Continuity equation for water balance Calculator

✖Outflow Rate for a given catchment area in any interval of time.ⓘ Outflow Rate [Q]			+10% -10%
✖Mass Outflow for a given catchment area in any interval of time.ⓘ Mass Outflow [V_o]			+10% -10%

✖Change in Mass Storage for a given catchment area in any interval of time.ⓘ Continuity equation for water balance [Δs]

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Continuity equation for water balance

Formula

`"Δs" = "Q"-"V"_{"o"}`

Example

`"5m"="30m³/s"-"25m³"`

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Continuity equation for water balance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Mass Storage = Outflow Rate-Mass Outflow
Δs = Q-V_o
This formula uses 3 Variables

Variables Used

Change in Mass Storage - (Measured in Meter) - Change in Mass Storage for a given catchment area in any interval of time.
Outflow Rate - (Measured in Cubic Meter per Second) - Outflow Rate for a given catchment area in any interval of time.
Mass Outflow - (Measured in Cubic Meter) - Mass Outflow for a given catchment area in any interval of time.

STEP 1: Convert Input(s) to Base Unit

Outflow Rate: 30 Cubic Meter per Second --> 30 Cubic Meter per Second No Conversion Required
Mass Outflow: 25 Cubic Meter --> 25 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δs = Q-V_o --> 30-25

Evaluating ... ...

Δs = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- Change in Mass Storage

(Calculation completed in 00.004 seconds)

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< 15 Water budget equation for a catchment Calculators

Daily Precipitation from Water Budget Continuity Equation

Go Precipitation = Daily Surface Outflow+Daily Seepage Outflow+Daily Lake Evaporation+Increase in Lake Storage in a Day+Daily Transpiration Loss-Daily Surface Inflow-Daily Groundwater Inflow

Mean annual flood proposed by natural environment research council

Go Mean Annual Flood = Constant C*Area^(0.94)*Stream Frequency^(0.27)*Slope of the Catchment^(0.16)*Soil Type Index^(1.23)*RSMD^(1.03)*(1+Area of Lakes or Reservoirs)^-0.85

Water Budget Equation for Catchment given Time Interval

Go Change in Mass Storage = Precipitation-Surface Runoff-Net Ground Water Flowing Outside Catchment-Evaporation from Water Body-Transpiration

Change in Storage of Water in Catchment

Go Change in Storage Volumes = Change in Groundwater Storage+Change in Soil Moisture Storage+Change in Groundwater Storage

Surface water storage given Storage of water in catchment

Go Change in Surface Water Storage = Storage of Water-Change in Soil Moisture Storage-Change in Groundwater Storage

Ground Water Storage given Storage of water in catchment

Go Change in Groundwater Storage = Storage of Water-Change in Surface Water Storage-Change in Soil Moisture Storage

Soil Moisture Storage given Storage of water

Go Change in Soil Moisture Storage = Storage of Water-Change in Surface Water Storage-Change in Groundwater Storage

Storage of Water in Catchment

Go Storage of Water = Change in Surface Water Storage+Change in Soil Moisture Storage+Change in Groundwater Storage

Mass outflow given Change in mass storage

Go Mass Outflow = Outflow Rate-Change in Mass Storage

Mass in flow given Change in mass storage

Go Outflow Rate = Change in Mass Storage+Mass Outflow

Continuity equation for water balance

Go Change in Mass Storage = Outflow Rate-Mass Outflow

Catchment Area given Peak Discharge in Jarvis formula

Go Catchment Area = (Peak Discharge/Coefficient)^2

Precipitation in Rainfall runoff relationship

Go Precipitation = Surface Runoff+Runoff Losses

Runoff losses in rainfall runoff relationship

Go Runoff Losses = Precipitation-Surface Runoff

Rainfall runoff relationship

Go Surface Runoff = Precipitation-Runoff Losses

Continuity equation for water balance Formula

Change in Mass Storage = Outflow Rate-Mass Outflow
Δs = Q-V_o

What is a Water Balance Equation?

A Water Balance Equation can be used to describe the flow of water in and out of a system. A system can be one of several hydrological domains, such as a column of soil or a drainage basin.

How to Calculate Continuity equation for water balance?

Continuity equation for water balance calculator uses Change in Mass Storage = Outflow Rate-Mass Outflow to calculate the Change in Mass Storage, The Continuity equation for water balance is defined for a given catchment area in any interval of time. Change in Mass Storage is denoted by Δs symbol.

How to calculate Continuity equation for water balance using this online calculator? To use this online calculator for Continuity equation for water balance, enter Outflow Rate (Q) & Mass Outflow (V_o) and hit the calculate button. Here is how the Continuity equation for water balance calculation can be explained with given input values -> 5 = 30-25.

FAQ

What is Continuity equation for water balance?

The Continuity equation for water balance is defined for a given catchment area in any interval of time and is represented as Δs = Q-V_o or Change in Mass Storage = Outflow Rate-Mass Outflow. Outflow Rate for a given catchment area in any interval of time & Mass Outflow for a given catchment area in any interval of time.

How to calculate Continuity equation for water balance?

The Continuity equation for water balance is defined for a given catchment area in any interval of time is calculated using Change in Mass Storage = Outflow Rate-Mass Outflow. To calculate Continuity equation for water balance, you need Outflow Rate (Q) & Mass Outflow (V_o). With our tool, you need to enter the respective value for Outflow Rate & Mass Outflow 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 Change in Mass Storage?

In this formula, Change in Mass Storage uses Outflow Rate & Mass Outflow. We can use 1 other way(s) to calculate the same, which is/are as follows -

Change in Mass Storage = Precipitation-Surface Runoff-Net Ground Water Flowing Outside Catchment-Evaporation from Water Body-Transpiration

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