The Belousov-Zhabotinsky reaction is a frequently used example for an excitable medium showing propagating oxidation waves. When traveling in a liquid solution without a gel, the chemical waves induce a convective flow in the reaction medium. We present an overview of the different types of flow behaviour in a thin layer of a the Belousov-Zhabotinsky solution. Large chemical wavelength lead to individual flow patterns, each associated with a single wave front, the socalled discrete flow. Short chemical wavelengths induce a cooperative phenomenon in the form of large global flow waves traveling through the fluid layer. The chemical reaction can induce this convection by producing local density changes as well as by generating gradients of surface tension. These coupling mechanisms are a consequence of local changes in the chemical composition of the medium.