Electrothermal transport in biological systems : an analytical approach for electrokinetically-modulated peristaltic flow

Tripathi, D; Sharma, A; Beg, OA; Tiwari, A

Abstract

A mathematical model is developed to investigate the combined viscous electro-osmotic flow and heat transfer in a finite length micro-channel with peristaltic wavy walls. The influence of Joule heating is included. The unsteady two-dimensional conservation equations for mass, momentum and energy conservation with viscous dissipation, heat absorption and electro-kinetic body force, are formulated in a Cartesian co-ordinate system. The Joule heating term appears as a quadratic function of axial electrical field in the energy conservation equation. The axial momentum and energy equations are coupled via the thermal buoyancy term. The peristaltic waves propagating along the micro-channel walls are simulated via a time-dependent co-sinusoidal wave function for the transverse vibration of the walls. Both single and train wave propagations are considered. Constant thermo-physical properties are prescribed and a Newtonian viscous model is employed for the fluid. The electrical field terms are rendered into electrical potential terms via the Poisson-Boltzmann equation, Debye length approximation and ionic Nernst Planck equation. The dimensionless emerging linearized electro-thermal boundary value problem is solved using integral methods. A parametric study is conducted to evaluate the impact of isothermal Joule heating term on axial velocity, temperature distribution, pressure difference, volumetric flow rate, skin friction and Nusselt number. The modification in streamline distributions with Joule heating and electro-osmotic velocity is also addressed to elucidate trapping bolus dynamics.

Citation

Tripathi, D., Sharma, A., Beg, O., & Tiwari, A. (2017). Electrothermal transport in biological systems : an analytical approach for electrokinetically-modulated peristaltic flow. Journal of Thermal Science and Engineering Applications, 9(4), https://doi.org/10.1115/1.4036803

• Journal Article Type: Article
• Acceptance Date: Mar 29, 2017
• Online Publication Date: May 22, 2017
• Publication Date: May 22, 2017
• Deposit Date: Mar 30, 2017
• Publicly Available Date: May 22, 2018
• Journal: Journal of Thermal Science and Engineering Applications
• Print ISSN: 1948-5085
• Electronic ISSN: 1948-5093
• Publisher: American Society of Mechanical Engineers
• Volume: 9
• Issue: 4
• DOI: https://doi.org/10.1115/1.4036803
• Publisher URL: http://dx.doi.org/10.1115/1.4036803
• Related Public URLs: http://thermalscienceapplication.asmedigitalcollection.asme.org/journal.aspx