Embodiments of the invention are directed to a burner system including at least one Coanda surface and at least two electrodes that are biased in a manner to influences a location of fuel flow relative to the at least one Coanda surface and related methods. In an embodiment, a burner system includes at least one Coanda surface, at least one nozzle positioned and configured to emit a fuel flow at least proximate to the at least one Coanda surface, at least two electrodes, and a voltage source operably coupled to the at least two electrodes. The voltage source may be configured to bias the at least two electrodes to generate an electric field at least proximate to the at least one Coanda surface that influences a location of the fuel flow and/or a flame relative to the at least one Coanda surface.