Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms

摘要: This article deals with the generalization of natural convection flow $Cu - Al_{2}O_{3} H_{2}O$ hybrid nanofluid in two infinite vertical parallel plates. To demonstrate phenomena plates nanofluids, Brinkman type fluid model together energy equation is considered. The Caputo–Fabrizio fractional derivative and Laplace transform technique are used to developed exact analytical solutions for velocity temperature profiles. general profiles brought into light through numerical computation graphical representation. obtained results show that dual behaviors $0 < \alpha 1$ \beta where α β parameters. It noticed that, a shorter time, distributions decrease increasing values parameters, whereas trend reverses longer time. Moreover, it found oppositely behave volume fraction nanofluids.