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

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Outflow at the Beginning of Time Interval is the removal of water from the hydrological cycle at the start of the time. Check FAQs

Q 1 = \frac{Q 2 - (2 \cdot C 1 \cdot I 1)}{C 2}

Q₁ - Outflow at the Beginning of Time Interval?Q₂ - Outflow at the End of Time Interval?C₁ - Coefficient C1 in Muskingum Method of Routing?I₁ - Inflow at the Beginning of Time Interval?C₂ - Coefficient C2 in Muskingum Method of Routing?

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

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Here is how the Outflow at Beginning of Time Interval for Routing of Time-Area Histogram equation looks like with Values.

Here is how the Outflow at Beginning of Time Interval for Routing of Time-Area Histogram equation looks like with Units.

Here is how the Outflow at Beginning of Time Interval for Routing of Time-Area Histogram equation looks like.

32.1415 = \frac{64 - (2 \cdot 0.429 \cdot 55)}{0.523}

32.1415m³/s = \frac{64m³/s - (2 \cdot 0.429 \cdot 55m³/s)}{0.523}

32.1415 = \frac{64 - (2 \cdot 0.429 \cdot 55)}{0.523}

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

Follow our step by step solution on how to calculate Outflow at Beginning of Time Interval for Routing of Time-Area Histogram?

FIRST Step Consider the formula

Q 1 = \frac{Q 2 - (2 \cdot C 1 \cdot I 1)}{C 2}

Next Step Substitute values of Variables

∴

Q 1 = \frac{64m³/s - (2 \cdot 0.429 \cdot 55m³/s)}{0.523}

Next Step Prepare to Evaluate

∴

Q 1 = \frac{64 - (2 \cdot 0.429 \cdot 55)}{0.523}

Next Step Evaluate

∴

Q 1 = 32.1414913957935m³/s

LAST Step Rounding Answer

∴

Q 1 = 32.1415m³/s

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

Variables

Outflow at the Beginning of Time Interval

Outflow at the Beginning of Time Interval is the removal of water from the hydrological cycle at the start of the time.

Symbol: Q₁

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Outflow at the Beginning of Time Interval

Outflow at the End of Time Interval

Outflow at the End of Time Interval is the removal of water from the hydrological cycle at the end of the time.

Symbol: Q₂

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Outflow at the End of Time Interval

Coefficient C1 in Muskingum Method of Routing

Coefficient C1 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.

Symbol: C₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient C1 in Muskingum Method of Routing

Inflow at the Beginning of Time Interval

Inflow at the Beginning of Time Interval is the amount of water entering a body of water at the start of the time.

Symbol: I₁

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Inflow at the Beginning of Time Interval

Coefficient C2 in Muskingum Method of Routing

Coefficient C2 in Muskingum Method of Routing, a hydrological flow routing model with lumped parameters.

Symbol: C₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient C2 in Muskingum Method of Routing

Other formulas in Clark's Method for IUH category

Go Inflow Rate between Inter-Isochrone Area

I = 2.78 \cdot \frac{A r}{Δt}

Go Inter-Isochrone Area given Inflow

A r = I \cdot \frac{Δt}{2.78}

Go Time Interval at Inter-Isochrone Area given Inflow

Δt = 2.78 \cdot \frac{A r}{I}

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

Q 2 = 2 \cdot C 1 \cdot I 1 + C 2 \cdot Q 1

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

Outflow at Beginning of Time Interval for Routing of Time-Area Histogram evaluator 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 evaluate 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 evaluate Outflow at Beginning of Time Interval for Routing of Time-Area Histogram using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Outflow at Beginning of Time Interval for Routing of Time-Area Histogram?

The formula of Outflow at Beginning of Time Interval for Routing of Time-Area Histogram is expressed as 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. Here is an example- 88.01047 = (64-(2*0.429*55))/0.523.

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

With 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) we can find Outflow at Beginning of Time Interval for Routing of Time-Area Histogram using the formula - 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.

Can the Outflow at Beginning of Time Interval for Routing of Time-Area Histogram be negative?

No, the Outflow at Beginning of Time Interval for Routing of Time-Area Histogram, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Outflow at Beginning of Time Interval for Routing of Time-Area Histogram?

Outflow at Beginning of Time Interval for Routing of Time-Area Histogram is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Outflow at Beginning of Time Interval for Routing of Time-Area Histogram can be measured.

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

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

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

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

Other formulas in Clark's Method for IUH category

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

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

Variable Name