Auger with first section of root having variable diameter, system, method of filling vessels and method of communicating particulate material, thereof

A method of filing vessels, comprising:

• communicating particulate material in at least one first conveying tube in a first direction by rotating an auger in the at least one first conveying tube in a first rotational direction;
• and
• discharging the particulate material from the at least one first conveying tube into one or more vessels at a discharge point of the at least one first conveying tube,
• the auger including
• a root in the shape of a first cylindrically-shaped post, a first section of the root having a variable diameter along a first longitudinal length of the first section, a second section of the root having a first uniform diameter along a second longitudinal length of the second section, the second section extending away from the first section in the first direction, and
• flights extending from the root, the flights being helically wound around the root along a third longitudinal length of the root.

A method of communicating particulate material, comprising:

• communicating particulate material in a conveying tube in a first direction by rotating an auger in the conveying tube in a first rotational direction,
• the auger including
• a root in the shape of a first cylindrically-shaped post, a first section of the root having a variable diameter along a first longitudinal length of the first section, a second section of the root having a first uniform diameter along a second longitudinal length of the second section, the second section extending away from the first section in the first direction, and
• flights extending from the root, the flights being helically wound around the root along a third longitudinal length of the root.