The simplest use of a Material Delay A delay element that delays flows of materials (e.g., masses, volumes, items). element is to represent the delay of a non-dispersed material flow. To simulate such a system, the Dispersion must be set to”None”.
In this case, the Outflow at any time t is simply the Inflow lagged by the Delay Time:
Outflow(t) = Inflow(t -Delay Time)
An example of such a delay is an assembly line that moves at a constant speed (regardless of the rate at which material enters the line).
In the example shown below, the rate changes as a step (at 10 days), and it takes exactly 5 days to traverse the line:
In the somewhat more interesting example shown below, the rate of addition to the line varies continuously (as a sine curve with a period of 15 days). Again, it takes 5 days to traverse the line:
- Browser View of a Material Delay Element
- Material Delay Elements
- Material Delays with Time-Variable Delay Times
- Mathematics of Material Delays
- Modeling Material Delays with Dispersion
- Modeling Material Delays without Dispersion
- Representing a Material Delay with an Inflow Limit
- Specifying Initial Outflows for Material Delays
- Specifying the Inputs to a Material Delay
- Using Material Delays to Close Feedback Loops and Model Recirculating Systems