# How does the temperature of a liquid affect viscosity in mathematical terms?

To clarify, how is the viscosity of a liquid related to its temperature. Does the coefficient change?

Edit: Sorry for the low effort question. Here's a more in-depth one:

So my confusion stems mainly from what viscosity is affected by and how is that represented in the various formulae.

I know of a viscosity coefficient. Is this something that is inherent to a liquid or is it variable and changes in response to other factors, namely temperature.

Is viscosity measured by the viscosity coefficient?

Secondly, how does the temperature affect viscosity? Does it alter the coefficient or is it a separate factor that affects viscosity?

Having read the Wikipedia article, I wasn't able to find a relation between viscosity and temperature in a model or formula, for liquids.

Lastly, the motivation behind this question, aside from simple curiosity and understanding, is that I am designing an experiment to investigate the factors that affect the fluid damping of an object in harmonic motion, as a high school project. I narrowed my two factors to analyse as viscosity and temperature. However, upon further reflection, I realised that the temperature must affect viscosity. Thus I had to choose temperature and the nature of the liquid as my two factors. The issue was that I wasn't sure if temperature affected the coefficient or viscosity directly. If it affected viscosity, then did the nature of the liquid affect the coefficient? If it affected the coefficient, then what did the nature of the liquid affect?

Note that by nature of the liquid I mean the liquid itself, like water or oil.

• en.m.wikipedia.org/wiki/… Check net before you ask at least check Wikipedia Commented Apr 3, 2017 at 7:37
• I did check wikipedia. I didn't understand it Commented Apr 3, 2017 at 9:11
• Well if you didn't understand the Wiki article, can you write up what it was about the article that you couldn't grasp? It would make the question go from appearing to be zero-effort (that is likely to be closed) to a decent question (that may not be closed). Commented Apr 3, 2017 at 9:57
• Apologies for the low effort question. I had a hard time putting it into words. @KyleKanos . Hope it's better now. Commented Apr 3, 2017 at 13:05
• Transport Phenomena by Bird, Stewart, and Lightfoot has a detailed discussion and quantitative treatment of the molecular mechanics regarding the effect of temperature on the viscosity of a liquid. Commented Apr 3, 2017 at 22:29