With strong diurnal warming, the temperature at the air-sea interface could be several degrees warmer than the temperature at one or two metres depth. To correctly interpret SST measurements during conditions of diurnal-warming of SST, the diurnal response to environmental conditions must be understood. This thesis is a study of the response of diurnal-warming of SST to the primary environmental conditions that cause it. A one-dimensional ocean turbulence model is used to simulate the diurnal-cycle of warming of SST. The model is developed and enhanced to enable accurate predictions of amplitudes of the night to day difference in SST and the stratification associated with strong warming events. The enhanced model is validated with data from in-situ instrumented moorings. The model is used to investigate the shape and timing of the warming response to environmental causes, including the timing of those causes. The one-dimensional turbulence model must be ‘forced’ with air-sea fluxes. Available data sets for these fluxes have various temporal resolutions, from just a few minutes (high resolution) to daily averages. The performance of the model is tested against temporal resolution of the air-sea fluxes. This allows for a realistic interpretation of the modelled SST for applications where data is only available at low temporal resolution. SSTs from the Meteosat Second Generation (MSG) satellite have recently become available. SSTs (at the air-sea interface) from the new model are compared with the satellite SSTs at buoy locations in the Atlantic and show useful agreement with the shape and amplitude of the diurnal cycle for several events, (within the limits imposed by the low-resolution forcing data presently available for the satellite/buoy match-ups).