The stove in Asia represents wealth. It is also the positive energy (Khi) that ward off the dark energy (sickness, evil spirits, bad luck). The stove is the center of the family because it is responsible for cooking up the foods that feed and grow (physically and emotionally) the family and its members and keep the relationships warm.
The sink, if directly opposing the stove, possibly can put out the fire that keep the family healthy, properous and living in harmony.