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Discharge in Well given Constant Depression Head and Area of Well Formula

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GoDischarge in Well under Constant Depression Head Formula

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Discharge in Well is the rate of flow of a liquid in well. Check FAQs

Q = \frac{2.303 \cdot A csw \cdot H' \cdot \log ((\frac{h d}{h w2}), 10)}{t}

Q - Discharge in Well?A_csw - Cross-Sectional Area of Well?H' - Constant Depression Head?h_d - Depression Head?h_w2 - Depression Head in Well 2?t - Time?

Discharge in Well given Constant Depression Head and Area of Well Example

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Here is how the Discharge in Well given Constant Depression Head and Area of Well equation looks like with Values.

Here is how the Discharge in Well given Constant Depression Head and Area of Well equation looks like with Units.

Here is how the Discharge in Well given Constant Depression Head and Area of Well equation looks like.

0.0002 = \frac{2.303 \cdot 13 \cdot 0.038 \cdot \log ((\frac{27}{10}), 10)}{4}

0.0002m³/s = \frac{2.303 \cdot 13m² \cdot 0.038 \cdot \log ((\frac{27m}{10m}), 10)}{4h}

0.0002 = \frac{2.303 \cdot 13 \cdot 0.038 \cdot \log ((\frac{27}{10}), 10)}{4}

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Discharge in Well given Constant Depression Head and Area of Well Solution

Follow our step by step solution on how to calculate Discharge in Well given Constant Depression Head and Area of Well?

FIRST Step Consider the formula

Q = \frac{2.303 \cdot A csw \cdot H' \cdot \log ((\frac{h d}{h w2}), 10)}{t}

Next Step Substitute values of Variables

∴

Q = \frac{2.303 \cdot 13m² \cdot 0.038 \cdot \log ((\frac{27m}{10m}), 10)}{4h}

Next Step Convert Units

∴

Q = \frac{2.303 \cdot 13m² \cdot 0.038 \cdot \log ((\frac{27m}{10m}), 10)}{14400s}

Next Step Prepare to Evaluate

∴

Q = \frac{2.303 \cdot 13 \cdot 0.038 \cdot \log ((\frac{27}{10}), 10)}{14400}

Next Step Evaluate

∴

Q = 0.000183153294293225m³/s

LAST Step Rounding Answer

∴

Q = 0.0002m³/s

Discharge in Well given Constant Depression Head and Area of Well Formula Elements

Variables

Functions

Discharge in Well

Discharge in Well is the rate of flow of a liquid in well.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge in Well

Open Variable

Cross-Sectional Area of Well

Cross-Sectional Area of Well is the the surface area of the interior opening of the well.

Symbol: A_csw

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area of Well

Open Variable

Constant Depression Head

Constant Depression Head is the constant value of head in the well.

Symbol: H'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant Depression Head

Open Variable

Depression Head

Depression Head is the difference of level of waters table and the water level in the well when pumping stopped.

Symbol: h_d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depression Head

Open Variable

Depression Head in Well 2

Depression Head in Well 2 is depression head in the well at a time T after the pumping stopped.

Symbol: h_w2

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depression Head in Well 2

Open Variable

Time

Time refers to the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.

Symbol: t

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Time

Open Variable

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other Formulas to find Discharge in Well

Go Discharge in Well under Constant Depression Head

Q = K \cdot H'

How to Evaluate Discharge in Well given Constant Depression Head and Area of Well?

Discharge in Well given Constant Depression Head and Area of Well evaluator uses Discharge in Well = (2.303*Cross-Sectional Area of Well*Constant Depression Head*log((Depression Head/Depression Head in Well 2),10))/Time to evaluate the Discharge in Well, The Discharge in Well given Constant Depression Head and Area of Well formula is defined as the calculation of the value of discharge from well when we have prior information of other parameters used. Discharge in Well is denoted by Q symbol.

How to evaluate Discharge in Well given Constant Depression Head and Area of Well using this online evaluator? To use this online evaluator for Discharge in Well given Constant Depression Head and Area of Well, enter Cross-Sectional Area of Well (A_csw), Constant Depression Head (H'), Depression Head (h_d), Depression Head in Well 2 (h_w2) & Time (t) and hit the calculate button.

FAQs on Discharge in Well given Constant Depression Head and Area of Well

What is the formula to find Discharge in Well given Constant Depression Head and Area of Well?

The formula of Discharge in Well given Constant Depression Head and Area of Well is expressed as Discharge in Well = (2.303*Cross-Sectional Area of Well*Constant Depression Head*log((Depression Head/Depression Head in Well 2),10))/Time. Here is an example- 0.000183 = (2.303*13*0.038*log((27/10),10))/14400.

How to calculate Discharge in Well given Constant Depression Head and Area of Well?

With Cross-Sectional Area of Well (A_csw), Constant Depression Head (H'), Depression Head (h_d), Depression Head in Well 2 (h_w2) & Time (t) we can find Discharge in Well given Constant Depression Head and Area of Well using the formula - Discharge in Well = (2.303*Cross-Sectional Area of Well*Constant Depression Head*log((Depression Head/Depression Head in Well 2),10))/Time. This formula also uses Logarithmic Inverse (log) function(s).

What are the other ways to Calculate Discharge in Well?

Here are the different ways to Calculate Discharge in Well-

Discharge in Well=Constant*Constant Depression Head

Can the Discharge in Well given Constant Depression Head and Area of Well be negative?

Yes, the Discharge in Well given Constant Depression Head and Area of Well, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge in Well given Constant Depression Head and Area of Well?

Discharge in Well given Constant Depression Head and Area of Well 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 in Well given Constant Depression Head and Area of Well can be measured.

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