Non-Newtonian Flow Around a Cylinder Array

Analysis Characteristics

Reference

Georgiou,G., Momani,S., Crochet,M.J., Walters, K., “Newtonian and non-Newtonian flow in a channel obstructed by an antisymmetric array of cylinders”, Jour. of Non-Newtonian Fluid Mechanics, 40, (1991), pp. 231-260.

Problem Description

The geometry is a channel with a rectangular cross-section with seven cylinders in a non-symmetric array. A Newtonian and a non-Newtonian fluid were tested. The non-Newtonian fluid is a 2% aqueous solution of polyacrylamide which is considered to be highly elastic shear-thinning.

The pressure drop across the channel calculated by Autodesk Simulation CFD was compared to measured data.

Geometry and Boundary Conditions

Where A = 2.3 cm., B = 1.25 cm., C = 3.375 cm., D = 0.35 cm., L = 32.6 cm., W = 2.5 cm.

The volume flow rate is 12.0 cm3/sec.

Results

The pressure drop (Pa) across the channel is compared:

  Benchmark (Pa) 2013: Build 20120131 % Error 2014: Build 20130102 % Error
Newtonian          
= 30 cc/s 4200 4325.57 2.98 4329.32 3.07
Non-Newtonian          
= 30 cc/s 3400 3578.62 5.25 3599.45 5.87