Problem 1.2-4 Material description of an 3.0 1.00 0.75 2.5 0.50 0.25 0.00 2.0 axisymmetric stagnation...

Transcribed Image Text:

Problem 1.2-4 Material description of an 3.0 1.00 0.75 2.5 0.50 0.25 0.00 2.0 axisymmetric stagnation point flow %2 1.0 1.5 2.0 2.5 The motion of a fluid is described in 3.0 material coordinates by: I1 $1 et, $2 et, I3 = 3e-2at with given a = const and z(t = 0). = I2 a) Calculate the velocity and acceleration components u;(E;, t) and b; (, t) in material coordinates. b) Determine the spatial description of the velocity and acceleration com- ponents u(k, t) and bi(x, t) by eliminating the material coordinates E = (2x, t) in the results obtained in a). c) Find the acceleration components using the substantial derivatives of ui(Ik, t). d) Is this a potential flow? If yes, find the potential function. Problem 1.2-4 Material description of an 3.0 1.00 0.75 2.5 0.50 0.25 0.00 2.0 axisymmetric stagnation point flow %2 1.0 1.5 2.0 2.5 The motion of a fluid is described in 3.0 material coordinates by: I1 $1 et, $2 et, I3 = 3e-2at with given a = const and z(t = 0). = I2 a) Calculate the velocity and acceleration components u;(E;, t) and b; (, t) in material coordinates. b) Determine the spatial description of the velocity and acceleration com- ponents u(k, t) and bi(x, t) by eliminating the material coordinates E = (2x, t) in the results obtained in a). c) Find the acceleration components using the substantial derivatives of ui(Ik, t). d) Is this a potential flow? If yes, find the potential function.

Answer rating: 100% (QA)

The detailed ... View the full answer