Study of electrokinetic effects for heat transfer in microchannel with sinusoidal thermal boundary conditions

• Published in: International journal of numerical methods for heat & fluid flow 2019-10, Vol.29 (10), p.3872-3892
• Main Authors: Raees Ul Haq, Muhammad, Xu, Hang, Zhao, Liang
• Format: Article
• Language: English
• Subjects: Boundary conditions; Computational fluid dynamics; Cooling; Electric currents; Electric double layer; Electric fields; Electrokinetic effects; Electrokinetics; Elliptic functions; Fluid flow; Fluids; Grants; Heat conductivity; Heat transfer; Investigations; Laminar flow; Mathematical analysis; Microchannels; Momentum; Momentum equation; Nonlinear equations; Parallel plates; Phase deviation; Physical properties; Pressure effects; Regularity; Reynolds number; Studies; Temperature; Temperature distribution; Velocity; Viscosity
• ISSN: 0961-5539; 1758-6585
• DOI: 10.1108/HFF-04-2018-0179

Purpose The purpose of this study is to obtain the numerical as well as regularity results for the nonlinear elliptic set of equations arising in the study of fluid flow in microchannel induced by the pressure in the presence of interfacial electrokinetic effects. Design/methodology/approach For the numerical study, the authors implemented traditional FDM approach, and for the regularity results they used the classical energy estimates. The interfacial electrokinetic effects result in an additional source term in classical momentum equation, hence affecting the characteristics of the flow and heat transfer. The sinusoidal temperature variation is assumed on side walls. Findings The results were obtained for various combinations of physical parameters appearing in the governing equations. This study concludes that in the presence of electric double layer, the average heat transfer rate reduces along with larger values of Reynolds number. It is observed that the heat transfer increases with the increase in amplitude ratio and phase deviation. The flow behavior and heat transfer rate inside the microchannel are also strongly affected by the presence of κ (kappa). Originality/value To the best of the authors’ knowledge, the problem of heat transfer through microchannel in combination with sinusoidal temperature variation at boundary with electric double layer effects has not been considered previously. Hence, this paper focuses on the influence of the sinusoidal boundary temperature distributions on both sidewalls of a rectangular microchannel through parallel plates with electrokinetic effects on the pressure-driven laminar flow. In addition, a detailed mathematical analysis is also to be carried out to verify the regularity of this model with the proposed boundary conditions. The study used the classical energy method to get the regularity results.