Related Experiment Video
Updated: Nov 11, 2025

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
Published on: August 27, 2013
Cilia-assisted flow of viscoelastic fluid in a divergent channel under porosity effects
Khurram Javid1, Umar F Alqsair2, Mohsan Hassan3
1Department of Mathematics, Northern University, Wattar-Walli Road, Nowshera, 24110, KPK, Pakistan.
Abstract:
Cilia-driven laminar flow of an incompressible viscoelastic fluid in a divergent channel has been conducted numerically using the BVP4C technique. The non-Newtonian Jeffrey rheological model is utilized to characterize the fluid. The flow equations are formulated in a curvilinear coordinate system, and the porosity effects are simulated with a body force term in the Navier-Stokes equation. The flow equations are transformed into a wave frame from a fixed frame of reference using a linear mathematical relationship. A biological approximation of creeping phenomena and the long-wavelength assumption is used in the flow analysis. The flow analysis is carried out by using a complex (wavy) propulsion of cilia beating. The two-dimensional flow is controlled by physical parameters-Darcy's number, curvature parameter, viscoelastic parameter, phase difference, cilia length, and divergent parameter. They also examined the ciliated pumping and bolus trapping in their flow analysis. The boundary layer phenomena in the velocity profile are noticed under more significant porosity and time relaxation effects. The bolus circulations are reduced for a larger porosity medium and larger numeric values of the time relaxation parameter.
More Related Videos
11:14A Microfluidic System with Surface Patterning for Investigating Cavitation Bubble(s)–Cell Interaction and the Resultant Bioeffects at the Single-cell Level
Published on: January 10, 2017
10:28Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids
Published on: January 3, 2014
Related Concept Videos
Couette Flow
Steady, Laminar Flow in Circular Tubes
Steady, Laminar Flow Between Parallel Plates
Viscosity of Fluid
Bernoulli's Equation for Flow Along a Streamline
Uniform Depth Channel Flow