Process Formula 2

Process Formula 2 - imaginary part y t approaches yp...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Mass Balance on a Draining Tank: Drain Flow α Sq. root of Hydrostatic Head Linearization – Taylor Series: First Order ODE: Second Order ODE: Second Order Underdamped Form: Case 1: ξ > 1 (overdamped): [Stable] real negative distinct roots, − p 1, − p 2 y ( t ) approaches yp slowly, exponentially, without oscillations Case 2: ξ = 1 (critically damped): [Stable] real negative repeated roots y ( t ) approaches yp exponentially and without oscillations Case 3: 0 < ξ < 1 (underdamped): [Stable] distinct roots with a negative real part and an
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: imaginary part y ( t ) approaches yp exponentially and with oscillations Case 4: ξ = 0 (undamped): [Stable] repeated roots with an imaginary part and no real part Oscillations with constant amplitude , indicate a system at the limit of stability Case 5: ξ < 0 (unstable): [Unstable] All values of the damping factor, ξ, that are less than zero yield a solution that has a positive real part e + t will grow without bound and the process will display diverging...
View Full Document

This note was uploaded on 03/31/2008 for the course CHE 3015 taught by Professor Rmd during the Spring '08 term at Virginia Tech.

Page1 / 2

Process Formula 2 - imaginary part y t approaches yp...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online