Question

Air flows in a 15-cm-diameter horizontal pipe. Determine (a) the pressure at section 2 (consider continuity and ideal gas law) and (b) determine the total friction. Start with Equation 5.22 and provide the necessary equations, calculations, and explanations for both parts.

Answer 1

To determine the pressure at section 2 of the horizontal pipe, we can use the continuity equation and the ideal gas law. According to the continuity equation, the volume flow rate remains constant along the pipe. In this case, we can assume laminar flow.

Step-by-step explanation:

To determine the pressure at section 2 of the horizontal pipe, we can use the continuity equation and the ideal gas law. According to the continuity equation, the volume flow rate remains constant along the pipe. In this case, we can assume laminar flow.

The continuity equation is given by A1v1 = A2v2, where A is the cross-sectional area of the pipe and v is the velocity of the air.

The ideal gas law can be used to relate pressure, volume, temperature, and the number of moles of gas. For an ideal gas, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature.

By combining the continuity equation and the ideal gas law, we can solve for the pressure at section 2 of the pipe.