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Hydraulic Gradient Given Velocity Calculator

Hydraulic Gradient Formula:

\[ H = \frac{V_{mean}}{k} \]

m/s
m/s

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1. What is Hydraulic Gradient?

The Hydraulic Gradient refers to the change in water level per unit distance along the direction of maximum head decrease. It is a fundamental concept in groundwater flow and soil mechanics.

2. How Does the Calculator Work?

The calculator uses the Hydraulic Gradient formula:

\[ H = \frac{V_{mean}}{k} \]

Where:

Explanation: The hydraulic gradient represents the driving force for groundwater flow, calculated as the ratio of mean flow velocity to the permeability coefficient of the porous medium.

3. Importance of Hydraulic Gradient Calculation

Details: Accurate hydraulic gradient calculation is crucial for analyzing groundwater flow patterns, designing drainage systems, assessing seepage through dams and levees, and evaluating contaminant transport in aquifers.

4. Using the Calculator

Tips: Enter mean velocity in m/s and coefficient of permeability in m/s. Both values must be positive numbers greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of hydraulic gradient?
A: Hydraulic gradient represents the slope of the hydraulic head and indicates the direction and magnitude of groundwater flow.

Q2: What are typical values for hydraulic gradient?
A: Hydraulic gradients typically range from 0.001 to 0.01 in natural groundwater systems, but can be higher in engineered systems or steep terrain.

Q3: How does hydraulic gradient relate to Darcy's Law?
A: In Darcy's Law, the hydraulic gradient is the driving force that causes water to flow through porous media, with flow rate proportional to the gradient.

Q4: Can hydraulic gradient be negative?
A: While mathematically possible, negative hydraulic gradient typically indicates flow in the opposite direction of the defined coordinate system.

Q5: What factors affect the coefficient of permeability?
A: Permeability depends on soil/rock properties including grain size distribution, porosity, particle shape, and degree of saturation.

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