3rd Numerical of Discharge through Open Channel - Flow through Open Channels - Applied Hydraulics

TL;DR

This video explains how to solve a numerical problem on discharge through open channels, involving calculating the bottom slope and conveyance of a rectangular flume.

Transcript

hello students today we are going to solve third numerical of discharge through open channels now question is given as a flow of water of 100 liters per second flows down in a rectangular flume of weight 600 mm and having adjustable bottom slope if cheji's constant c is 56 find the bottom slope necessary for uniform flow with a depth of flow of 300... Read More

Key Insights

• 🤗 The problem involves converting units to solve numerical calculations for open channel flow.
• 💐 The area of flow in a rectangular flume is determined by multiplying the width and depth.
• 🛌 The slope of the bed is calculated using Chezy's constant and the hydraulic mean depth.
• ❓ The conveyance of the channel is determined using the area, Chezy's constant, and hydraulic mean depth.
• 💐 The problem illustrates how to solve for flow rate, slope, and conveyance in uniform open channel flow.
• 🧑‍🏭 Conversion factors are used to convert between different units of flow and dimensions.
• ❓ The problem assumes a rectangular flume with an adjustable bottom slope.

Questions & Answers

Q: What is the given flow rate in the problem?

The given flow rate is 100 liters per second, which is equivalent to 0.10 cubic meters per second.

Q: How is the area of flow calculated in this problem?

The area of flow is calculated by multiplying the width (600 mm or 0.6 m) and the depth of flow (300 mm or 0.3 m), resulting in an area of 0.18 square meters.

Q: What is Chezy's constant and how is it used in this problem?

Chezy's constant, denoted as c, is given as 56 in this problem. It is used in equations to calculate the slope of the bed and the conveyance of the channel.

Q: How is the hydraulic mean depth calculated in this problem?

The hydraulic mean depth is calculated by dividing the area of flow (0.18 square meters) by the wetted perimeter, which is the sum of the width (0.6 m) and twice the depth of flow (2 x 0.3 m), resulting in a value of 0.15 meters.

Summary & Key Takeaways

• The problem involves calculating the necessary bottom slope for uniform flow in a rectangular flume given a flow rate, width, depth, and Chezy's constant.

• The area of flow is calculated by multiplying the width and depth.

• The value of slope of the bed and the conveyance of the channel are then determined using equations involving the flow rate, area, hydraulic mean depth, and Chezy's constant.