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Velocity Equation of Hydraulics Formula

GoDischarge per unit width of aquifers Formula

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The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered. Check FAQs

q = A \cdot v

q - Discharge per Unit Width of Aquifer?A - Cross-Sectional Area?v - Groundwater Velocity?

Velocity Equation of Hydraulics Example

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With units

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Here is how the Velocity Equation of Hydraulics equation looks like with Values.

Here is how the Velocity Equation of Hydraulics equation looks like with Units.

Here is how the Velocity Equation of Hydraulics equation looks like.

30 = 100 \cdot 0.3

30m³/s = 100m² \cdot 0.3m/s

30 = 100 \cdot 0.3

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Velocity Equation of Hydraulics Solution

Follow our step by step solution on how to calculate Velocity Equation of Hydraulics?

FIRST Step Consider the formula

q = A \cdot v

Next Step Substitute values of Variables

∴

q = 100m² \cdot 0.3m/s

Next Step Prepare to Evaluate

∴

q = 100 \cdot 0.3

LAST Step Evaluate

∴

q = 30m³/s

Velocity Equation of Hydraulics Formula Elements

Variables

Discharge per Unit Width of Aquifer

The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered.

Symbol: q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge per Unit Width of Aquifer

Cross-Sectional Area

The Cross-Sectional Area is referred as product of width multiplied by average water depth.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area

Groundwater Velocity

The Groundwater Velocity refers to the speed at which groundwater moves through the pores or fractures in a subsurface material, such as soil or rock.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Groundwater Velocity

Other Formulas to find Discharge per Unit Width of Aquifer

Go Discharge per unit width of aquifers

q = (\frac{h o - h 1}{L stream}) \cdot k \cdot b

Other formulas in Confined Groundwater Flow between Water Bodies category

Go Equation of Hydraulic Grade Line in Confined Groundwater Flow

P = h o - (\frac{h o - h 1}{L stream}) \cdot x

Go Coefficient of Permeability when Discharge is Considered

k = q \cdot \frac{L stream}{(h o - h 1) \cdot b}

Go Aquifer Thickness when Discharge is Considered

b = q \cdot \frac{L stream}{(h o - h 1) \cdot k}

Go Length when Discharge per Unit Width of Aquifer is Considered

L stream = (\frac{h o - h 1}{q}) \cdot k \cdot b

How to Evaluate Velocity Equation of Hydraulics?

Velocity Equation of Hydraulics evaluator uses Discharge per Unit Width of Aquifer = Cross-Sectional Area*Groundwater Velocity to evaluate the Discharge per Unit Width of Aquifer, Velocity Equation of Hydraulics formula is defined as the product of cross-sectional area and groundwater velocity. Discharge per Unit Width of Aquifer is denoted by q symbol.

How to evaluate Velocity Equation of Hydraulics using this online evaluator? To use this online evaluator for Velocity Equation of Hydraulics, enter Cross-Sectional Area (A) & Groundwater Velocity (v) and hit the calculate button.

FAQs on Velocity Equation of Hydraulics

What is the formula to find Velocity Equation of Hydraulics?

The formula of Velocity Equation of Hydraulics is expressed as Discharge per Unit Width of Aquifer = Cross-Sectional Area*Groundwater Velocity. Here is an example- 30 = 100*0.3.

How to calculate Velocity Equation of Hydraulics?

With Cross-Sectional Area (A) & Groundwater Velocity (v) we can find Velocity Equation of Hydraulics using the formula - Discharge per Unit Width of Aquifer = Cross-Sectional Area*Groundwater Velocity.

What are the other ways to Calculate Discharge per Unit Width of Aquifer?

Here are the different ways to Calculate Discharge per Unit Width of Aquifer-

Discharge per Unit Width of Aquifer=((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Coefficient of Permeability*Aquifer Thickness

Can the Velocity Equation of Hydraulics be negative?

No, the Velocity Equation of Hydraulics, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Velocity Equation of Hydraulics?

Velocity Equation of Hydraulics is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Velocity Equation of Hydraulics can be measured.

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