“…Moreover, Fig. 2 (b) shows that our results are similar to those obtained by [36] for electroosmotic Newtonian fluid in a tube. Fig.…”
Section: Graphical Results and Discussionsupporting
confidence: 83%
“…Thus it is important for us to address the permissible ranges of these related parameters. We take the values of the relevant parameters as follows ( [33] , [36] , [42] , [51] , [53] ): (tube) up to (absence of the magnetic field) up to up to 4, the order of parameter S can be achieved, and (absence of the free convection force) up to 6.…”
Section: Graphical Results and Discussionmentioning
confidence: 99%
“…They found that the heat transfer is stemmed mainly from the non-trivial effects of viscous dissipation. There are many useful studies on the heat-transfer characteristics of the electroosmotic flow ( [33] , [34] , [35] , [36] ). The unsteady Newtonian fluid flows over a shrinking permeable long tube with heat transfer was discussed by Elnajjar et al [37] .…”
Applying the electric field to a fluid confined between capillary surfaces is the most recent technique used for studying the fluid movement. This technique is known as electroosmotic flow (EOF). The problem of the Caputo–Fabrizio time-fractional derivative of the electroosmotic generalized Burgers’ fluid through a vertical annulus with free convection heat transfer has been investigated. The annulus walls kept at constant values of a zeta potential. The dimensionless governing equations have been solved with the help of the Laplace and finite Hankel transforms. The inversion of Laplace for the transformed functions is calculated numerically. The essential features of the electroosmotic flow (EOF) and the related thermal characteristics are clearly illustrated by the variations in the velocity, the flow rate, the temperature and the Nusselt number. Moreover, comparisons with other non-Newtonian fluids have been discussed. It was found that the presence of the electric double layer (EDL) accelerates the fluid near the walls of the annulus, while in the core region, the reverse flow is noticed.
“…Moreover, Fig. 2 (b) shows that our results are similar to those obtained by [36] for electroosmotic Newtonian fluid in a tube. Fig.…”
Section: Graphical Results and Discussionsupporting
confidence: 83%
“…Thus it is important for us to address the permissible ranges of these related parameters. We take the values of the relevant parameters as follows ( [33] , [36] , [42] , [51] , [53] ): (tube) up to (absence of the magnetic field) up to up to 4, the order of parameter S can be achieved, and (absence of the free convection force) up to 6.…”
Section: Graphical Results and Discussionmentioning
confidence: 99%
“…They found that the heat transfer is stemmed mainly from the non-trivial effects of viscous dissipation. There are many useful studies on the heat-transfer characteristics of the electroosmotic flow ( [33] , [34] , [35] , [36] ). The unsteady Newtonian fluid flows over a shrinking permeable long tube with heat transfer was discussed by Elnajjar et al [37] .…”
Applying the electric field to a fluid confined between capillary surfaces is the most recent technique used for studying the fluid movement. This technique is known as electroosmotic flow (EOF). The problem of the Caputo–Fabrizio time-fractional derivative of the electroosmotic generalized Burgers’ fluid through a vertical annulus with free convection heat transfer has been investigated. The annulus walls kept at constant values of a zeta potential. The dimensionless governing equations have been solved with the help of the Laplace and finite Hankel transforms. The inversion of Laplace for the transformed functions is calculated numerically. The essential features of the electroosmotic flow (EOF) and the related thermal characteristics are clearly illustrated by the variations in the velocity, the flow rate, the temperature and the Nusselt number. Moreover, comparisons with other non-Newtonian fluids have been discussed. It was found that the presence of the electric double layer (EDL) accelerates the fluid near the walls of the annulus, while in the core region, the reverse flow is noticed.
“…Hence, only the z-direction velocity component w is considered. e flow is thermally fully developed with a constant wall heat flux which implies that the temperature gradient in z-direction is constant, i.e., zT/zz � C 1 (refer to [53]). Furthermore, the nanoparticle mass flux on the wall is assumed to be constant, i.e., zC/zz � C 2 .…”
Microscale heat sinks based on channels or pipes are designed to restrict the temperatures of microelectromechanical systems, which have a wide range of applications in the modern engineering and mechanics. In this context, this work aims to study heat convection and entropy generation of a fully developed nanofluid flow in a circular micropipe in the presence of an electrical double layer. Buongiorno’s model is employed to exhibit the nanofluid behavior. The governing equations are reduced to a system of nonlinear ordinary differential equations through appropriate similarity transformations. Particularly, we rectify the pressure term as an unknown constant, which makes our flow model compatible with those well-known fluid flow models in macrosize. Highly accurate solutions are obtained and verified. Analysis for physical properties of electric field, velocity field, temperature, and nanoparticle distributions is discussed followed by an investigation of the entropy evolution in the flow. The results show that flow behavior and total entropy of the system depend on the electroosmosis, thermophoresis, and fluid viscosity. However, the influence of the electrical double layer on the flow and system entropy is negligible when the electroosmotic parameter exceeds a maximum value.
“…The model above has been extended to the case of power-law fluid in a slit microchannel [25] and in a rectangular microchannel [26], where the temperature distribution and Nusselt number have been numerically solved by taking into account the Joule heating effect and viscous dissipation. Lately, the effects of magnetic field on the heat generation of EOF has been given importance [27].…”
The hydrodynamic and thermal behavior of the electroosmotic flow of power-law nanofluid is studied. A modified Cauchy momentum equation governing the hydrodynamic behavior of power-law nanofluid flow in a rectangular microchannel is firstly developed. To explore the thermal behavior of power-law nanofluid flow, the energy equation is developed, which is coupled to the velocity field. A numerical algorithm based on the Crank–Nicolson method and compact difference schemes is proposed, whereby the velocity, temperature, and Nusselt number are computed for different parameters. A larger nanoparticle volume fraction significantly reduces the velocity and enhances the temperature regardless of the base fluid rheology. The Nusselt number increases with the flow behavior index and with electrokinetic width when considering the surface heating effect, which decreases with the Joule heating parameter. The heat transfer rate of electroosmotic flow is enhanced for shear thickening nanofluids or at a greater nanoparticle volume fraction.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
