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) - Discharge per unit width of aquifer is the rate of total discharge in the channel to the width considered.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the product of width multiplied by average water depth.
Groundwater Velocity - (Measured in Meter per Second) - Groundwater Velocity is the rate of movement of ground water.
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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7 Confined Groundwater Flow between Water Bodies Calculators

Length when Discharge per Unit Width of Aquifer is Considered
Go Length between upstream and downstream = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Discharge per unit width of aquifer)*Coefficient of Permeability*Aquifer Thickness
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
Rate of movement through aquifer and confining bed
Go Groundwater Velocity = (Hydraulic Conductivity/Porosity of soil)*Hydraulic Gradient
Velocity Equation of Hydraulics
Go Discharge per unit width of aquifer = Cross-Sectional Area*Groundwater Velocity

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 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 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. Cross-Sectional Area is the product of width multiplied by average water depth & Groundwater Velocity is the rate of movement of ground water.
How to calculate Velocity Equation of Hydraulics?
Velocity Equation of Hydraulics 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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