0
answers
0
watching
49
views
12 Nov 2019
An incompressible two-dimensional flow near a convergence region can often be approximated as u = alpha x + f(y), v = - alpha y + g(x). where is a known constant. Warmup: Find the two-dimensional rate of strain tensor, and hence the principal rates of strain when f(y) = 0: g(x) = 0. What are the principal axes for this flow? The Real Deal: Now, imagine a two-dimensional flow, where convergence and vorticity are coincident, e.g. assume g(x) = 0x, where is also a given constant, i.e. u = alpha x, v = -alpha y + x. For this ease find the rate of strain tensor and find the principal rates of strain (analytically). If = k alpha, where K is a dimensionless constant, what are the principal rates of strain, and what are the principal axes? What is the angle between the y-axis and the principal axes for K=0.05, 0.5. 1, 2 and 3? What arc the principal axes and rates of strain when ?
An incompressible two-dimensional flow near a convergence region can often be approximated as u = alpha x + f(y), v = - alpha y + g(x). where is a known constant. Warmup: Find the two-dimensional rate of strain tensor, and hence the principal rates of strain when f(y) = 0: g(x) = 0. What are the principal axes for this flow? The Real Deal: Now, imagine a two-dimensional flow, where convergence and vorticity are coincident, e.g. assume g(x) = 0x, where is also a given constant, i.e. u = alpha x, v = -alpha y + x. For this ease find the rate of strain tensor and find the principal rates of strain (analytically). If = k alpha, where K is a dimensionless constant, what are the principal rates of strain, and what are the principal axes? What is the angle between the y-axis and the principal axes for K=0.05, 0.5. 1, 2 and 3? What arc the principal axes and rates of strain when ?
0
answers
0
watching
49
views
For unlimited access to Homework Help, a Homework+ subscription is required.