Newton's Law of Viscosity: Appendix B.1
We can now attempt to use the definitions that we have to write Newton's Law of Viscosity
In Maple, given our previous definitions this can be written as follows. First, since we will need the Transpose function, we implement the LinearAlgebra package.
Next, note that the following code gives a 3x3 matrix of ones.
Now we simply write Newton's Law of Viscosity in Maple code.
The result is a mess and simplification does not help, as seen below.
Note at this point, it will still be necessary to redefine the Jacobian as we did with the divergence. If this is not done, evaluation at a specific x, y, and z could result in problems. Furthermore, we can see that the given equation is still not completely functional for solving as general system of equations.