Calculating Shear Rate for Non-Newtonian Liquid Flow in Non-Circular Duct

  • Context: Graduate 
  • Thread starter Thread starter delplace
  • Start date Start date
  • Tags Tags
    Liquid Newtonian
Click For Summary
SUMMARY

The discussion focuses on calculating the shear rate for shear-thinning liquids flowing through non-circular ducts. It emphasizes the importance of using rheological equations, specifically the power law model, defined as T = k * j^n, where T is shear stress, k is a consistency index, j is shear rate, and n is the flow behavior index. To determine the viscosity necessary for calculating the Reynolds number, one must first calculate the shear rate (j) within the duct. This process is crucial for accurate fluid dynamics analysis in complex geometries.

PREREQUISITES
  • Understanding of shear-thinning fluids and their properties
  • Familiarity with rheological equations, particularly the power law model
  • Knowledge of fluid dynamics concepts, including Reynolds number
  • Experience with non-circular duct flow analysis
NEXT STEPS
  • Study the application of the power law model in various fluid dynamics scenarios
  • Learn how to calculate shear rate in non-circular ducts
  • Investigate the relationship between viscosity and shear rate in shear-thinning fluids
  • Explore computational fluid dynamics (CFD) tools for simulating non-Newtonian fluid flow
USEFUL FOR

Engineers, fluid dynamicists, and researchers working with non-Newtonian fluid behavior in complex geometries, particularly those involved in the design and analysis of duct systems.

delplace
Messages
64
Reaction score
0
How to calculate the shear rate for the flow of a shear thinning liquid in a non circular duct
 
Physics news on Phys.org
With the constitutive equation relating viscosity (shear stress) to the shear rate. There are many models of shear thinning fluids; pick one.
 
Sorry Sir, I know for shear thinning fluids you have rheological equations linking share stress to shear rate. For example the power law model : T = k j^n. But when you have a shear thinning fluid flowing in a complex duct, you need a viscosity to calculate the Reynolds number. And to have the viscosity (apparent = T/j = kj^(n-1)) you need to calculat j in the duct ! It was the meening of my question. How to calculate the shear rate j ?
 

Similar threads

Graduate Non Newtonian / Newtonian Fluid interface
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Newtonian fluid in compressible flow?
  • · Replies 6 ·
Replies
6
Views
3K
Pressure distribution in a Bingham plastic
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Integral for the calculation of torque
  • · Replies 2 ·
Replies
2
Views
4K
Replacing asphalt used on speed bumps with non-Newtonian fluid?
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Steam flow rate in 2-chamber steam engine system
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad How can the pressure be more in liquid flowing with less speed?
  • · Replies 19 ·
Replies
19
Views
2K
How can we prevent clogging in a drum dryer used for drying liquid digestate?
  • · Replies 9 ·
Replies
9
Views
2K
Heat Transfer Coefficient of a circular water duct of rectangular cross section
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Flow rate calculation of coating application
  • · Replies 30 ·
2
Replies
30
Views
3K