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

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
12 1 ; 7 N/m 30 ; 23 N/m == ± ± s s γτ
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 7

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online