Abstract
The current examination delves into the Casson nanofluid flow in the vertical microchannel. The model employed in this investigation is Buongiorno model which emphasizes the light on Brownian motion and thermophoresis effects occurring during the fluid flow. The microchannel walls are constructed in such a way so that they facilitate the suction and injection of the fluid simultaneously. Porous media is incorporated using Darcy-Forchheimer model. Involving these effects governing equations are modeled which is solved using Runge-Kutta Fehlberg 4th-5th order method. Entropy generation and Bejan number are also obtained for the concerned flow to record irreversibilities in the microchannel. The findings of this examination depict that rise in Casson parameter augments the flow velocity but causes depletion in Bejan number. On packing the microchannel with high porosity, the velocity magnifies. Both Brownian motion and thermophoresis parameter magnifies the temperature.
Highlights
Darcy Forchheimer flow finds its applications in manufacturing processes in the industries which involve pollution of ground water, generation of crude oil and in propulsion devices of missiles, satellites and other space vehicles
The model employed in this investigation is Buongiorno model which emphasizes the light on Brownian motion and thermophoresis effects occurring during the fluid flow
Entropy generation and Bejan number are obtained for the concerned flow to record irreversibilities in the microchannel
Summary
Darcy Forchheimer flow finds its applications in manufacturing processes in the industries which involve pollution of ground water, generation of crude oil and in propulsion devices of missiles, satellites and other space vehicles. Knabner and Roberts [3] mathematical analysed a discrete fracture model in which they have studied the flow in the fracture implementing Darcy–Forchheimer flow They have attained the existence and uniqueness of the solution for the described flow. Their work has reported that thermal field is enlarged by augmentation in Brownian movement and thermophoretic diffusion This model was implemented by Javed and Farooq [21] for their study on melting rheology in two-fold stratified Eyring-Powell flow over surface when the thickness is varied. Gireesha et al [28] scrutinized entropy of couple stress liquid flowing in an upright microchannel For solving these equations, we have assumed that the velocity agrees slip condition at the plates and the heat transfer equation agrees with the convective conditions.
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