Abstract
In the present study, we examine three-dimensional thin film flow over an angular rotating disk plane in the presence of nanoparticles. The governing basic equations are transformed into ordinary differential equations by using similarity variables. The series solution has been obtained by the homotopy asymptotic method (HAM) for axial velocity, radial velocity, darning flow, induced flow, and temperature and concentration profiles. For the sake of accuracy, the results are also clarified numerically with the help of the BVPh2- midpoint method. The effect of embedded parameters such as the Brownian motion parameter Nb, Schmidt number Sc, thermophoretic parameter and Prandtl number Pr are explored on velocity, temperature and concentration profiles. It is observed that with the increase in the unsteadiness factor S, the thickness of the momentum boundary layer increases, while the Sherwood number Sc, with the association of heat flow from sheet to fluid, reduces with the rise in S and results in a cooling effect. It is also remarkable to note that the thermal boundary layer increases with the increase of the Brownian motion parameter Nb and Prandtl number Pr, hindering the cooling process resulting from heat transfer.
Highlights
The physical interpretation of the thin film has been highlighted by many researchers, engineers and scientists
On behalf of the above important discussion, the prime objective of this study is to analyze the impact of spraying a nanofluid over an inclined rotating plane as a cooling application
An optimal homotopy analysis method and BVPh2-midpoint method are implemented in the present analysis for the solution of the non-linear ordinary differential Equations (9)–(14) subject to the boundary conditions given in Equation (15)
Summary
The physical interpretation of the thin film has been highlighted by many researchers, engineers and scientists. Miladinova et al [1] studied the thin film of a power law liquid over an inclined plate. The effects of slip conditions on the thin film flow of third grade fluid has been investigated by. Gul et al [2] for the lifting and drainage problem with constant viscosity. Khalid and Vafai [3]. Investigated hydrodynamic squeezed flow and heat transfer over a sensor surface. Siddique et al [4]. Studied thin film flow of non-Newtonian fluid over a moving belt. The same author [5]
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