Dear Hassan,

Satellite thermal sensors like Landsat and MODIS can be used to obtain a thermal map of the lake surface temperature. This temperature data can then be input into mass transfer equations like Dalton's law, along with other parameters like wind speed and humidity, to derive a theoretical evaporation rate. Since some of these parameters may not be available directly through remote sensing, the theoretical equations need to be calibrated and validated with in-situ measurements of evaporation from floating pans or eddy covariance systems. This establishes empirical relationships between surface temperature and evaporation. These empirical equations can then be applied to the thermal maps to obtain the spatial distribution of evaporation over the lake surface. By using thermal data from different satellite passes over time, the temporal variations in evaporation can also be estimated. The remote sensing evaporation algorithms need to be continuously validated and improved through comparison with field measurements of evaporation using instruments installed on the lake.

I hope this may give you some insight and better if you check the published papers in this regard.

Humble Regards,

You can use MODIS data products from the NASA website. You can directly access their evaporation data for free. the spatial resolution is about 500 m. I have used their data. See my publication from the following link.

Conference Paper A Simulation Model to Estimate Actual Evapotranspiration of ...