Abstract
A numerical approach is adopted to explore the analysis of combined convection and thermal radiation on molecular theory of liquid originated nanofluid over an extendable surface. The temperature-dependent viscosity is considered through Vogel's and Renold's model. The physical problem gains more significance in the presence of temperature-dependent thermal conductivity. Nanofluid attributes are explored through thermophoresis and Brownian motion effect. Radiative heat flux is also taken into account to study the thermal radiation aspects. Characteristics of sundry physical parameters on the velocity, thermal energy and mass transfer are computed numerically and graphically. Velocity pattern expands for growing the size of thermophoresis diffusion and decline by the expanding amount of fluid parameter for Vogel's and Renold's model. Temperature fluctuation rises when the quantity of variable thermal conductivity parameter getting up and falls for radiation parameter. Concentration curve increases if the values of Prandtl number enlarge for Renold's model. Concentration boundary layer thickness declines for inclining in Brownian diffusion, radiation and Prandtl number for Vogel's model.