Influence of Joule heating and wall slip in electroosmotic flow via peristalsis: second law analysis
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(2020) 42:295
TECHNICAL PAPER
Influence of Joule heating and wall slip in electroosmotic flow via peristalsis: second law analysis S. Noreen1,2 · S. Waheed2 · D. C. Lu1 Received: 14 November 2019 / Accepted: 8 April 2020 © The Brazilian Society of Mechanical Sciences and Engineering 2020
Abstract Electrokinetic peristaltic slip transport in an asymmetric porous microchannel is studied to explore the entropy production in steady magnetohydrodynamic Jeffery fluid under simulation of Debye and long-wavelength approximations. The emerging two-dimensional bounded problem with electrokinetic body forces is solved numerically. Appropriate combination of heat and momentum equations with Jeffery model, after non-dimensionalization, generated controlling parameters in order to determine velocity, pressure gradient, temperature, entropy production and Bejan number. The trapping mechanism is also visualized by drawing streamlines against governing parameters. The zeta potential signifies the flow and heat response of the system. Former parameters like Brinkman number and Joule heating are compatibly liable for the increase in thermal irreversibilities. The outcomes of the present analysis are applicable in designing the thermofluidic micropumps and biomicrofluidic devices for separation processes and diagnosis. Keywords Entropy · Joule heating · Electroosmosis · MHD Jeffery fluid · Slip velocity · Zeta potential
1 Introduction Electrokinetic transport has attracted many researchers interest into past few decades. This transport is actuated by applying electric field which includes flow in microchannels. Electroosmosis is one of the electrokinetic mechanisms which means movement of fluid relative to stationary surface after applying external electric field. In recent years, electroosmosis has found rich applications in biological, industrial and medical processes, such as tubule/canalicular flow, porous membranes, fluid dialysis, botanical processes, transport in human skin and separation techniques. The development of microfluidic devices enables the integration of miniaturized components for accomplishing bio/ chemical processes or medical diagnostics. Performing medical diagnostics in a microfluidic system allows automatic Technical Editor: Jader Barbosa Jr., PhD. * S. Noreen [email protected] 1
Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China
Department of Mathematics, Comsats University Islamabad, Tarlai Kalan Park Road, Islamabad 44000, Pakistan
2
biochemical analysis to be carried out at a volumetric scale several orders of magnitudes below conventional practice. Above all, the technology provides great promise in improving sensitivity, specificity and the processing time required. Recent computational researches [1–4] on the electroosmotic flow are reported on Newtonian fluids. The peristaltic flow is an established propulsion mechanism in organs of human body applications in interdisciplinary science. Representative investigations [5–11] on peristaltic trans
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