MHD FREE CONVECTION FLOW OF CASSON AND BRINKMAN -TYPEFLUIDS USING CAPUTO FRACTIONAL DERIVATIVES

Nanofluids and hybrid nanofluids are new classes of nanotechnology-based heat transfer fluids, obtained by dispersing and stably suspending nanoparticles in base fluids. The addition, these nanoparticles or hybridized nanoparticles sufficiently improves the working ability of industrial fluids which is requirement of the modern era, these days. In regular nanofluid, a single type of nanoparticles whereas in hybrid nanofluid two different types of nanoparticles are suspended in a base fluid which may be of Newtonian nature or of non-Newtonian. Therefore, in this thesis, different types of nanoparticles and hybridized nanoparticles are used. The MHD free convection flows of Casson and Brinkman-type fluids, nanofluids and hybrid nanofluids in a vertical channel are considered. In addition, instead of conventional modeling, fractional analysis is used to develop partial fractional differential equations. These fractional models are based on ideas of Caputo fractional derivatives.