Thermal slip and radiative heat transfer effects on electro-osmotic magnetonanoliquid peristaltic propulsion through a microchannel

Prakash, J; Siva, EP; Tripathi, D; Beg, OA

Abstract

A mathematical study is described to examine the concurrent influence of thermal radiation and thermal wall slip on
the dissipative magnetohydrodynamic electro-osmotic peristaltic propulsion of a viscous nano-liquid in an asymmetric
microchannel under the action of an axial electric field and transverse magnetic field. Convective boundary conditions
are incorporated in the model and the case of forced convection is studied i.e. thermal and species (nanoparticle volume
fraction) buoyancy forces neglected. The heat source and sink effects are also included and the diffusion flux
approximation is employed for radiative heat transfer. The transport model comprises the continuity, momentum,
energy, nanoparticle volume fraction and electric potential equations with appropriate boundary conditions. These are
simplified by negating the inertial forces and invoking the Debye–Hückel linearization. The resulting governing
equations are reduced into a system of non-dimensional simultaneous ordinary differential equations, which is solved
analytically. Numerical evaluation is conducted with symbolic software (MATLAB). The impact of different control
parameters (Hartmann number, electroosmosis parameter, slip parameter, Helmholtz-Smoluchowski velocity, Biot
numbers, Brinkman number, thermal radiation and Prandtl number) on the heat, mass and momentum characteristics
(velocity, temperature, Nusselt number etc.) are presented graphically. Increasing Brinkman number is found to
elevate temperature magnitudes. For positive Helmholtz-Smoluchowski velocity (reverse axial electrical field)
temperature is strongly reduced whereas for negative Helmholtz-Smoluchowski velocity (aligned axial electrical field)
it is significantly elevated. With increasing thermal slip nanoparticle volume fraction is also increased. Heat source
elevates temperatures whereas heat sink depresses them, across the micro-channel span. Conversely, heat sink
elevates nano-particle volume fraction whereas heat source decreases it. Increasing Hartmann (magnetic) parameter
and Prandtl number enhance the nano-particle volume fraction. Furthermore, with increasing radiation parameter the
Nusselt number is reduced at the extremities of the micro-channel whereas it is elevated at intermediate distances. The
results reported provide a good insight into biomimetic energy systems exploiting electromagnetics and nanotechnology
and furthermore they furnish a useful benchmark for experimental and more advanced computational
multi-physics simulations.

Citation

Prakash, J., Siva, E., Tripathi, D., & Beg, O. (2019). Thermal slip and radiative heat transfer effects on electro-osmotic magnetonanoliquid peristaltic propulsion through a microchannel. Heat Transfer - Asian Research, 48(7), 2882-2908. https://doi.org/10.1002/htj.21522

• Journal Article Type: Article
• Acceptance Date: Jun 12, 2019
• Online Publication Date: Jul 16, 2019
• Publication Date: Jul 16, 2019
• Deposit Date: Jun 12, 2019
• Publicly Available Date: Jul 20, 2020
• Journal: Heat Transfer - Asian Research
• Print ISSN: 1099-2871
• Publisher: Wiley
• Volume: 48
• Issue: 7
• Pages: 2882-2908
• DOI: https://doi.org/10.1002/htj.21522
• Publisher URL: https://doi.org/10.1002/htj.21522
• Related Public URLs: https://onlinelibrary.wiley.com/journal/15231496