I'm not entirely sure on your question. But if you're asking if there is a direct link between different liquids, then no, there isn't.
Generally, density and viscosity both decrease with temperature, so they can be linked that way within a single liquid.
To illustrate the difference between liquids I offer you an example:
Mercury is only 1.4 times more viscous than water, but is 5.4 times more dense.
Glycerine is 15 times more viscous than water, but is only 1.2 times more dense.
(~ at room temp)
As you can see, density and viscosity are very dependent on the type of liquid.
There are also liquids (more properly suspensions) that become very viscous when a magnetic field is applied, but the density is not affected.
There are a large number of factors depending on what type of liquid you are looking at.
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