Why do trailing edge flaps increase the CL,max of a wing? | pressku.com

I was wondering why do trailing separator flaps summation nan assistance co-efficient for a fixed perspective of attack. I americium guessing it has thing to do pinch delayed travel separation, but this is rather unintuitive, owed to nan accrued camber. It makes consciousness for starring separator flaps/ slats, arsenic location is simply a section travel that mitigates nan adverse unit gradient, starring to delayed travel separation (Fundamentals of Aerodynamics, Anderson). Usually, accrued Re lead to a higher CL,max, but why does accrued camber for trailing edges lead to higher CL?