Newtonian fluid stress tensor (source code)

= Newtonian fluid stress tensor
{c}
{title2=$\boldsymbol\sigma=-pI+\mu[\nabla\mathbf u+(\nabla\mathbf u)^T]$}

For isotropic <incompressible flow> of a <Newtonian fluid>, the <stress> <tensor> is the displayed expression, with <pressure> $p$, <dynamic viscosity> $\mu$, <velocity> $\mathbf u$, and <identity matrix> $I$. In <Couette flow>, its off-diagonal component is the <shear stress>.