NSF-REU Project at UIC

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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

Clemson University, SC

David Pelot, UIC

Dr. Yarin, UIC

August 2,2013

Source: www.alibaba.com

Outline:
• Purpose and applications
• Background
• Sample preparation
• Methods of data collection
• Data
• Results
Purpose and Application
• Small Angles <2˚
• Bearings
• Screw extruder
• Larger angles (5 ˚+)
• Construction***
• Grout, mortar, joint compound
• Foods
• Industrial processing
• Jams
• Frosting
• Peanut butters
• Etc.…
• Personal care products
• Creams
• Hair jells
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:

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

Power Law: fluids

=µ Newtonian

=non-Newtonian =µeff: eff. viscosity

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

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

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

Results:
• At same as h1 increases Force decreases

Ho=23 h1 =600um

Ho=34 h1=800um

Ho=15 h1=1500um

Ho=40 h1=1300um

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

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

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

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

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