The flow of nano-liquid film in the presence of operative Prandtl number model through an unsteady stretchable disc

This paper examines the impact of magnetohydrodynamic (MHD) over a thin film of variable thickness. A scattering of nano-liquid through a radially extending disc with unsteady stretchable velocity is considered. In the boundary layer flow, the contribution of nano-liquid is more efficient to improve the thermal and convective heat transport. Prandtl number model of dynamic viscosity and thermal conductivity is examined using the preliminary result of nanofluid flow. In this scenario, nano-element like water base Alumina (γAl2O3−H2O) and ethylene glycol base Alumina (γAl2O3−C2H6O2) are working nanofluids. Make use of appropriate self-similar conversion, the system of model partial differential equations (PDEs) with strong nonlinearity is converted into a non-dimensional set of couple ODEs (Ordinary Differential Equations). Consequently, the system of these transformed equations is analytically explained by implementing Optimal Homotopy Analysis Method (OHAM). The effects of embedded parameters such as magnetic parameter (M), nanofluid volume fraction and Eckert number (Ec)) on involved distributions are interpreted graphically to examine the mass and heat transport features for both sorts of nanoparticles. Moreover, the (Cf) skin friction along with the (Nu) heat transport rate (Nusselt number) is formulated for different values of relevant variables.