Finite element simulations of axisymmetric spherical shell compressible convection were carried out to investigate the effect of various surface boundary conditions in a Venusian mantle. We employed a thermal expansivity α which decreased with depth, a uniform viscosity an order of magnitude greater than the Earth's, and zero and chondritic quantities of internal heating. As long as hot plumes from the core‐mantle boundary were strong, the convection pattern was typical of that for variable α flow; that is, it was characterized by steady upflowing regions, unsteady collections of downflowtng plumes, and large aspect ratio cells. Increases in the internal heating or the temperatureT0at the lop of the convecting layer weakened the hot plumes and therefore decreased the width of the cells. A rigid surface increased the internal temperature and also decreased the widih of convection cells. Extensive regions of subadiabaticity were found in the mantle. We compare our results with those for fully three‐dimensional convection under similar conditions (Schubert et al.,