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Effect of ionic size on electroosmotic flow of salt-free power-law fluid in slip nano/micro-slit
Published in Artde D.K.T. Lam, Stephen D. Prior, Siu-Tsen Shen, Sheng-Joue Young, Liang-Wen Ji, Engineering Innovation and Design, 2019
A theoretical study of the effects of ionic size and fluid slip on EOF of a salt-free power-law fluid in a slit has been presented. The analytical solutions for EOF velocity are obtained by solving linearized modified Poisson-Boltzmann equation and Cauchy momentum equation. Based on the EOF velocity, the effects of ionic size and fluid slip length on the EOF velocity and flow rate are investigated in detail. The results show that the fluid slip can enhance the EOF velocity and flow rate, but has no effect on the shape of EOF velocity. Also, the effect of fluid slip on EOF velocity and flow rate is bigger than that of ionic size.
Partial Differential Equations and Modelling
Published in Mattias Blennow, Mathematical Methods for Physics and Engineering, 2018
This reduces the Cauchy momentum equation to () ∂v→∂t+(v→⋅∇)v→=−1ρ∇p+g→,
A comparative study on computational fluid dynamic, fluid-structure interaction and static structural analyses of cerebral aneurysm
Published in Engineering Applications of Computational Fluid Mechanics, 2022
Hong Tao Sun, Kam Yim Sze, Kwok Wing Chow, Anderson Chun On Tsang
The governing equations of the incompressible fluid flow are the Cauchy momentum equation and the continuity equation. Under the Eulerian description in which the computational mesh is fixed in space, they can be expressed as where ∇ = [∂/∂x, ∂/∂y, ∂/∂z]T is the gradient operator, t is the time, ρf is the fluid density, uf is the fluid velocity vector, σf is the fluid stress tensor and the body force is ignored. The fluid stress can be decomposed as σf = τ – I3p in which τ is the shear stress tensor and p is the pressure. The shear stress can be related to the shear strain rate (Morrison, 2001), i.e. where µ is the viscosity coefficient. For Newtonian flow, µ is a constant. WSS can be obtained by projecting τ onto the normal-tangential coordinate system defined at the solid boundary.