Head over Weir given Discharge Calculator

✖The Flow Discharge refers to the volume of water passing through a particular cross-section of a river or stream per unit of time. It is typically measured in (m³/s) or cubic feet per second (cfs).ⓘ Flow Discharge [Q_f]			+10% -10%
✖System Constant k for measuring the discharge rates in flow-measuring structures.ⓘ System Constant k [k]			+10% -10%
✖System Constant n in the discharge rate of streamflow measurement.ⓘ System Constant n [n_system]			+10% -10%

✖Head over Weir is the stream or river to raise the water level or divert its flow.ⓘ Head over Weir given Discharge [H]

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Head over Weir given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head over Weir = (Flow Discharge/System Constant k)^(1/System Constant n)
H = (Q_f/k)^(1/n_system)
This formula uses 4 Variables

Variables Used

Head over Weir - (Measured in Meter) - Head over Weir is the stream or river to raise the water level or divert its flow.
Flow Discharge - (Measured in Cubic Meter per Second) - The Flow Discharge refers to the volume of water passing through a particular cross-section of a river or stream per unit of time. It is typically measured in (m³/s) or cubic feet per second (cfs).
System Constant k - System Constant k for measuring the discharge rates in flow-measuring structures.
System Constant n - System Constant n in the discharge rate of streamflow measurement.

STEP 1: Convert Input(s) to Base Unit

Flow Discharge: 30 Cubic Meter per Second --> 30 Cubic Meter per Second No Conversion Required
System Constant k: 2 --> No Conversion Required
System Constant n: 2.63 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (Q_f/k)^(1/n_system) --> (30/2)^(1/2.63)

Evaluating ... ...

H = 2.80016090765145

STEP 3: Convert Result to Output's Unit

2.80016090765145 Meter --> No Conversion Required

FINAL ANSWER

2.80016090765145 ≈ 2.800161 Meter <-- Head over Weir

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< Flow Measuring Structures Calculators

Free Flow Discharge under Head using Submerged Flow over Weir

LaTeX Go Free Flow Discharge under Head H1 = Submerged Discharge/(1-(Downstream Water Surface Elevation/Upstream Water Surface Elevation)^Exponent of Head)^0.385

Submerged Flow over Weir using Villemonte Formula

LaTeX Go Submerged Discharge = Free Flow Discharge under Head H1*(1-(Downstream Water Surface Elevation/Upstream Water Surface Elevation)^Exponent of Head)^0.385

Head over Weir given Discharge

LaTeX Go Head over Weir = (Flow Discharge/System Constant k)^(1/System Constant n)

Discharge at Structure

LaTeX Go Flow Discharge = System Constant k*(Head over Weir^(System Constant n))

Head over Weir given Discharge Formula

LaTeX Go

Head over Weir = (Flow Discharge/System Constant k)^(1/System Constant n)
H = (Q_f/k)^(1/n_system)

What is the Rate of Discharge?

Discharge is the volume rate of water flow, including any suspended solids (e.g. sediment), dissolved chemicals and/or biologic material (e.g. diatoms), which is transported through a given cross-sectional area.

What is a Weir & Basic Principle governing the Use of Weir?

A weir or low-head dam is a barrier across the width of a river that alters the flow characteristics of water and usually results in a change in the height of the river level. They are also used to control the flow of water for outlets of lakes, ponds, and reservoirs.
The basic principle governing the use of a weir, flume or similar flow-measuring structures is that structures produce a unique control section in the flow.

How to Calculate Head over Weir given Discharge?

Head over Weir given Discharge calculator uses Head over Weir = (Flow Discharge/System Constant k)^(1/System Constant n) to calculate the Head over Weir, The Head over Weir given Discharge formula is defined as the stream or river flow to raise the water level or divert its flow over the hydraulic structure. Head over Weir is denoted by H symbol.

How to calculate Head over Weir given Discharge using this online calculator? To use this online calculator for Head over Weir given Discharge, enter Flow Discharge (Q_f), System Constant k (k) & System Constant n (n_system) and hit the calculate button. Here is how the Head over Weir given Discharge calculation can be explained with given input values -> 2.800161 = (30/2)^(1/2.63).

FAQ

What is Head over Weir given Discharge?

The Head over Weir given Discharge formula is defined as the stream or river flow to raise the water level or divert its flow over the hydraulic structure and is represented as H = (Q_f/k)^(1/n_system) or Head over Weir = (Flow Discharge/System Constant k)^(1/System Constant n). The Flow Discharge refers to the volume of water passing through a particular cross-section of a river or stream per unit of time. It is typically measured in (m³/s) or cubic feet per second (cfs), System Constant k for measuring the discharge rates in flow-measuring structures & System Constant n in the discharge rate of streamflow measurement.

How to calculate Head over Weir given Discharge?

The Head over Weir given Discharge formula is defined as the stream or river flow to raise the water level or divert its flow over the hydraulic structure is calculated using Head over Weir = (Flow Discharge/System Constant k)^(1/System Constant n). To calculate Head over Weir given Discharge, you need Flow Discharge (Q_f), System Constant k (k) & System Constant n (n_system). With our tool, you need to enter the respective value for Flow Discharge, System Constant k & System Constant n and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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