Solution Found!
Converging duct flow is modeled by the steady,
Chapter 4, Problem 17P(choose chapter or problem)
Converging duct flow is modeled by the steady, two-dimensional velocity field of Prob. 11–15. The pressure field is given by
where P0 is the pressure at x =0. Generate an expression for the rate of change of pressure following a fluid particle.
PROBLEM: Consider steady, incompressible, two-dimensional flow through a converging duct (Fig. P11–15). A simple approximate velocity field for this flow is
where U0 is the horizontal speed at x= 0. Note that this equation ignores viscous effects along the walls but is a reasonable approximation throughout the majority of the flow field. Calculate the material acceleration for fluid particles passing through this duct. Give your answer in two ways: (1) as acceleration components ax and ay and (2) as acceleration vector .
Questions & Answers
QUESTION: Problem 17P
Converging duct flow is modeled by the steady, two-dimensional velocity field of Prob. 11–15. The pressure field is given by
where P0 is the pressure at x =0. Generate an expression for the rate of change of pressure following a fluid particle.
PROBLEM: Consider steady, incompressible, two-dimensional flow through a converging duct (Fig. P11–15). A simple approximate velocity field for this flow is
where U0 is the horizontal speed at x= 0. Note that this equation ignores viscous effects along the walls but is a reasonable approximation throughout the majority of the flow field. Calculate the material acceleration for fluid particles passing through this duct. Give your answer in two ways: (1) as acceleration components ax and ay and (2) as acceleration vector .
ANSWER:
Step 1:
Consider a duct flow which is steady, converging and incompressible. The flow happens at two dimensional space.
The pressure field is given by
P = -
----(1)
Where P0 is the pressure at x = 0