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A vessel in which a fluid is received and agitated by using an internal fluid-agitating element driven by a non-contact coupling with a motive device external to the vessel. In one aspect, the vessel is a bag including a first receiver for receiving and holding a fluid-agitating element at a home lo

A vessel in which a fluid is received and agitated by using an internal fluid-agitating element driven by a non-contact coupling with a motive device external to the vessel. In one aspect, the vessel is a bag including a first receiver for receiving and holding a fluid-agitating element at a home location. The first receiver may be in the form of an inwardly-projecting post having an oversized portion for capturing the fluid-agitating element, but various other forms are disclosed. In another aspect, the vessel or bag further includes a second receiver for receiving a portion of an external structure, such as a motive device, and aligning the vessel relative thereto. Related methods are also disclosed.

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1. An apparatus for use in agitating a fluid in connection with a motive device, comprising: a fluid-agitating element adapted to move by way of a non-contact coupling with the motive device; anda collapsible vessel having an interior compartment for receiving the fluid-agitating element, said vesse

1. An apparatus for use in agitating a fluid in connection with a motive device, comprising: a fluid-agitating element adapted to move by way of a non-contact coupling with the motive device; anda collapsible vessel having an interior compartment for receiving the fluid-agitating element, said vessel including a first portion connected to a second portion thicker than the first portion, said second portion being arranged for engaging the fluid-gitating element within the interior compartment of the vessel;wherein the collapsible vessel comprises a sealed bag formed of plastic film forming the first portion and connected to a rigid plastic material forming the second portion. 2. The apparatus of claim 1, further including a peripheral flange connected to the second portion of the vessel, said peripheral flange connecting the second portion with the first portion of the vessel. 3. The apparatus of claim 1, wherein the second portion of the vessel comprises a receiver for receiving the fluid-agitating element. 4. The apparatus of claim 3, wherein the receiver comprises a post. 5. The apparatus of claim 3, wherein the receiver comprises a cup forming a cavity. 6. The apparatus of claim 3, wherein the receiver captures the fluid-agitating element within the interior compartment. 7. The apparatus of claim 1, wherein the second portion comprises a floor of the vessel. 8. The apparatus of claim 1, wherein the fluid-agitating element includes a home or resting position in contact with the second portion of the vessel and is capable of levitating to an active position spaced from the second portion of the vessel. 9. The apparatus of claim 1, wherein the second portion of the vessel includes an external surface projecting outwardly relative to the interior compartment for contacting the motive device. 10. The apparatus of claim 1, wherein the second portion of the vessel is imperforate. 11. The apparatus of claim 1, wherein the fluid-agitating element comprises at least one magnet and at least one blade. 12. The apparatus of claim 1, wherein the second portion forms a floor of the vessel. 13. An apparatus for use in agitating a fluid in connection with a motive device, comprising: a fluid-agitating element adapted to move by way of a non-contact coupling with the motive device; anda collapsible vessel having an interior compartment for receiving the fluid-agitating element, said vessel including a first portion connected to a second portion thicker than the first portion, said second portion being arranged for engaging the fluid-agitating element within the interior compartment of the vessel;wherein the collapsible vessel includes a sidewall having no predetermined shape and capable of assuming a particular shape based on the presence of the fluid in the interior compartment. 14. The apparatus of claim 13, further including a peripheral flange connected to the second portion of the vessel, said peripheral flange connecting the second portion with the first portion of the vessel. 15. The apparatus of claim 13, wherein the second portion of the vessel comprises a receiver for receiving the fluid-agitating element. 16. The apparatus of claim 15, wherein the receiver comprises a post. 17. The apparatus of claim 15, wherein the receiver comprises a cup forming a cavity. 18. The apparatus of claim 15, wherein the receiver captures the fluid-agitating element within the interior compartment. 19. The apparatus of claim 13, wherein the second portion comprises a floor of the vessel. 20. The apparatus of claim 13, wherein the fluid-agitating element includes a home or resting position in contact with the second portion of the vessel and is capable of levitating to an active position spaced from the second portion of the vessel. 21. The apparatus of claim 13, wherein the second portion of the vessel includes an external surface projecting outwardly relative to the interior compartment for contacting the motive device. 22. The apparatus of claim 13, wherein the second portion of the vessel is imperforate. 23. The apparatus of claim 13, wherein the fluid-agitating element comprises at least one magnet and at least one blade. 24. The apparatus of claim 13, wherein the second portion forms a floor of the vessel.