Page 419 - Introduction to Continuum Mechanics

Newtonian Viscous Fluid 403

Also, we have

and the equation of motion (in the absence of body forces)

Thus,

Noting that

and

we have,

or,

which is Equation (6.26.2).

Example 6.26.1

Show that for steady flow of an inviscid non-heat conducting fluid, if the flow originates
from a homogeneous state, then
2
(a) h+(v /2} = constant, and
(b) if the fluid is an ideal gas then