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Spreading of Herschel- Bulkley fluid using lubrication approximation. NSF-REU Project at UIC. Nadiya Klep Clemson University, SC David Pelot , UIC Dr. Yarin , UIC August 2,2013. Source: www.alibaba.com. Outline:. Purpose and applications Background S ample preparation

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nsf reu project at uic

Spreading of Herschel-Bulkley fluid using lubrication approximation

NSF-REU Project at UIC

NadiyaKlep

Clemson University, SC

David Pelot, UIC

Dr. Yarin, UIC

August 2,2013

Source: www.alibaba.com

outline
Outline:
  • Purpose and applications
  • Background
  • Sample preparation
  • Methods of data collection
  • Data
  • Results
purpose and application
Purpose and Application
  • Small Angles <2˚
  • Bearings
  • Screw extruder
  • Larger angles (5 ˚+)
  • Construction***
    • Grout, mortar, joint compound
  • Foods
    • Industrial processing
      • Spreading of
        • Jams
        • Frosting
        • Peanut butters
        • Etc.…
      • Personal care products
    • Creams
    • Hair jells
background
Background:
  • Small angles in a nutshell:
  • small angle between the two surfaces.
  • convective acceleration
  • viscous forces predominate over inertial forces
  • Navier–Stokes equations becomes simpler:
  • With the use of boundary conditions :
  • at y = 0, u = U at x = 0, p = p0 at y = h, u = 0 and at x = l, p = p0
  • and the fact that volume flow must be a constant:
  • From this the equation for velocity (:
  • Where:

Source: www.substech.com

V0

  • Backflow occurs in areas of increasing
  • pressure near the stationary wall

Source: Schlichting, Boundary-Layer Theory,McGraw-Hill,Inc,1987.

sample preparation
Sample Preparation:

2. Neutralized with NaOH

1. 1.5% Solution of Carbopol

3. Stress yield fluid: Herschel-Bulkley

Source: wikipedia.com

Source: Noveon

Source: www.pharmainfo.net

Source: www.alibaba.com

carbopol viscosity
Carbopol Viscosity

Power Law: fluids

=µ Newtonian

=non-Newtonian =µeff: eff. viscosity

methods of data collection
Methods of data collection:
  • Apparatus to mimic the wedge:
  • High-speed camera
  • Phantom video player
  • MatLab
  • OriginPro graphing
data and analysis
Data and analysis

Source: Schlinchting, Boundary-Layer Theory,McGraw-Hill,Inc,1987.

results
Results:
  • At larger larger amount of fluid under wedge

faster reverse flow

d) 10 ˚ , 1500um, 0.167m/s

e) 20˚, 600um, 0.167m/s

f) 20 ˚, 1300um, 0.167m/s

results1
Results:
  • At same as h1 increases Force decreases

Ho=23 h1 =600um

Ho=34 h1=800um

Ho=15 h1=1500um

Ho=40 h1=1300um

results2
Results:
  • At same h1 increases Force, F (N) decreases

Ho=23 h1=600um

Ho=10 h1=1500um

Ho=18 h1=1500um

Ho=34 h1=800um

Ho=40 h1=1300um

Ho=87 h1=600um

results3
Results:
  • At same h1 & as V0 (U) increases Force increases

Ho=80 h1=650um

V=0.24m/s

Ho=35 h1=1500um

Ho=87 h1=600um

Ho=40 h1=1300um

viscosity
Viscosity

Max shear rate was calculated to be: 300s-1 : Viscosity: 0.6Pas

Min shear rate was calculated to be: 3s-1 : Viscosity 30 Pas

slide15

Questions?

  • Thank you to:
    • NSF grant # 1062943
    • Dr. Yarin
    • David Pelot
    • Everyone in Dr. Yarin’sgroup
    • Professors Takoudis and Jursich
    • Everyone involved with the REU program at UIC