1. Date of download: 6/3/2016 Copyright © ASME. All rights reserved. From: Improving Falling Ball Tests for Viscosity Determination J. Fluids Eng. 2005;128(1):157-163. doi:10.1115/1.2137345 A three-dimensional BEM mesh of a spherical ball in a tube. Note the vertical wall mesh has been cut in half in order to view the ball clearly. Figure Legend:

2. Date of download: 6/3/2016 Copyright © ASME. All rights reserved. From: Improving Falling Ball Tests for Viscosity Determination J. Fluids Eng. 2005;128(1):157-163. doi:10.1115/1.2137345 Falling balls reach terminal velocity in Newtonian fluids when the gap between the falling ball and the ends of the tube is greater than the tube radius. Here H is the gap between the falling ball and the surfaces of the fluid, and vt is the terminal velocity. Included are data from Tanner and Graham. Figure Legend:

3. Date of download: 6/3/2016 Copyright © ASME. All rights reserved. From: Improving Falling Ball Tests for Viscosity Determination J. Fluids Eng. 2005;128(1):157-163. doi:10.1115/1.2137345 The falling-ball velocity, v, of the ball when falling off-center normalized by the velocity of the ball falling along the centerline, vc, as a function of the dimensionless eccentricity. Note a∕R=0.1 in this figure. Figure Legend:

4. Date of download: 6/3/2016 Copyright © ASME. All rights reserved. From: Improving Falling Ball Tests for Viscosity Determination J. Fluids Eng. 2005;128(1):157-163. doi:10.1115/1.2137345 Maximum increased falling-ball velocity as a function of the ratio of ball radius, a, to tube radius, R. Here vmax is the maximum falling-ball velocity for different sized balls when falling off-center. Figure Legend:

5. Date of download: 6/3/2016 Copyright © ASME. All rights reserved. From: Improving Falling Ball Tests for Viscosity Determination J. Fluids Eng. 2005;128(1):157-163. doi:10.1115/1.2137345 Numerically simulated vertical settling velocity of the falling ball plotted against the distance between the center of the falling ball to the top surface of the fluid, Z, for the specific cases when the tube is tilted at 3° and a∕R=0.3. Data are shown for the measurement zone chosen as 4R from the top surface and 3.5R from the bottom of the cylinder. Figure Legend:

6. Date of download: 6/3/2016 Copyright © ASME. All rights reserved. From: Improving Falling Ball Tests for Viscosity Determination J. Fluids Eng. 2005;128(1):157-163. doi:10.1115/1.2137345 Numerically simulated normalized time for the falling ball to pass through the timing zone chosen as 5R from the top surface and 4R from the bottom of the cylinder plotted against the tilt angle of the tube. Results are for a∕R=0.3. Figure Legend:

7. Date of download: 6/3/2016 Copyright © ASME. All rights reserved. From: Improving Falling Ball Tests for Viscosity Determination J. Fluids Eng. 2005;128(1):157-163. doi:10.1115/1.2137345 Variability in 95% percent confident limit decreases as the number of trials increases. Figure Legend: