Transient electro-osmotic flow of generalized second-grade fluids under slip boundary conditions

• Published in: Canadian journal of physics Vol. 95; no. 12; pp. 1313 - 1320
• Main Authors: Wang, Xiaoping, Qi, Haitao, Xu, Huanying
• Format: Journal Article
• Language: English
• Published: Ottawa NRC Research Press 01.12.2017; Canadian Science Publishing NRC Research Press
• Subjects: analytical solutions; Approximation; Boundary conditions; Boundary value problems; calcul fractionnaire; Computational fluid dynamics; Constitutive equations; Constitutive relationships; Derivatives; Derivatives (Mathematics); electro-osmotic flow; Electroosmosis; Equilibrium flow; Exact solutions; Flow rates; Flow velocity; Fluid flow; fluide généralisé de grade deux; Fluids; fractional calculus; generalized second-grade fluid; Integral transforms; Integrals; Mathematical models; Microchannels; Newtonian fluids; Parameters; Pressure effects; Rheological properties; Rheology; Slip flow; Slip velocity; solutions analytiques; Steady state; Stress concentration; Velocity; Velocity distribution; Viscoelastic fluids; Viscoelasticity; vitesse de glissement; écoulement électro-osmotique

This work investigates the transient slip flow of viscoelastic fluids in a slit micro-channel under the combined influences of electro-osmotic and pressure gradient forcings. We adopt the generalized second-grade fluid model with fractional derivative as the constitutive equation and the Navier line...