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Discharge about straight-line slope Formula

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The Discharge refers to the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material. Check FAQs

Q = 4 \cdot π \cdot T \cdot \frac{m}{2.302}

Q - Discharge?T - Transmissibility?m - Slope?π - Archimedes' constant?

Discharge about straight-line slope Example

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Here is how the Discharge about straight-line slope equation looks like with Values.

Here is how the Discharge about straight-line slope equation looks like with Units.

Here is how the Discharge about straight-line slope equation looks like.

2.9997 = 4 \cdot 3.1416 \cdot 3.5 \cdot \frac{0.157}{2.302}

2.9997m³/s = 4 \cdot 3.1416 \cdot 3.5m²/s \cdot \frac{0.157}{2.302}

2.9997 = 4 \cdot 3.1416 \cdot 3.5 \cdot \frac{0.157}{2.302}

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Discharge about straight-line slope Solution

Follow our step by step solution on how to calculate Discharge about straight-line slope?

FIRST Step Consider the formula

Q = 4 \cdot π \cdot T \cdot \frac{m}{2.302}

Next Step Substitute values of Variables

∴

Q = 4 \cdot π \cdot 3.5m²/s \cdot \frac{0.157}{2.302}

Next Step Substitute values of Constants

∴

Q = 4 \cdot 3.1416 \cdot 3.5m²/s \cdot \frac{0.157}{2.302}

Next Step Prepare to Evaluate

∴

Q = 4 \cdot 3.1416 \cdot 3.5 \cdot \frac{0.157}{2.302}

Next Step Evaluate

∴

Q = 2.99966144769347m³/s

LAST Step Rounding Answer

∴

Q = 2.9997m³/s

Discharge about straight-line slope Formula Elements

Variables

Constants

Discharge

The Discharge refers to the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge

Transmissibility

Transmissibility is most simply defined as the effective hydraulic conductivity of an aquifer or other water-bearing unit multiplied by the thickness of that unit.

Symbol: T

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Transmissibility

Slope

Slope represents a straight line when plot of residual drawdown s' vs t/t' on semi-log paper.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slope

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Recovery of Piezometric Head category

Go Equation for Residual Drawdown

s' = (\frac{Q}{4} \cdot π \cdot T) \cdot (W u - Wu')

Go Equation for Residual Drawdown for small values of Distance and large values of Time

s' = (2.302 \cdot \frac{Q}{4} \cdot π \cdot T) \cdot \log 10 (\frac{t}{t'})

Go Equation for Slope of Line

m = 2.302 \cdot \frac{Q}{4 \cdot π \cdot T}

Go Transmissibility about straight-line slope

T = 2.302 \cdot \frac{Q}{4 \cdot π \cdot m}

How to Evaluate Discharge about straight-line slope?

Discharge about straight-line slope evaluator uses Discharge = 4*pi*Transmissibility*Slope/2.302 to evaluate the Discharge, The Discharge about straight-line slope is defined as the volumetric flow rate of water that is transported through a given cross-sectional area. Discharge is denoted by Q symbol.

How to evaluate Discharge about straight-line slope using this online evaluator? To use this online evaluator for Discharge about straight-line slope, enter Transmissibility (T) & Slope (m) and hit the calculate button.

FAQs on Discharge about straight-line slope

What is the formula to find Discharge about straight-line slope?

The formula of Discharge about straight-line slope is expressed as Discharge = 4*pi*Transmissibility*Slope/2.302. Here is an example- 2.999661 = 4*pi*3.5*0.157/2.302.

How to calculate Discharge about straight-line slope?

With Transmissibility (T) & Slope (m) we can find Discharge about straight-line slope using the formula - Discharge = 4*pi*Transmissibility*Slope/2.302. This formula also uses Archimedes' constant .

Can the Discharge about straight-line slope be negative?

No, the Discharge about straight-line slope, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge about straight-line slope?

Discharge about straight-line slope 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 Discharge about straight-line slope can be measured.

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