Question

An oil (p = 1.55 slugs/ft³) streamline follows a 81° incline against gravity.

What is the acceleration along the streamline (ft/s²) if the pressure gradient up the incline is -0.50 psi/ft? Assume steady, incompressible, and inviscid flow.

Answer 1

The acceleration along the oil streamline is -16.1 ft/s², indicating that the oil is moving against the incline and in the opposite direction of gravity.

Step-by-step explanation:

To determine the acceleration along the oil streamline, we need to calculate the pressure gradient along the incline.

Given that the pressure gradient is -0.50 psi/ft and the oil density is 1.55 slugs/ft³, we can convert the pressure gradient to ft/s² using the conversion factor 1 psi/ft = 32.2 ft/s².

Therefore, the acceleration along the streamline is -0.50 x 32.2 = -16.1 ft/s².

This negative acceleration indicates that the oil is moving in the opposite direction of gravity, against the incline.