Abstract
In this article, a free convection flow of [Formula: see text] hybrid Maxwell nanofluids through a channel formed by two infinite vertical plates have been studied. Together with the the energy balance and heat source, a fractional model of Maxwell fluid is considered. To develop an analytical exact solution for velocity field, only the Caputo-Fabrizio definition of non-integral derivative together with application of Laplace transform method has been used. Some graphical presentation and discussion are made to see the effects of hybrid nanofluids and non-dimensional parameters on velocity boundary layer. As a result, a dual behavior of velocity was exposed due to fractional parameter for large and small times. A comparison between two kind of non-Newtonian fluids has been made and found that Brinkman fluid is more viscous than Maxwell fluid. Also, by letting Brinkman and Maxwell parameters zero, they coincides and the results obtained for Newtonian fluid showed graphically. The obtained results are realistic from the fractional model as by adjusting the values of fractional parameter can be compared with some experimental data.
Highlights
In the recent years, the fractional calculus has become an emerging tool in all fields of science
Brinkman type fluid model utilized by Saqib et al.[36] presents a generalization of free convection flow of Cu À Al2O3H2O hybrid nanofluid through two infinite vertical parallel plates
Generalized fractional partial differential equation for momentum and energy balance are solved for velocity and temperature by Laplace transform method
Summary
The fractional calculus has become an emerging tool in all fields of science. Keywords Caputo-Fabrizio, hybrid nanofluid, channel flow, boundary layer, heat source, Maxwell fluid
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