
flüssig
liquid
In the physical state of a liquid; not solid or gaseous.
Bei 0 Grad wird Wasser fest, darüber ist es flüssig.
At 0 degrees, water becomes solid; above that, it is liquid.
liquid / fluent
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liquid
In the physical state of a liquid; not solid or gaseous.
Bei 0 Grad wird Wasser fest, darüber ist es flüssig.
At 0 degrees, water becomes solid; above that, it is liquid.

liquid
In a financial sense, having enough cash or easily available funds to meet payment obligations; solvent.
Nach dem Verkauf des Hauses war er endlich wieder flüssig.
After selling the house, he was finally liquid again.

fluent
In relation to language, reading, or writing: smooth, without hesitation or interruptions; fluent.
Sie spricht bereits nach einem Jahr flüssig Deutsch.
After just one year, she already speaks fluent German.

fluid
Describing a movement or process that proceeds smoothly and without abrupt changes.
Der Tänzer beeindruckte mit seinen flüssigen Bewegungen.
The dancer impressed everyone with his fluid movements.
'Flüssig' (liquid/fluent) belongs to the word family of 'fließen' (to flow) and 'der Fluss' (the river). The basic idea of flowing also helps you understand the figurative meanings, such as with money or language.
Das Wasser fließt den Berg hinab.
The water flows down the mountain.
You can recognize the meaning of 'flüssig' (liquid/fluent) from the noun it describes. If it refers to money, it means solvent or having cash available. If it refers to language, it means fluent. If it refers to a movement, it means smooth or fluid.
Seine Bewegungen beim Tanzen sind sehr flüssig.
His movements while dancing are very fluid.
In connection with language, 'flüssig' (fluent) is almost always combined with verbs like 'sprechen' (to speak), 'lesen' (to read), or 'schreiben' (to write).
Er hat ein Jahr in Deutschland gelebt und kann jetzt flüssig sprechen.
He lived in Germany for a year and can now speak fluently.
In the financial meaning, 'flüssig' (liquid/solvent) is usually used predicatively with the verb 'sein' (to be). You say 'jemand ist flüssig' (someone is liquid/has cash available) or 'jemand ist nicht flüssig' (someone is not liquid/does not have cash available).
Ich kann dir das Geld erst nächste Woche geben, im Moment bin ich nicht flüssig.
I can only give you the money next week; at the moment I'm not liquid.
fluent / flowing
Both flüssig and fließend can express that someone speaks without hesitation. Flüssig focuses more on how smoothly speaking goes in a particular situation. Fließend usually refers to the general ability to speak a language effortlessly and correctly.

Nach kurzer Vorbereitung hielt Maria ihren Vortrag auf Deutsch flüssig.
After a short preparation, Maria gave her presentation in German smoothly.
Nach vielen Jahren in Berlin spricht Maria fließend Deutsch.
After many years in Berlin, Maria speaks German fluently.