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

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

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

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

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

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

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

45.3333 = \frac{64 - (0.523 \cdot 48)}{2 \cdot 0.429}

45.3333m³/s = \frac{64m³/s - (0.523 \cdot 48m³/s)}{2 \cdot 0.429}

45.3333 = \frac{64 - (0.523 \cdot 48)}{2 \cdot 0.429}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I 1 = \frac{64m³/s - (0.523 \cdot 48m³/s)}{2 \cdot 0.429}

Next Step Prepare to Evaluate

∴

I 1 = \frac{64 - (0.523 \cdot 48)}{2 \cdot 0.429}

Next Step Evaluate

∴

I 1 = 45.3333333333333m³/s

LAST Step Rounding Answer

∴

I 1 = 45.3333m³/s

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

Variables

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

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 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

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

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

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

Inflow at Beginning of Time Interval for Routing of Time-Area Histogram evaluator uses 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) to evaluate the Inflow at the Beginning of Time Interval, The Inflow at Beginning of Time Interval for Routing of Time-Area Histogram formula is defined as the source of the water within the body of water. It can also refer to the average volume of incoming water in unit time. Inflow at the Beginning of Time Interval is denoted by I₁ symbol.

How to evaluate Inflow at Beginning of Time Interval for Routing of Time-Area Histogram using this online evaluator? To use this online evaluator for Inflow at Beginning of Time Interval for Routing of Time-Area Histogram, enter Outflow at the End of Time Interval (Q₂), Coefficient C2 in Muskingum Method of Routing (C₂), Outflow at the Beginning of Time Interval (Q₁) & Coefficient C1 in Muskingum Method of Routing (C₁) and hit the calculate button.

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

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

The formula of Inflow at Beginning of Time Interval for Routing of Time-Area Histogram is expressed as 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). Here is an example- 63.90676 = (64-(0.523*48))/(2*0.429).

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

With Outflow at the End of Time Interval (Q₂), Coefficient C2 in Muskingum Method of Routing (C₂), Outflow at the Beginning of Time Interval (Q₁) & Coefficient C1 in Muskingum Method of Routing (C₁) we can find Inflow at Beginning of Time Interval for Routing of Time-Area Histogram using the formula - 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).

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

No, the Inflow 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 Inflow at Beginning of Time Interval for Routing of Time-Area Histogram?

Inflow 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 Inflow at Beginning of Time Interval for Routing of Time-Area Histogram can be measured.

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

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

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

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

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

Variable Name