parameters. Augmented values of Brownian moment, thermophoresis and heat
source parameters exaggerate the temperature of nanofluid. Concentration of Sutterby nanofluid deteriorates
for greater Schmidt number. Moreover, transportation rate of heat dwindles against Pr while it rises against Nt.