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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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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: • 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 • Spreading of • 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