Approximate analytical solution of the coupled momentum and heat trans
fer equations are obtained, using an integral method, for natural conv
ection boundary layers which are produced by a step change of surface
temperature. The accuracy of the laminar solution is shown to be good,
especially at high Prandtl Number (Pr). The corresponding solutions f
or the turbulent fluid yield a model of a boundary layer in which the
horizontal flow strengthens downstream and is fed by downward motion f
rom above. We call this system, which could possibly simulate the init
iation of a sea breeze circulation, a subsidence front. Interesting pr
operties of the solution include the control of the boundary-layer dev
elopment by the product (PrS), where S is the slope of the boundary la
yer, and also the generation of log-linear velocity and temperature pr
ofiles by heat flux divergence.