Solution_HW2

Solution_HW2 - Solutions for homework set#2 Problem#1 A...

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Solutions for homework set #2: Problem #1: A thin plate of 30x60x0.1 cm 3 size is falling vertically in a narrow slit as shown in Fig 1. The plate thickness is assumed to be negligible as compared to the slit width of 1.5 cm. The slit is filled with a 50-cp oil. Determine the density of plate material required to set the plate in motion at a constant velocity of 0.4 m/s. Answer: 3 (0.18)(0.05)(0.4)(1/ 0.005 1/ 0.01) 1.08 N (0.00018)10( ) 1600 / =+ = =− = = shear bp w shear b p F F FF kg m ρρ ρ Problem #3 : The rheological properties of a particular suspension used in hydraulic fracturing can be approximated reasonably well by either a “power law” or a “Bingham plastic” model over the shear rate range of 1 to 30 s -1 . If the consistency index K is 7 Ns n /m 2 and the flow behavior index n is 0.35 in the power law model, what will be the approximate values of the yield stress and of the plastic viscosity in the Bingham plastic model? Answers Using the power law model 0.35 7 == ±± n K τ γγ When Slit 1.5 cm 1 cm

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12 1 ; 7 N/m 30 ; 23 N/m == ± ± s s γτ
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This note was uploaded on 02/24/2009 for the course PGE 322K taught by Professor Dicarlo during the Spring '08 term at University of Texas.

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Solution_HW2 - Solutions for homework set#2 Problem#1 A...

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