ABSTRACT
The idea of the fractional derivative is appliedin this chapter to the heat transfer problem of hybrid nanofluid. More exactly, this chapter deals with the generalization of natural convection flow of Cu–Al2O3–H2 Ohybrid nanofluid in two infinite vertical parallel plates. To demonstrate the flow phenomena in two parallel plates of hybrid nanofluid, the Brinkman-type fluid model is utilized. The governing equation of Brinkman-type fluid together with energy equation is subjected to appropriate initial and boundary conditions. The Caputo–Fabrizio fractional derivative approach is used for the generalization of the mathematical model. The Laplace transform technique is used to develop exact analytical solutions for velocity and temperature profiles. The general solutions for velocity and temperature profiles are brought into light through numerical computation and graphical representation. The obtained results show that the velocity and temperature profiles show dual behaviour for 0 < α < 1 and 0 <β < 1, where α andβare thefractional parameters. It is noticed that, for a shorter time, the velocity and temperature distributions decrease with increasing values of fractional parameters, whereas the trend reverses for a longer time.
