Intensity of traffic in the doorway

Reading time


Test group description

The scenario is a corridor 4 m wide and 50 m long, with an exit at one end. A door with a registering device is located in the middle of the corridor. There are such a number of people in the corridor to the left of the door to provide a flow density equal to 0.9 m^2⁄m^2 . The start time for all people is zero.

Figure. 1. Movement in the doorway.

The traffic intensity in the doorway can be calculated using the formula:

$$ q = \frac{Nf}{t\delta} (1)$$

where N is the number of people who passed through the door, δ is the width of the door, t is the time for which people passed, f is the area of the horizontal projection of a person.

A typical graph of people passing through the doorway in this group of tests has the form shown in Figure 2.

Figure. 2. Movement in a 1.4 m wide doorway.

In determining the number of people and the time for them to pass through the doorway, a linear section is considered where the flow density can be assumed to be greater than 0.9 m^2⁄m^2 .

Expected results

The traffic intensity in the doorway at a flow density of 0.9 m^2⁄m^2 or more equal to 8.5 m/min is set for a doorway width of 1.6 m or more, and for a doorway of less width, the traffic intensity should be determined by the formula:

$$ q = 2,5 + 3,75 ⋅ δ (2)$$

The dependence of the traffic intensity in the doorway on the width of the doorway must be in accordance with relationship (2).

Modeling results

Figure 3 shows the results of the simulated motion in the doorway for doorway widths from 0.7 m to 2.0 m.

Figure. 3. Movement in the doorway.

Analysis of the results

Figure 3 shows that the intensity of human traffic in the doorway corresponds well to relationship (2).