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Head over Weir given Discharge Formula

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Head over Weir is the stream or river to raise the water level or divert its flow. Check FAQs

H = {(\frac{Q f}{k})}^{\frac{1}{n system}}

H - Head over Weir?Q_f - Flow Discharge?k - System Constant k?n_system - System Constant n?

Head over Weir given Discharge Example

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With units

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Here is how the Head over Weir given Discharge equation looks like with Values.

Here is how the Head over Weir given Discharge equation looks like with Units.

Here is how the Head over Weir given Discharge equation looks like.

2.8002 = {(\frac{30}{2})}^{\frac{1}{2.63}}

2.8002m = {(\frac{30m³/s}{2})}^{\frac{1}{2.63}}

2.8002 = {(\frac{30}{2})}^{\frac{1}{2.63}}

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Head over Weir given Discharge Solution

Follow our step by step solution on how to calculate Head over Weir given Discharge?

FIRST Step Consider the formula

H = {(\frac{Q f}{k})}^{\frac{1}{n system}}

Next Step Substitute values of Variables

∴

H = {(\frac{30m³/s}{2})}^{\frac{1}{2.63}}

Next Step Prepare to Evaluate

∴

H = {(\frac{30}{2})}^{\frac{1}{2.63}}

Next Step Evaluate

∴

H = 2.80016090765145m

LAST Step Rounding Answer

∴

H = 2.8002m

Head over Weir given Discharge Formula Elements

Variables

Head over Weir

Head over Weir is the stream or river to raise the water level or divert its flow.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head over Weir

Flow Discharge

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).

Symbol: Q_f

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Flow Discharge

System Constant k

System Constant k for measuring the discharge rates in flow-measuring structures.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find System Constant k

System Constant n

System Constant n in the discharge rate of streamflow measurement.

Symbol: n_system

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find System Constant n

Other formulas in Flow Measuring Structures category

Go Discharge at Structure

Q f = k \cdot (H^{n system})

Go Submerged Flow over Weir using Villemonte Formula

Q s = Q 1 \cdot {(1 - {(\frac{H 2}{H 1})}^{n head})}^{0.385}

Go Free Flow Discharge under Head using Submerged Flow over Weir

Q 1 = \frac{Q s}{{(1 - {(\frac{H 2}{H 1})}^{n head})}^{0.385}}

How to Evaluate Head over Weir given Discharge?

Head over Weir given Discharge evaluator uses Head over Weir = (Flow Discharge/System Constant k)^(1/System Constant n) to evaluate 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 evaluate Head over Weir given Discharge using this online evaluator? To use this online evaluator 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.

FAQs on Head over Weir given Discharge

What is the formula to find Head over Weir given Discharge?

The formula of Head over Weir given Discharge is expressed as Head over Weir = (Flow Discharge/System Constant k)^(1/System Constant n). Here is an example- 2.800161 = (30/2)^(1/2.63).

How to calculate Head over Weir given Discharge?

With Flow Discharge (Q_f), System Constant k (k) & System Constant n (n_system) we can find Head over Weir given Discharge using the formula - Head over Weir = (Flow Discharge/System Constant k)^(1/System Constant n).

Can the Head over Weir given Discharge be negative?

No, the Head over Weir given Discharge, measured in Length cannot be negative.

Which unit is used to measure Head over Weir given Discharge?

Head over Weir given Discharge is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Head over Weir given Discharge can be measured.

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