Analysis of Transient Buoyancy/Electroosmotic Driven Flow in a Vertical Microannulus with Velocity-Slip and Temperature-Jump

Abstract

This article investigates the impact of electric body force on transient natural convection flow in a vertical microannulus with velocity slip and temperature jump. The governing momentum, energy, and Poisson-Boltzmann equations are presented for the current physical situation. The Laplace transform technique is employed to transform the governing partial differential equations into ordinary differential equations and then solved exactly in the Laplace domain using the method of undetermined coefficients. Line graphs and tables are simulated to properly explain the effect of various pertinent parameters entering flow formation and temperature distribution. It is found that the time taken to attain a steady-state solution significantly depends on slip-length and Electric Double Layer (EDL) length. In addition, the role of increasing the annular gap is to minimize the skin friction, electric field strength, and volumetric flow rate.