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

✖Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time.ⓘ Outflow at the End of Time Interval [Q₂]			+10% -10%
✖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 Beginning of Time Interval for Routing of Time-Area Histogram [Q₁]

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Formula

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

Formula

`"Q"_{"1"} = ("Q"_{"2"}-(2*"C"_{"1"}*"I"_{"1"}))/"C"_{"2"}`

Example

`"32.14149m³/s"=("64m³/s"-(2*"0.429"*"55m³/s"))/"0.523"`

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

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

STEP 0: Pre-Calculation Summary

Formula Used

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
Q₁ = (Q₂-(2*C₁*I₁))/C₂
This formula uses 5 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Outflow at the End of Time Interval: 64 Cubic Meter per Second --> 64 Cubic Meter per Second No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q₁ = (Q₂-(2*C₁*I₁))/C₂ --> (64-(2*0.429*55))/0.523

Evaluating ... ...

Q₁ = 32.1414913957935

STEP 3: Convert Result to Output's Unit

32.1414913957935 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

32.1414913957935 ≈ 32.14149 Cubic Meter per Second <-- Outflow at the Beginning 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 Beginning 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 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.

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

Outflow at Beginning of Time Interval for Routing of Time-Area Histogram calculator uses 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 to calculate the Outflow at the Beginning of Time Interval, The Outflow at Beginning of Time Interval for Routing of Time-Area Histogram formula is defined as the 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. Outflow at the Beginning of Time Interval is denoted by Q₁ symbol.

How to calculate Outflow at Beginning of Time Interval for Routing of Time-Area Histogram using this online calculator? To use this online calculator for Outflow at Beginning of Time Interval for Routing of Time-Area Histogram, enter Outflow at the End of Time Interval (Q₂), Coefficient C1 in Muskingum Method of Routing (C₁), Inflow at the Beginning of Time Interval (I₁) & Coefficient C2 in Muskingum Method of Routing (C₂) and hit the calculate button. Here is how the Outflow at Beginning of Time Interval for Routing of Time-Area Histogram calculation can be explained with given input values -> 88.01047 = (64-(2*0.429*55))/0.523.

FAQ

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

The Outflow at Beginning of Time Interval for Routing of Time-Area Histogram formula is defined as the 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 and is represented as Q₁ = (Q₂-(2*C₁*I₁))/C₂ or 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 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, 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.

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

The Outflow at Beginning of Time Interval for Routing of Time-Area Histogram formula is defined as the 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 is calculated using 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. To calculate Outflow at Beginning of Time Interval for Routing of Time-Area Histogram, you need Outflow at the End of Time Interval (Q₂), Coefficient C1 in Muskingum Method of Routing (C₁), Inflow at the Beginning of Time Interval (I₁) & Coefficient C2 in Muskingum Method of Routing (C₂). With our tool, you need to enter the respective value for Outflow at the End of Time Interval, Coefficient C1 in Muskingum Method of Routing, Inflow at the Beginning of Time Interval & Coefficient C2 in Muskingum Method of Routing 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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