Mathematical Analysis of Gold, Platinum, and Magnetite Nanoparticle Shapes on Unsteady Radiative Flow of Nanoliquid along an Infinite Vertical Flat Plate in the Proximity of Convective Boundary Condition

Abstract

In this article, the heat transfer and flow pattern characteristics are discussed in the proximity of convective boundary condition for three kinds of nanoparticles, namely gold, Platinum and magnetite with three different shapes, namely spherical, platelets, and lamina. Here water is taken as a base liquid. The thermal radiation impact is assumed into account. The partial differential equations are shifted into ordinary differential equations by applying an acceptable transformation and then exact solutions are acquired by promoting the Laplace transform technique. Solid volume fraction is fluctuated as 5%, 10%, 15%, and 20%. The variations of nanoliquid motion and heat transfer are displayed graphically as well as the numerical values of skin friction and rate of heat transfer at the plate are displayed in tabular pattern. In particular, the liquid motion as well as the heat transfer is least for lamina type nanoparticles, medium for platelet type nanoparticles, and greatest for spherical type nanoparticles. Moreover, the skin friction escalates and the rate of heat transfer declines for three types of nanoliquids in three distinct shapes with the progress of time. This report can be further utilized to authenticate the effectiveness of acquired mathematical results for another sophisticated nanoliquid problems.