Velocity Equation of Hydraulics Calculator

✖The Cross-Sectional Area is referred as product of width multiplied by average water depth.ⓘ Cross-Sectional Area [A]			+10% -10%
✖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.ⓘ Groundwater Velocity [v]			+10% -10%

✖The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered.ⓘ Velocity Equation of Hydraulics [q]

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Formula

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Velocity Equation of Hydraulics

Formula

q = A \cdot v

Example

30 m³/s = 100 m² \cdot 0.3 m/s

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Velocity Equation of Hydraulics Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge per Unit Width of Aquifer = Cross-Sectional Area*Groundwater Velocity
q = A*v
This formula uses 3 Variables

Variables Used

Discharge per Unit Width of Aquifer - (Measured in Cubic Meter per Second) - The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered.
Cross-Sectional Area - (Measured in Square Meter) - The Cross-Sectional Area is referred as product of width multiplied by average water depth.
Groundwater Velocity - (Measured in Meter per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Cross-Sectional Area: 100 Square Meter --> 100 Square Meter No Conversion Required
Groundwater Velocity: 0.3 Meter per Second --> 0.3 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = A*v --> 100*0.3

Evaluating ... ...

q = 30

STEP 3: Convert Result to Output's Unit

30 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

30 Cubic Meter per Second <-- Discharge per Unit Width of Aquifer

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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NSS College of Engineering (NSSCE), Palakkad

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< Confined Groundwater Flow between Water Bodies Calculators

Coefficient of Permeability when Discharge is Considered

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

Aquifer Thickness when Discharge is Considered

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

Discharge per unit width of aquifers

Go 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

Equation of Hydraulic Grade Line in Confined Groundwater Flow

Go Piezometric Head = Piezometric Head at Upstream End-((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Flow in 'x' Direction

Velocity Equation of Hydraulics Formula

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

What is the importance of Groundwater Velocity?

The rate of movement of ground water is important in many problems, particularly those related to pollution . For example, if a harmful substance is introduced into an aquifer upgradient from a supply well, it becomes a matter of great urgency to estimate when the substance will reach the well.

How to Calculate Velocity Equation of Hydraulics?

Velocity Equation of Hydraulics calculator uses Discharge per Unit Width of Aquifer = Cross-Sectional Area*Groundwater Velocity to calculate 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 calculate Velocity Equation of Hydraulics using this online calculator? To use this online calculator for Velocity Equation of Hydraulics, enter Cross-Sectional Area (A) & Groundwater Velocity (v) and hit the calculate button. Here is how the Velocity Equation of Hydraulics calculation can be explained with given input values -> 30 = 100*0.3.

FAQ

What is Velocity Equation of Hydraulics?

Velocity Equation of Hydraulics formula is defined as the product of cross-sectional area and groundwater velocity and is represented as q = A*v or Discharge per Unit Width of Aquifer = Cross-Sectional Area*Groundwater Velocity. The Cross-Sectional Area is referred as product of width multiplied by average water depth & 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.

How to calculate Velocity Equation of Hydraulics?

Velocity Equation of Hydraulics formula is defined as the product of cross-sectional area and groundwater velocity is calculated using Discharge per Unit Width of Aquifer = Cross-Sectional Area*Groundwater Velocity. To calculate Velocity Equation of Hydraulics, you need Cross-Sectional Area (A) & Groundwater Velocity (v). With our tool, you need to enter the respective value for Cross-Sectional Area & Groundwater Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Discharge per Unit Width of Aquifer?

In this formula, Discharge per Unit Width of Aquifer uses Cross-Sectional Area & Groundwater Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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