Final answer:
Restrictor-type, noncompensated flow control valves ensure stable flow for incompressible fluids with constant density, where flow rate is tied to the cross-sectional area and velocity of the fluid. Viscosity impacts the flow profile in a tube, with velocity highest in the center.
Step-by-step explanation:
The question is centered on the principle that restrictor-type, noncompensated flow control valves offer a stable flow rate under the conditions of constant load and unchanged fluid viscosity. The subject matter involves concepts from fluid mechanics, which is a branch of engineering and physics that deals with the behavior of fluids at rest and in motion. Based on the information provided, for an incompressible fluid, the density remains constant, irrespective of the flow rate or pipe size.
Flow rate is described by the volume of fluid that passes a point per unit of time, and it's directly proportional to the product of the cross-sectional area (A) of a flow and the average velocity (v), as shown by the equation Q = Av. Additionally, the effect of viscosity is observed in the flow profile across a tube, where the velocity is zero at the walls and increases to a maximum at the center, further outlining the importance of fluid characteristics on flow behavior.