Case of Start-up of Steady Shear
For this case only two components of the shear stress became non-zero:
and
The equations above describe stresses gradually risen from zero the steady-state values. The equation is only applicable, when the velocity profile in the shear flow is fully developed. Then the shear rate is constant over the channel height. If the start-up form a zero velocity distribution has to be calculated, the full set of PDEs has to be solved.
Read more about this topic: Upper Convected Maxwell Model
Famous quotes containing the words case of, case and/or steady:
“In the case of scandal, as in that of robbery, the receiver is always thought as bad as the thief.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)
“When you are invited by someone to a wedding banquet, do not sit down at the place of honor, in case someone more distinguished than you has been invited by your host...But when you are invited, go and sit down at the lowest place, so that when your host comes, he may say to you, Friend, move up higher’; then you will be honored in the presence of all who sit at the table with you.”
—Bible: New Testament, Luke 14:8,10.
“With steady eye on the real issue, let us reinaugurate the good old “central ideas” of the Republic. We can do it. The human heart is with us—God is with us. We shall again be able not to declare, that “all States as States, are equal,” nor yet that “all citizens as citizens are equal,” but to renew the broader, better declaration, including both these and much more, that “all men are created equal.””
—Abraham Lincoln (1809–1865)