Effect of thermal radiation on magneto-nanofluids free convective flow over an ac-celerated moving ramped temperature plate

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