Numerical investigation of thin-film flow over a rotating disk subject to the heat source and nonlinear radiation: Lobatto IIIA approach
Tian-Chuan Sun, Iftikhar Uddin, Muhammad Asif Zahoor Raja, Muhammad Shoaib, Ikram Ullah, Wasim Jamshed, Saeed Islam
Abstract
The analysis of thin liquid film over a horizontal rotating disk has attained fabulous attention in the field of the coating industry. Therefore, the present study aims to communicate the nature of the thin-film flow of Maxwell magnetized nanomaterials over the surface of the rotating disk. The important aspects of nano liquid known as the Brownian motion and thermophoresis are considered. This liquid film is explored under the influence of a heat source/sink. Dimensionless variables have been implemented to acquire the nonlinear system of ODEs. The obtained system has been tackled numerically via Lobatto IIIA technique for the variation of unsteadiness parameter ranging from 0.3 to 0.45, thin-film thickness parameter ranging 2.20–2.35, rotation parameter ranging 0.7–1.0, magnetic parameter ranging 4.0–7.0, Prandtl number ranging 1.3–1.6, and radiation parameter ranging 0.5–0.8. The outcomes for the flow problem have been estimated against various embedding variables. In addition, tables are made for sundry cases of different scenarios, mesh points, maximum residual errors, Nusselt and Sherwood numbers. Analysis elaborates that an increase in rotation parameter causes a reduction in the azimuthal component of velocity while the temperature is enhancing the function of the radiation parameter.