# Residence Time Distribution of Single Continuous Stirred-Tank Reactors Subject to a Square Pulse Input

Residence Time Distribution of Single Continuous Stirred-Tank Reactors Subject to a Square Pulse Input

Consider a single CSTR (continuous stirred-tank reactor) with a residence time equal to three hours. A square pulse input of width is defined by , if and if , where is the Dirac delta function and is the unit step function. This Demonstration plots both the CSTR's residence time distribution (RTD) curve and the square pulse input for user-set values of the width parameter . If , one recovers the usual RTD for an impulse input.

a

C(t)=

0

U(t)-U(t-a)

a

a≠0

C(t)=δ(t)

0

a=0

δ

U

a

a=0