# Newton's Law of Viscosity

1. Dec 30, 2006

### asdf1

What does it mean by momentum transfer is not a vector (3 components) but rather a tensor (9 components)?

2. Dec 30, 2006

### siddharth

"momentum transfer"? Can you elaborate?

3. Dec 30, 2006

### FredGarvin

Newton says that viscosity is due to molecular diffusion between layers in the fluid. A molecule leaves one layer and transfers it's momentum to the adjoining layer. That transfer creates an acceleration and that acceleration creates shear forces which is related to the viscosity.

Stresses in the most basic forms, i.e. no simplifying assumptions, are tensors. There are nine components 3 normal stresses and 6 shear stresses (note that for equillibrium, the 6 shear stresses are 2 groups of 3 that are equal, $$\tau_{xy} = \tau_{yx}$$).

You might like to read up on tensors by taking a look at this thread that Astronuc created in the tutorial section:

Last edited: Dec 30, 2006
4. Dec 30, 2006

### Staff: Mentor

Thanks for the link to the tutorial, Fred. Cool stuff.

5. Jan 1, 2007

### asdf1

thank you very much!