A machine for processing a liquid food substance, such as milk or a milk-based substance, comprising: - a container delimiting a food cavity for containing said liquid food substance, such as a container provided with a removable lid for covering the cavity; - an impeller for driving said liquid food substance in the food cavity; - a housing delimiting a powered cavity, e.g. a cavity powered by the mains via an electric cord, that is adjacent the container and that contains: - a motor for driving the impeller; and - a heat evacuation system (35,36,37,37',37") for evacuating heat from the powered cavity to a space outside such machine, comprising a motorized ventilation arrangement (35,36) and at least one flow path extending in the powered cavity from at least one air inlet opening in the housing to at least one air outlet opening (37") in the housing, optionally the openings (37',37") being located on a machine external bottom face (3") and/or machine external side face(s); and - a control unit, e.g. a unit in the powered cavity and/or fixed to the housing, for controlling the impeller motor, the motorized ventilation arrangement (35,36), optionally, the impeller having at least one of: a surface for imparting a mechanical effect to the liquid food substance in the container cavity, such as for mixing the liquid food substance with another fluid, e.g. air; a foot for being coupled to the impeller motor, e.g. via magnetic elements in the foot; and an axle extending towards a mouth of the container when the impeller is driven by the impeller motor, e.g. an axle that is seizable by a user for removing the impeller from the container, the motorized ventilation arrangement comprising a first ventilation device driven by the impeller motor, further to the first ventilation device and to the impeller motor, the motorized ventilation arrangement comprising a second ventilation device and a further motor that is different to the impeller motor, the further motor being controlled by the control unit to drive the second ventilation device, optionally the control unit being connected to a temperature sensor located in thermal communication with the flow path for a closed loop control of the second ventilation device by the control unit, characterised in that the housing further contains a thermal conditioner for generating heat in the food cavity, the control unit controlling the thermal conditioner, optionally the thermal conditioner being also arranged for removing heat from the food cavity. - a container delimiting a food cavity for containing said liquid food substance, such as a container provided with a removable lid for covering the cavity; - an impeller for driving said liquid food substance in the food cavity; - a housing delimiting a powered cavity, e.g. a cavity powered by the mains via an electric cord, that is adjacent the container and that contains: - a motor for driving the impeller; and - a heat evacuation system (35,36,37,37',37") for evacuating heat from the powered cavity to a space outside such machine, comprising a motorized ventilation arrangement (35,36) and at least one flow path extending in the powered cavity from at least one air inlet opening in the housing to at least one air outlet opening (37") in the housing, optionally the openings (37',37") being located on a machine external bottom face (3") and/or machine external side face(s); and - a motor for driving the impeller; and - a heat evacuation system (35,36,37,37',37") for evacuating heat from the powered cavity to a space outside such machine, comprising a motorized ventilation arrangement (35,36) and at least one flow path extending in the powered cavity from at least one air inlet opening in the housing to at least one air outlet opening (37") in the housing, optionally the openings (37',37") being located on a machine external bottom face (3") and/or machine external side face(s); - a control unit, e.g. a unit in the powered cavity and/or fixed to the housing, for controlling the impeller motor, the motorized ventilation arrangement (35,36), optionally, the impeller having at least one of: a surface for imparting a mechanical effect to the liquid food substance in the container cavity, such as for mixing the liquid food substance with another fluid, e.g. air; a foot for being coupled to the impeller motor, e.g. via magnetic elements in the foot; and an axle extending towards a mouth of the container when the impeller is driven by the impeller motor, e.g. an axle that is seizable by a user for removing the impeller from the container, the motorized ventilation arrangement comprising a first ventilation device driven by the impeller motor, further to the first ventilation device and to the impeller motor, the motorized ventilation arrangement comprising a second ventilation device and a further motor that is different to the impeller motor, the further motor being controlled by the control unit to drive the second ventilation device, optionally the control unit being connected to a temperature sensor located in thermal communication with the flow path for a closed loop control of the second ventilation device by the control unit, characterised in that the housing further contains a thermal conditioner for generating heat in the food cavity, the control unit controlling the thermal conditioner, optionally the thermal conditioner being also arranged for removing heat from the food cavity.