Abstract
The present paper concerned with study the of combined electro-osmotic peristaltic transport with heat and mass transfer which is represented by the Soret and Dufour phenomenon with the presence of the Joule electrothermal heating through a microchannel occupy by Rabinowitsch fluid. The unsteady two-dimensional governing equations for flow with energy and concentration conservation have been formed in a Cartesian coordinate system and the lubrication theory is applied to modify the relevant equations to the problem. The Debye-Hukel linearization approximation is utilizing to modify the electrohydrodynamics problem. The expressions for the axial velocity, the temperature profile, the concentration profile, and the volumetric flow rate are obtained analytically to gain exact solutions, while the numerical integration is used to analyze the pressure rise. The attitude of the Helmholtz-Smoluchowski velocity, the electro-osmotic parameter, the Joule electrothermal heating, the Dufour number, the Soret number, is studied and graphically analyzed. It is showed that the presence of the electric field increased the velocity of the fluid and pressure rise, and it is revealed that the temperature and concentration profile congregate in the center of the channel with increase in the Soret and Dufour number.
Highlights
For many times, attention has been paid to studying a mechanism called peristalsis, which is a special type of fluid transport, it is created by the propagation of expansion or contraction progressive waves along the flexible wall of the conduit
The parameters effect on the temperature profile is analyzed via Figures (3)(a-c) and from the first look at the graphs, it is noted that with the positive values of Joule heating, the temperature decreases and is concentrated in the middle area of the channel and its values are in the negative part of the axis of y
Mathematica program has been employed to evaluate numerical solutions derived for the axial velocity, the temperature profile, concentration, the heat transfer coefficient, and the pressure rise after simplified the electrokinetic transport equations via the lubrication theory
Summary
Attention has been paid to studying a mechanism called peristalsis, which is a special type of fluid transport, it is created by the propagation of expansion or contraction progressive waves along the flexible wall of the conduit. Tripathi et al [7] discussed the effect of the external electric field on the Newtonian model with peristaltic flow through the microchannel and they concluded that the applied electric field can control the velocity and pressure gradient of the fluid during the flux, the impact of Joule electrothermal heating and buoyancy on nanofluids in a two-dimensional microchannel under electroosmotic peristaltic pumping is investigated in Refs.[8,9]. Further studies in this field are cited in [1013].
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