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Total Wedge Storage in Channel Reach Formula

GoEquation for Linear Storage or Linear Reservoir Formula

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Total Storage in Channel Reach is a section of stream or river along which similar hydrologic conditions exist, such as discharge, depth, area, and slope. Check FAQs

S = K \cdot (x \cdot I^{m} + (1 - x) \cdot Q^{m})

S - Total Storage in Channel Reach?K - Constant K?x - Coefficient x in the Equation?I - Inflow Rate?m - A Constant Exponent?Q - Outflow Rate?

Total Wedge Storage in Channel Reach Example

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Here is how the Total Wedge Storage in Channel Reach equation looks like with Values.

Here is how the Total Wedge Storage in Channel Reach equation looks like with Units.

Here is how the Total Wedge Storage in Channel Reach equation looks like.

99.1175 = 4 \cdot (1.8 \cdot 28^{0.94} + (1 - 1.8) \cdot 25^{0.94})

99.1175m³ = 4 \cdot (1.8 \cdot {28m³/s}^{0.94} + (1 - 1.8) \cdot {25m³/s}^{0.94})

99.1175 = 4 \cdot (1.8 \cdot 28^{0.94} + (1 - 1.8) \cdot 25^{0.94})

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Total Wedge Storage in Channel Reach Solution

Follow our step by step solution on how to calculate Total Wedge Storage in Channel Reach?

FIRST Step Consider the formula

S = K \cdot (x \cdot I^{m} + (1 - x) \cdot Q^{m})

Next Step Substitute values of Variables

∴

S = 4 \cdot (1.8 \cdot {28m³/s}^{0.94} + (1 - 1.8) \cdot {25m³/s}^{0.94})

Next Step Prepare to Evaluate

∴

S = 4 \cdot (1.8 \cdot 28^{0.94} + (1 - 1.8) \cdot 25^{0.94})

Next Step Evaluate

∴

S = 99.1174836121596m³

LAST Step Rounding Answer

∴

S = 99.1175m³

Total Wedge Storage in Channel Reach Formula Elements

Variables

Total Storage in Channel Reach

Total Storage in Channel Reach is a section of stream or river along which similar hydrologic conditions exist, such as discharge, depth, area, and slope.

Symbol: S

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Total Storage in Channel Reach

Constant K

Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant K

Coefficient x in the Equation

Coefficient x in the Equation of maximum intensity of rainfall in general form in the Muskingum Equation is known as the weighing factor.

Symbol: x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient x in the Equation

Inflow Rate

Inflow Rate for a given catchment area is the average volume of incoming water in unit time at any interval of time of the day.

Symbol: I

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Inflow Rate

A Constant Exponent

A Constant Exponent varies from 0.6 for rectangular channels to a value of 1.0 for natural channels.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be between 0.6 to 1.

Formulas to find A Constant Exponent

Outflow Rate

Outflow Rate for a given catchment area in any interval of time is the average volume of outgoing water in unit time.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Outflow Rate

Other Formulas to find Total Storage in Channel Reach

Go Equation for Linear Storage or Linear Reservoir

S = K \cdot Q

Other formulas in Hydrologic Channel Routing category

Go Outflow given Linear Storage

Q = \frac{S}{K}

Go Storage in Beginning of Time Interval

S 1 = S 2 - (K \cdot (x \cdot (I 2 - I 1) + (1 - x) \cdot (Q 2 - Q 1)))

Go Storage during end of time interval in Muskingum method of Routing

S 2 = K \cdot (x \cdot (I 2 - I 1) + (1 - x) \cdot (Q 2 - Q 1)) + S 1

Go Storage during Beginning of Time Interval for Continuity Equation of Reach

S 1 = S 2 + (\frac{Q 2 + Q 1}{2}) \cdot Δt - (\frac{I 2 + I 1}{2}) \cdot Δt

How to Evaluate Total Wedge Storage in Channel Reach?

Total Wedge Storage in Channel Reach evaluator uses Total Storage in Channel Reach = Constant K*(Coefficient x in the Equation*Inflow Rate^A Constant Exponent+(1-Coefficient x in the Equation)*Outflow Rate^A Constant Exponent) to evaluate the Total Storage in Channel Reach, The Total Wedge Storage in Channel Reach formula is defined as the wedge-like volume formed between the actual water surface profile and the top surface of the prism storage. Total Storage in Channel Reach is denoted by S symbol.

How to evaluate Total Wedge Storage in Channel Reach using this online evaluator? To use this online evaluator for Total Wedge Storage in Channel Reach, enter Constant K (K), Coefficient x in the Equation (x), Inflow Rate (I), A Constant Exponent (m) & Outflow Rate (Q) and hit the calculate button.

FAQs on Total Wedge Storage in Channel Reach

What is the formula to find Total Wedge Storage in Channel Reach?

The formula of Total Wedge Storage in Channel Reach is expressed as Total Storage in Channel Reach = Constant K*(Coefficient x in the Equation*Inflow Rate^A Constant Exponent+(1-Coefficient x in the Equation)*Outflow Rate^A Constant Exponent). Here is an example- 87.07066 = 4*(1.8*28^0.94+(1-1.8)*25^0.94).

How to calculate Total Wedge Storage in Channel Reach?

With Constant K (K), Coefficient x in the Equation (x), Inflow Rate (I), A Constant Exponent (m) & Outflow Rate (Q) we can find Total Wedge Storage in Channel Reach using the formula - Total Storage in Channel Reach = Constant K*(Coefficient x in the Equation*Inflow Rate^A Constant Exponent+(1-Coefficient x in the Equation)*Outflow Rate^A Constant Exponent).

What are the other ways to Calculate Total Storage in Channel Reach?

Here are the different ways to Calculate Total Storage in Channel Reach-

Total Storage in Channel Reach=Constant K*Outflow Rate

Can the Total Wedge Storage in Channel Reach be negative?

No, the Total Wedge Storage in Channel Reach, measured in Volume cannot be negative.

Which unit is used to measure Total Wedge Storage in Channel Reach?

Total Wedge Storage in Channel Reach is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Total Wedge Storage in Channel Reach can be measured.

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: Unit

Total Wedge Storage in Channel Reach Formula

​GoEquation for Linear Storage or Linear Reservoir Formula

Total Wedge Storage in Channel Reach Example

Total Wedge Storage in Channel Reach Solution

Total Wedge Storage in Channel Reach Formula Elements

Other Formulas to find Total Storage in Channel Reach

Other formulas in Hydrologic Channel Routing category

How to Evaluate Total Wedge Storage in Channel Reach?

FAQs on Total Wedge Storage in Channel Reach

Variable Name

GoEquation for Linear Storage or Linear Reservoir Formula