modelAirResistanceLongitudinal
Velocity dependent longitudinal air resistance
Information
The vehicle's air drag, resolved in frame_a, is calculated as:
fDrag = ( c_W * area * rho * v_x^2 ) / 2
where:
c_W : air drag coefficient, area : cross area of vehicle, rho : density of the air, v_x = vAir[1] : longitudinal component of air velocity, resolved in frame_a.
Just air drag in vehicle's longitudinal direction is calculated here,
which can be specified for frame_a.phi = 0 by the
parameter r.
For example for r = {1, 0} the driving direction is in
x-direction of frame_a and, thus, frame_a.fx = fDrag.
The other forces and torque are disregarded.
Note
This model is limited to negative air velocity v_x only.
For positive velocity, which can occur e.g. when driving rearwards,
the air drag is set to zero.
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Real | c_W | Drag coefficient | |
| SI.Area | area | Frontal cross area of vehicle | |
| SI.Density | rho | 1.18 | Air density |
| SI.Length[2] | r | {1, 0} | Driving direction of vehicle at angle frame_a.phi = 0 |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| Interfaces.Frame_a | frame_a |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| SI.Velocity[2] | vAir | Air velocity relative to vehicle (vAir = -v_veh + v_wind), resolved in frame_a | |
| SI.Force | fDrag | Scalar drag force |
Revisions
Developed 2022 at the DLR Institute of System Dynamics and Control