I want to study surface air temperature variation of a particular location with respect to boundary layer variability. The observation site is a coastal location of India. I would like to know what is the exact meteorology behind the two.
Did you mean the relationship between atmospheric boundary layer height and surface temperature? If so, please go through the JGR paper in the link below which states an oversimplified relationship avoiding entrainment processes. http://onlinelibrary.wiley.com/doi/10.1002/jgrd.50710/abstract
Could you tell me please what do you mean by "surface air temperature"? Is it the surface temperature, or the near-surface air temperature, or...? Thank you.
The surface temperature in the boundary layer could show the free stream temperature and the recovery temperature which may control the out steam from the ground.
Yep, the main problem with any attempt to answer the question is exactly what is meant by 'surface air temperature'. It varies quite dramatically over the course of a few meters.
I'd also note that there is no 'exact' relationship, since you are likely talking about turbulent processes.
The evolution of atmospheric boundary layer is directly related to the surface forcings such as fluxes of momentum, heat and moisture. More particularly heat and moisture fluxes which are depending on the type of the surface, availability of net radiation flux and moisture play important role in modifying the surface temperature. Under free convective conditions (cloud free condition), one can assume that boundary layer evolution is directly related to tbe surface temperature. But the relationship is not straight forward. For more information do consult Boundary layer meteorology book by R.B. Stull. If wish to discuss more write to me to my mail ID.