Outflow at End of Time Interval for Routing of Time-Area Histogram Calculator

✖Coefficient C1 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.ⓘ Coefficient C1 in Muskingum Method of Routing [C₁]			+10% -10%
✖Inflow at the Beginning of Time Interval is the amount of water entering a body of water at the start of the time.ⓘ Inflow at the Beginning of Time Interval [I₁]			+10% -10%
✖Coefficient C2 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.ⓘ Coefficient C2 in Muskingum Method of Routing [C₂]			+10% -10%
✖Outflow at the Beginning of Time Interval is the removal of water from the hydrological cycle at the start of the time.ⓘ Outflow at the Beginning of Time Interval [Q₁]			+10% -10%

✖Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time.ⓘ Outflow at End of Time Interval for Routing of Time-Area Histogram [Q₂]

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Formula

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Outflow at End of Time Interval for Routing of Time-Area Histogram

Formula

`"Q"_{"2"} = 2*"C"_{"1"}*"I"_{"1"}+"C"_{"2"}*"Q"_{"1"}`

Example

`"72.294m³/s"=2*"0.429"*"55m³/s"+"0.523"*"48m³/s"`

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Download Clark's Method and Nash Model for IUH (Instantaneous Unit Hydrograph) Formulas PDF

Outflow at End of Time Interval for Routing of Time-Area Histogram Solution

STEP 0: Pre-Calculation Summary

Formula Used

Outflow at the End of Time Interval = 2*Coefficient C1 in Muskingum Method of Routing*Inflow at the Beginning of Time Interval+Coefficient C2 in Muskingum Method of Routing*Outflow at the Beginning of Time Interval
Q₂ = 2*C₁*I₁+C₂*Q₁
This formula uses 5 Variables

Variables Used

Outflow at the End of Time Interval - (Measured in Cubic Meter per Second) - Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time.
Coefficient C1 in Muskingum Method of Routing - Coefficient C1 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.
Inflow at the Beginning of Time Interval - (Measured in Cubic Meter per Second) - Inflow at the Beginning of Time Interval is the amount of water entering a body of water at the start of the time.
Coefficient C2 in Muskingum Method of Routing - Coefficient C2 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.
Outflow at the Beginning of Time Interval - (Measured in Cubic Meter per Second) - Outflow at the Beginning of Time Interval is the removal of water from the hydrological cycle at the start of the time.

STEP 1: Convert Input(s) to Base Unit

Coefficient C1 in Muskingum Method of Routing: 0.429 --> No Conversion Required
Inflow at the Beginning of Time Interval: 55 Cubic Meter per Second --> 55 Cubic Meter per Second No Conversion Required
Coefficient C2 in Muskingum Method of Routing: 0.523 --> No Conversion Required
Outflow at the Beginning of Time Interval: 48 Cubic Meter per Second --> 48 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q₂ = 2*C₁*I₁+C₂*Q₁ --> 2*0.429*55+0.523*48

Evaluating ... ...

Q₂ = 72.294

STEP 3: Convert Result to Output's Unit

72.294 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

72.294 Cubic Meter per Second <-- Outflow at the End of Time Interval

(Calculation completed in 00.004 seconds)

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< 6 Clark's Method for IUH Calculators

Inflow at Beginning of Time Interval for Routing of Time-Area Histogram

Go Inflow at the Beginning of Time Interval = (Outflow at the End of Time Interval-(Coefficient C2 in Muskingum Method of Routing*Outflow at the Beginning of Time Interval))/(2*Coefficient C1 in Muskingum Method of Routing)

Outflow at Beginning of Time Interval for Routing of Time-Area Histogram

Go Outflow at the Beginning of Time Interval = (Outflow at the End of Time Interval-(2*Coefficient C1 in Muskingum Method of Routing*Inflow at the Beginning of Time Interval))/Coefficient C2 in Muskingum Method of Routing

Outflow at End of Time Interval for Routing of Time-Area Histogram

Go Outflow at the End of Time Interval = 2*Coefficient C1 in Muskingum Method of Routing*Inflow at the Beginning of Time Interval+Coefficient C2 in Muskingum Method of Routing*Outflow at the Beginning of Time Interval

Time Interval at Inter-Isochrone Area given Inflow

Go Time Interval = 2.78*Inter-Isochrone Area/Inflow Rate

Inflow Rate between Inter-Isochrone Area

Go Inflow Rate = 2.78*Inter-Isochrone Area/Time Interval

Inter-Isochrone Area given Inflow

Go Inter-Isochrone Area = Inflow Rate*Time Interval/2.78

Outflow at End of Time Interval for Routing of Time-Area Histogram Formula

What is Routing in Hydrology?

Routing is a technique used to predict the changes in the shape of a hydrograph as water moves through a river channel or a reservoir. In flood forecasting, hydrologists may want to know how a short burst of intense rain in an area upstream of a city will change as it reaches the city.

What is Outflow in Hydrology?

Outflow includes groundwater discharge to surface water bodies, evapotranspiration, pumping, spring flow, discharge through seepage faces along hillslopes, and any other losses of water from the system.

How to Calculate Outflow at End of Time Interval for Routing of Time-Area Histogram?

Outflow at End of Time Interval for Routing of Time-Area Histogram calculator uses Outflow at the End of Time Interval = 2*Coefficient C1 in Muskingum Method of Routing*Inflow at the Beginning of Time Interval+Coefficient C2 in Muskingum Method of Routing*Outflow at the Beginning of Time Interval to calculate the Outflow at the End of Time Interval, The Outflow at End of Time Interval for Routing of Time-Area Histogram formula is defined as groundwater discharge from the aquifer to a stream or other unit. Outflow at the End of Time Interval is denoted by Q₂ symbol.

How to calculate Outflow at End of Time Interval for Routing of Time-Area Histogram using this online calculator? To use this online calculator for Outflow at End of Time Interval for Routing of Time-Area Histogram, enter Coefficient C1 in Muskingum Method of Routing (C₁), Inflow at the Beginning of Time Interval (I₁), Coefficient C2 in Muskingum Method of Routing (C₂) & Outflow at the Beginning of Time Interval (Q₁) and hit the calculate button. Here is how the Outflow at End of Time Interval for Routing of Time-Area Histogram calculation can be explained with given input values -> 56.358 = 2*0.429*55+0.523*48.

FAQ

What is Outflow at End of Time Interval for Routing of Time-Area Histogram?

The Outflow at End of Time Interval for Routing of Time-Area Histogram formula is defined as groundwater discharge from the aquifer to a stream or other unit and is represented as Q₂ = 2*C₁*I₁+C₂*Q₁ or Outflow at the End of Time Interval = 2*Coefficient C1 in Muskingum Method of Routing*Inflow at the Beginning of Time Interval+Coefficient C2 in Muskingum Method of Routing*Outflow at the Beginning of Time Interval. Coefficient C1 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters, Inflow at the Beginning of Time Interval is the amount of water entering a body of water at the start of the time, Coefficient C2 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters & Outflow at the Beginning of Time Interval is the removal of water from the hydrological cycle at the start of the time.

How to calculate Outflow at End of Time Interval for Routing of Time-Area Histogram?

The Outflow at End of Time Interval for Routing of Time-Area Histogram formula is defined as groundwater discharge from the aquifer to a stream or other unit is calculated using Outflow at the End of Time Interval = 2*Coefficient C1 in Muskingum Method of Routing*Inflow at the Beginning of Time Interval+Coefficient C2 in Muskingum Method of Routing*Outflow at the Beginning of Time Interval. To calculate Outflow at End of Time Interval for Routing of Time-Area Histogram, you need Coefficient C1 in Muskingum Method of Routing (C₁), Inflow at the Beginning of Time Interval (I₁), Coefficient C2 in Muskingum Method of Routing (C₂) & Outflow at the Beginning of Time Interval (Q₁). With our tool, you need to enter the respective value for Coefficient C1 in Muskingum Method of Routing, Inflow at the Beginning of Time Interval, Coefficient C2 in Muskingum Method of Routing & Outflow at the Beginning of Time Interval and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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