Abstract
This research deals with the mathematical model for the development of the peristaltic principle of the combination of the pressure and electroosmotic flow (EOF) of ionic liquid across microchannels with electrokinetic effects. For thermomechanical dynamics, the convective conditions on the boundary for mass and heat transfer at the walls of the channel are quantified. For the microchannel, a porous structure is presumed. Soret, Dufour, and Joule heating are also listed in the scope of the problem addressed. The corresponding equations for the ionic fluid flow, mass, and heat transfer along with the Poisson–Boltzmann equation within the electrical double layer (EDL) are studied. The exact solution has been obtained based on lubrication theory (i.e., low Reynolds number and long wavelength approximations). The channel height is therefore believed to be much higher than the electrical double layer (EDL) thickness. Various dimensionless pertinent parameters illustrate the important aspects of electroosmotically controlled flow and subsequent convective mass/heat transfer attributes in a microchannel. A linear dependency on the fluid flow rate is exhibited by the pressure drop. The analysis shows that the electroosmotic parameter gives a reducing effect on the channel permeability. The distribution of temperature and concentration is greatly affected by convective heat and mass parameters, respectively. In biomedical engineering, the application areas of the study proposed are for the design of the devices such as a microfluidic pump to pump a small amount of ionic liquids by regulating the variation in temperature and concentration.
Highlights
Electroosmosis has been seen to a considerable extent in recent decades
Huang et al [2] demonstrated the electroosmotic flow (EOF). e composition characteristics of microflows were examined on an EOF basis by Haswell [3]. e applications of microfluidics have been addressed by Mathematical Problems in Engineering
We realize that no study on convective heat and mass transfer in EOF altered by peristalsis with Soret, Dufour, Joule heating, and porous medium currently exists. is research covers the void. e main objective of this paper is to study an ionic liquid with viscous dissipation in a microchannel with a porous structure, impact of convective λ heat transfer, and convective mass transfer for EOF. e y equations governing the fluid velocity, mass, and heat transfer in the electrical double layer (EDL) are taken with the famous Poisson–Boltzmann equation
Summary
Electroosmosis has been seen to a considerable extent in recent decades. Microelectromechanical System (MEMS) was the first device with microfluidic technology assembled in the 1980s. e installations of these devices are widespread in a range of contexts comprising biological and biomedical industry sectors, where microfluidic products are termed as LOC (lab-on-chip devices). ese devices can be used for a variety of purposes like biomedical therapeutics and microbial or toxic contamination. Investigations on controlled microchannel flow continued to draw interest, leading to its widespread use in various fields of science, especially genetics, medicine, and medical technology Studies such as this one have shown, on the one hand, that they are capable of revealing interesting characteristics, especially if such channels reflect a longitudinal wave that travels across the length of walls, in this scenario called the peristalsis. Yasmin et al [44] addressed the impact of convective conditions in the peristalsis of Johnson–Segalman fluid in an asymmetric channel With this development, we notice that the solutions may lead to complicated mathematical procedures when the aforesaid nontrivial hypotheses are implemented into the peristaltic microchannels.
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