A bounded fluid stream in thermal nonequilibrium with its bounding solid surface exchanges heat, and this alters its temperature across and along the stream. That this change occurs throughout the stream is what distinguishes it from the semi-bounded streams where the far-field temperature is assumed unchanged (i.e., the change was confined to the thermal boundary layer). We now consider the magnitude, direction, and spatial and temporal variations of qu in a bounded fluid stream (also called an internal flow) that is undergoing surface-convection heat transfer qku. As in Chapter 6, initially our focus is on the fluid and its motion and heat transfer (and this is the reason for the chapter title, bounded fluid streams); later we include the heat transfer in the bounding solid. We examine qu within the fluid and adjacent to the solid surface. As in Chapter 6, at the solid surface, where uf = 0, we use qku to refer to the surface-convection heat flux vector. We will develop the average convection resistance 〈Ru〉L, which represents the combined effect of surface-convection resistance and the change in the average fluid temperature as it exchanges heat with the bounding surface.