Effect of thermal radiation on magneto-nano uids free convective ow over an accelerated moving ramped temperature plate

An attempt has been made to explore the eect of thermal radiation on electrically conducting viscous, incompressible magnetonano uids free convective ow in the presence of an inclined magnetic eld. Fluid ow is persuaded due to accelerated movement of an innite vertical ramped temperature plate. The water based nano uids with nanoparticles of alumina (Al2O3), copper (Cu), and titanium oxide (TiO2) have been accounted for. In order to mathematically model the problem, the model of nanoparticle volume fraction has been employed. The exact solution to the mathematical model in closed form has been analytically obtained by making use of Laplace transform technique. The amalgamated - form expressions are obtained for nano uid velocity, nano uid temperature, skin friction, and Nusselt number in both ramped and isothermal conditions. The eects of various physical parameters on the nano uid velocity and nano uid temperature have been examined by means of various graphs while the numerical values of skin friction and Nusselt number have been reported in dierent tables. The numerical results have been compared for both ramped and isothermal conditions. It has been noticed that both nano uid velocity and nano uid temperature are smaller in magnitude in the case of ramped temperature plate than in the case of isothermal plate.