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

✖Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area [A_cs]			+10% -10%
✖Constant depression head in the well.ⓘ Constant Depression Head [H]			+10% -10%
✖Depression Head 1 is the difference of level of waters table and the water level in the well when pumping stopped.ⓘ Depression Head 1 [h₁]			+10% -10%
✖Depression Head 2 is the difference of level of waters table and the water level in the well when pumping stopped.ⓘ Depression Head 2 [h₂]			+10% -10%
✖Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.ⓘ Time [t]			+10% -10%

✖Discharge is the rate of flow of a liquid.ⓘ Discharge in Well given Constant Depression Head and Area of Well [Q]

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Formula

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Discharge in Well given Constant Depression Head and Area of Well

Formula

`"Q" = (2.303*"A"_{"cs"}*"H"*log(("h"_{"1"}/"h"_{"2"}),10))/"t"`

Example

`"0.000183m³/s"=(2.303*"13m²"*"0.038"*log(("27m"/"10m"),10))/"4h"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Discharge = (2.303*Cross-Sectional Area*Constant Depression Head*log((Depression Head 1/Depression Head 2),10))/Time
Q = (2.303*A_cs*H*log((h₁/h₂),10))/t
This formula uses 1 Functions, 6 Variables

Functions Used

log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Constant Depression Head - Constant depression head in the well.
Depression Head 1 - (Measured in Meter) - Depression Head 1 is the difference of level of waters table and the water level in the well when pumping stopped.
Depression Head 2 - (Measured in Meter) - Depression Head 2 is the difference of level of waters table and the water level in the well when pumping stopped.
Time - (Measured in Second) - Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.

STEP 1: Convert Input(s) to Base Unit

Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Constant Depression Head: 0.038 --> No Conversion Required
Depression Head 1: 27 Meter --> 27 Meter No Conversion Required
Depression Head 2: 10 Meter --> 10 Meter No Conversion Required
Time: 4 Hour --> 14400 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = (2.303*A_cs*H*log((h₁/h₂),10))/t --> (2.303*13*0.038*log((27/10),10))/14400

Evaluating ... ...

Q = 0.000183153294293225

STEP 3: Convert Result to Output's Unit

0.000183153294293225 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.000183153294293225 ≈ 0.000183 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 2 Discharge in Well Calculators

Discharge in Well given Constant Depression Head and Area of Well

Go Discharge = (2.303*Cross-Sectional Area*Constant Depression Head*log((Depression Head 1/Depression Head 2),10))/Time

Discharge in Well under Constant Depression Head

Go Discharge = Constant*Constant Depression Head

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

Discharge = (2.303*Cross-Sectional Area*Constant Depression Head*log((Depression Head 1/Depression Head 2),10))/Time
Q = (2.303*A_cs*H*log((h₁/h₂),10))/t

What is discharge ?

The amount of fluid passing a section of a stream in unit time is called the discharge. If v is the mean velocity and A is the cross sectional area, the discharge Q is defined by Q = Av which is known as volume flow rate.

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

Discharge in Well given Constant Depression Head and Area of Well calculator uses Discharge = (2.303*Cross-Sectional Area*Constant Depression Head*log((Depression Head 1/Depression Head 2),10))/Time to calculate the Discharge, Discharge in Well given Constant Depression Head and Area of Well calculates value of discharge from well when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to calculate Discharge in Well given Constant Depression Head and Area of Well using this online calculator? To use this online calculator for Discharge in Well given Constant Depression Head and Area of Well, enter Cross-Sectional Area (A_cs), Constant Depression Head (H), Depression Head 1 (h₁), Depression Head 2 (h₂) & Time (t) and hit the calculate button. Here is how the Discharge in Well given Constant Depression Head and Area of Well calculation can be explained with given input values -> 0.000183 = (2.303*13*0.038*log((27/10),10))/14400.

FAQ

What is Discharge in Well given Constant Depression Head and Area of Well?

Discharge in Well given Constant Depression Head and Area of Well calculates value of discharge from well when we have prior information of other parameters used and is represented as Q = (2.303*A_cs*H*log((h₁/h₂),10))/t or Discharge = (2.303*Cross-Sectional Area*Constant Depression Head*log((Depression Head 1/Depression Head 2),10))/Time. Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point, Constant depression head in the well, Depression Head 1 is the difference of level of waters table and the water level in the well when pumping stopped, Depression Head 2 is the difference of level of waters table and the water level in the well when pumping stopped & Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.

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

Discharge in Well given Constant Depression Head and Area of Well calculates value of discharge from well when we have prior information of other parameters used is calculated using Discharge = (2.303*Cross-Sectional Area*Constant Depression Head*log((Depression Head 1/Depression Head 2),10))/Time. To calculate Discharge in Well given Constant Depression Head and Area of Well, you need Cross-Sectional Area (A_cs), Constant Depression Head (H), Depression Head 1 (h₁), Depression Head 2 (h₂) & Time (t). With our tool, you need to enter the respective value for Cross-Sectional Area, Constant Depression Head, Depression Head 1, Depression Head 2 & Time 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?

In this formula, Discharge uses Cross-Sectional Area, Constant Depression Head, Depression Head 1, Depression Head 2 & Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

Discharge = Constant*Constant Depression Head

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