EMCH 560-S 2010 HW 01 - EMCH 560 Spring 2010 HW01 Problem 1...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EMCH 560, Spring 2010, HW01 Problem 1: For a velocity profile, which is a function of r only, is given by = (/)( 2 - 2 ), where C is a constant and R is the pipe radius. Determine the expression of wall shear stress. U of S Carolina Problem 2: Shown as Figure 1. A disk rotates steadily inside a disk-shaped container filled with oil of viscosity . Assume linear velocity profiles with no slip and neglect stress on the outer edges of the disk. Find a formula for the torque M required to drive the disk. If = 0.3 kg/(m*s), h = 0.5 mm and R = 2 cm, computing M. Figure 1 Problem 3: For the velocity fields described below determine: 1) The rate-of-strain tensor 2) The rate of rotation tensor and the vorticity vector a. = , = -, = 0 b. = 2 + 2 , = - 2 + 2 c. = 2 + 2 , = 2 + 2 + - vorticity field, i.e. the vortex lines. The vortex lines are defined by = = . = ( 2 + 2 ), v = 0, w = 0 Problem 4 (graduate students only): For the following velocity field, determine the ...
View Full Document

This note was uploaded on 02/10/2010 for the course EMCH 566 taught by Professor Li during the Spring '10 term at University of South Carolina Beaufort.

Ask a homework question - tutors are online