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Length of Strainer given Discharge Formula

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Strainer Length is measured from bottom of aquifer to top of it. Check FAQs

l st = (\frac{Q \cdot \log ((\frac{R w}{r}), 10)}{2.72 \cdot K WH \cdot S tw}) - (\frac{S tw}{2})

l_st - Strainer Length?Q - Discharge?R_w - Radius of Influence?r - Radius of Well?K_WH - Coefficient of Permeability in Well Hydraulics?S_tw - Total Drawdown in Well?

Length of Strainer given Discharge Example

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Here is how the Length of Strainer given Discharge equation looks like with Values.

Here is how the Length of Strainer given Discharge equation looks like with Units.

Here is how the Length of Strainer given Discharge equation looks like.

10.2071 = (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), 10)}{2.72 \cdot 10 \cdot 4.93}) - (\frac{4.93}{2})

10.2071m = (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), 10)}{2.72 \cdot 10cm/s \cdot 4.93m}) - (\frac{4.93m}{2})

10.2071 = (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), 10)}{2.72 \cdot 10 \cdot 4.93}) - (\frac{4.93}{2})

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Length of Strainer given Discharge Solution

Follow our step by step solution on how to calculate Length of Strainer given Discharge?

FIRST Step Consider the formula

l st = (\frac{Q \cdot \log ((\frac{R w}{r}), 10)}{2.72 \cdot K WH \cdot S tw}) - (\frac{S tw}{2})

Next Step Substitute values of Variables

∴

l st = (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), 10)}{2.72 \cdot 10cm/s \cdot 4.93m}) - (\frac{4.93m}{2})

Next Step Convert Units

∴

l st = (\frac{1.01m³/s \cdot \log ((\frac{8.6m}{7.5m}), 10)}{2.72 \cdot 0.1m/s \cdot 4.93m}) - (\frac{4.93m}{2})

Next Step Prepare to Evaluate

∴

l st = (\frac{1.01 \cdot \log ((\frac{8.6}{7.5}), 10)}{2.72 \cdot 0.1 \cdot 4.93}) - (\frac{4.93}{2})

Next Step Evaluate

∴

l st = 10.2070622298934m

LAST Step Rounding Answer

∴

l st = 10.2071m

Length of Strainer given Discharge Formula Elements

Variables

Functions

Strainer Length

Strainer Length is measured from bottom of aquifer to top of it.

Symbol: l_st

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Strainer Length

Discharge

Discharge is the flow rate of water that is extracted from or injected into a well.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge

Radius of Influence

Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.

Symbol: R_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Influence

Radius of Well

Radius of Well is defined as the distance from center of well to its outer boundary.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Well

Coefficient of Permeability in Well Hydraulics

Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.

Symbol: K_WH

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Permeability in Well Hydraulics

Total Drawdown in Well

Total Drawdown in Well is defined as the reduction in hydraulic head observed at a well in an aquifer, typically due to pumping a well as part of an aquifer test or well test.

Symbol: S_tw

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Total Drawdown in Well

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other formulas in Aquifer Thickness category

Go Thickness of Aquifer given Discharge in Unconfined Aquifer

H = \sqrt{{h w}^{2} + \frac{Q \cdot \log ((\frac{R w}{r}), e)}{π \cdot K WH}}

Go Thickness of Aquifer for Discharge in Unconfined Aquifer with Base 10

b = \sqrt{{h w}^{2} + \frac{Q \cdot \log ((\frac{R w}{r}), 10)}{1.36 \cdot K s}}

Go Thickness of Aquifer given Drawdown Value measured at Well

b = s t + h w

Go Cross-section Area of Soil Mass given Flow Velocity

A xsec = (\frac{V aq}{V f})

How to Evaluate Length of Strainer given Discharge?

Length of Strainer given Discharge evaluator uses Strainer Length = ((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well))-(Total Drawdown in Well/2) to evaluate the Strainer Length, The Length of Strainer given Discharge formula is defined as the value of length of strainer when we have prior information of discharge. Strainer Length is denoted by l_st symbol.

How to evaluate Length of Strainer given Discharge using this online evaluator? To use this online evaluator for Length of Strainer given Discharge, enter Discharge (Q), Radius of Influence (R_w), Radius of Well (r), Coefficient of Permeability in Well Hydraulics (K_WH) & Total Drawdown in Well (S_tw) and hit the calculate button.

FAQs on Length of Strainer given Discharge

What is the formula to find Length of Strainer given Discharge?

The formula of Length of Strainer given Discharge is expressed as Strainer Length = ((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well))-(Total Drawdown in Well/2). Here is an example- 10.20706 = ((1.01*log((8.6/7.5),10))/(2.72*0.1*4.93))-(4.93/2).

How to calculate Length of Strainer given Discharge?

With Discharge (Q), Radius of Influence (R_w), Radius of Well (r), Coefficient of Permeability in Well Hydraulics (K_WH) & Total Drawdown in Well (S_tw) we can find Length of Strainer given Discharge using the formula - Strainer Length = ((Discharge*log((Radius of Influence/Radius of Well),10))/(2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well))-(Total Drawdown in Well/2). This formula also uses Logarithmic Inverse (log) function(s).

Can the Length of Strainer given Discharge be negative?

No, the Length of Strainer given Discharge, measured in Length cannot be negative.

Which unit is used to measure Length of Strainer given Discharge?

Length of Strainer given Discharge is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Strainer given Discharge can be measured.

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Length of Strainer given Discharge Formula

Length of Strainer given Discharge Example

Length of Strainer given Discharge Solution

Length of Strainer given Discharge Formula Elements

Other formulas in Aquifer Thickness category

How to Evaluate Length of Strainer given Discharge?

FAQs on Length of Strainer given Discharge

Variable Name