A new industrial plant requires a water flow rate of 5.7 m^3 / min . The gage pressure in the wa

step 1 In this question we have to find the size of the galvanized iron line that should be installed t

A new industrial plant requires a water flow rate of 5.7 m^3...

A new industrial plant requires a water flow rate of 5.7 $\mathrm{m}^{3} / \mathrm{min} .$ The gage pressure in the water main, located in the street $50 \mathrm{m}$ from the plant, is $800 \mathrm{kPa}$. The supply line will require installation of 4 elbows in a total length of $65 \mathrm{m}$. The gage pressure required in the plant is 500 kPa. What size galvanized iron line should be installed?

Key Concepts

Pipe Sizing

Pipe sizing involves determining the appropriate diameter for a pipeline to ensure that the desired flow rate is achieved while controlling pressure losses within acceptable limits. It requires balancing the need for a large enough pipe to reduce friction losses against economic and practical considerations, ensuring that sufficient pressure remains at the delivery point.

Minor Losses

Minor losses are the additional pressure drops that occur due to secondary components in the piping system, such as elbows, valves, and other fittings. Although each component may cause a small loss separately, their cumulative effect can be significant, making it important to include them in overall pressure drop calculations.

Pressure Loss in Pipe Systems

Pressure loss happens due to resistance encountered by the fluid as it moves through a pipe. This includes losses from friction along the pipe walls and additional losses due to fittings, bends, and valves. Accurately calculating pressure loss is essential to ensure that the downstream pressure meets the system requirements.

Friction Loss and the Darcy-Weisbach Equation

Friction loss is a major contributor to pressure drop in a pipeline. The Darcy-Weisbach equation provides a method to quantify energy loss due to friction based on factors like pipe length, diameter, flow velocity, and the friction factor, which depends on the pipe’s material roughness. Understanding this concept helps engineers design pipes that can deliver the required flow with minimal energy losses.

Volumetric Flow Rate

This is the quantity of fluid delivered per unit time, usually expressed in cubic meters per minute or second. It is a fundamental parameter for designing piping systems because it determines the required capacity of the pipe to handle the flow without causing excessive velocity or pressure drop.

Transcript

Please give Ace some feedback