{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Homework 06 - Transfer Functions

# Homework 06 - Transfer Functions - Ai The feed flow rate is...

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

Chemical Engineering Department University of Florida ECH 4323 Process Control Theory HOMEWORK No. 6 — TRANSFER FUNCTIONS 1.0 A constant-volume stirred-tank heater can be modeled as ( 29 ( 29 Q T T hA T T wC dt dT C V a i + - - - = r . Assume that w , T i , and T a (the ambient temperature) are constant. The area available for heat losses is A and an appropriate heat transfer coefficient is h . Obtain a transfer function that relates liquid outlet temperature T to Q , the heating rate of the element. 2.0 A process follows the differential equation model: x dt dx y dt dy dt y d dt y d 3 2 4 8 5 2 2 3 3 + = + + + . Find the transfer function relating Y(s) to X(s). Both y and x are deviation variables with zero initial values. 3.0 Exercise 4.5 4.0 A stirred tank reactor is operated with a feed mixture containing reactant A at a mass concentration c

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

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

Unformatted text preview: Ai . The feed flow rate is w i , as shown below in the drawing. Under certain conditions the system operates according to the model ( 29 A A Ai i A i Vkc wc c w dt Vc d w w dt V d r r r--=-= ) ( Derive transfer functions for the outlet concentration c A with respect to (a) c Ai , and (b) w i . Assume that w remains equal to w i for both parts (a) and (b). OPTIONAL: 5.0 Exercise 4.3 Note : Equation (2-45) is d( ρς 29 δτ = ϖ ι- ϖ Equation (2-46) is dT dt = ϖ ι ρς Τ ι- Τ ( 29 + Θ ς ρΧ Eq. (2-46) has a typo in the textbook; use the equation given above instead. Hint : Applepolsher obtained the wrong answer because he did not notice that = ς φ (show that this indeed the mistake he made)....
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Homework 06 - Transfer Functions - Ai The feed flow rate is...

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

View Full Document
Ask a homework question - tutors are online