Modeling heat transport in nanofluids with stagnation point flow using fractional calculus

This paper studies the flow and heat transfer of power-law type nanofluids with stagnation point flow past a porous sheet. The governing equation of temperature involving spatial fractional derivative is used to investigate the anomalous heat diffusion of nanofluids. Four types of nanoparticles are considered with the carboxymethyl cellulose and water miscible liquids as the heat transfer fluid. By suitable similarity transformations, the governing partial differential equations are reduced to a system of ordinary differential equations, which are discussed thoroughly. It is found that the thermal transfer ability of nanofluids shows inverse correlation with the order of fractional derivative. Effects of the other physical parameters on flow and heat transfer are analyzed in detail.