Then explain where it is wrong. Feel free to use your own numbers. Draw a simple diagram showing the airflow and the flow of the slower boundary layer at different observer speeds.
Can you do that, or do you evade that simple request as well?
I don't see your point, but OK, Christian.
Wind = 10km/hr
Boundary = 2km/hr
Difference = 8km/hr.
Yes.
Observer moving at 5km/hr (10km wind / 2km boundary)
-----------Subtract------Add
Wind = 5km/hr or 15km/hr
Boundary = -3km/hr or 7km/hr
Diff = 8km/hr or 8km/hr
Yes.
In real wind the difference is independent of observer travel, so would expect that to be the case at windspeed too; 8km/hr.
But as you see, the observer has no influence on the flows, they are both at 10km/hr and 2km/hr. They don't go slower or move backwards. There are changes form the observer's point of view, but so what?
OK, we agree for real wind, but that is
not the case with the treadmill.
On the treadmill, there are definite changes in the
winds themselves, and that is not the case for real wind.
On the belt, it is not so clear. If the beltspeed is the windspeed, (10km/hr right to left) then the boundary is 8km/hr
slower. So that must be 2km/hr (right to left)
If windspeed 'air' is zero w.rt the observer, then that flow is -2km/hr (the cart speed is positive left to right).
So for the cart observer
Wind = 0 (windspeed)
Boundary = -2km/hr.
Now, the observer on the belt is moving backwards at 10km/hr or -10km/hr w.r.t the cart observer. To get that observer's speed subtract 10km/hr
Wind = ( 0km/hr) - (10km/hr) = -10km/hr
Boundary = (-2km/hr) -(10km/hr) = -12km/hr
The difference is (-10)- (-12) = 2km/hr
That is the
opposite direction of the windspeed condition. of -2km/hr
If you argue that the boundary flow should not be changed then;
Wind = ( 0km/hr) - (10km/hr) = -10km/hr
Boundary = (-2km/hr) = - 2km/hr
The difference is (-10)- (-2) = -8km/hr
That is the
samedirection of the windspeed condition, but -8km/hr
Either way , it is not the same.