Specialize the equations of motion in Eq XXXXXXXXXXand the continuity equation in Eq. XXXXXXXXXXfor two-dimensional flows of viscous, incompressible (i.e. ρ is a constant), isotropic fluids in terms...

Specialize the equations of motion in Eq. (2.7.14) and the continuity equation in Eq. (2.7.4) for two-dimensional flows of viscous, incompressible (i.e. ρ is a constant), isotropic fluids in terms of the velocity components (v1, v2) and pressure P. Assume that the total stress tensor σ can be expressed as

where µ is the viscosity of the fluid.