  We provide a new framework to model the day side and night side atmospheres
of irradiated exoplanets using 1-D radiative transfer by incorporating a
self-consistent heat flux carried by circulation currents (winds) between the
two sides. The advantages of our model are its physical motivation and
computational efficiency, which allows for an exploration of a wide range of
atmospheric parameters. We use this forward model to explore the day and night
side atmosphere of WASP-76~b, an ultra-hot Jupiter which shows evidence for a
thermal inversion and Fe condensation, and WASP-43~b, comparing our model
against high precision phase curves and general circulation models. We are able
to closely match the observations as well as prior theoretical predictions for
both of these planets with our model. We also model a range of hot Jupiters
with equilibrium temperatures between 1000-3000~K and reproduce the observed
trend that the day-night temperature contrast increases with equilibrium
temperature up to $\sim$2500~K beyond which the dissociation of H$_2$ becomes
significant and the relative temperature difference declines.
