FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

King's Dimensionless Variable Formula

Fx Copy

LaTeX Copy

King’s Dimensionless Variable for Freshwater is a metric used in fluid dynamics to characterize flow patterns in freshwater environments succinctly. Check FAQs

Qr' = Qr \cdot \frac{T}{2 \cdot π \cdot a o \cdot A b}

Qr' - King’s Dimensionless Variable for Freshwater?Qr - River or Freshwater Inflow to a Bay?T - Tidal Period?a_o - Ocean Tide Amplitude?A_b - Surface Area of Bay?π - Archimedes' constant?

King's Dimensionless Variable Example

With values

With units

Only example

Here is how the King's Dimensionless Variable equation looks like with Values.

Here is how the King's Dimensionless Variable equation looks like with Units.

Here is how the King's Dimensionless Variable equation looks like.

0.5747 = 10 \cdot \frac{130}{2 \cdot 3.1416 \cdot 4 \cdot 1.5001}

0.5747 = 10m³/min \cdot \frac{130s}{2 \cdot 3.1416 \cdot 4m \cdot 1.5001m²}

0.5747 = 10 \cdot \frac{130}{2 \cdot 3.1416 \cdot 4 \cdot 1.5001}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Coastal and Ocean Engineering » fx King's Dimensionless Variable

King's Dimensionless Variable Solution

Follow our step by step solution on how to calculate King's Dimensionless Variable?

FIRST Step Consider the formula

Qr' = Qr \cdot \frac{T}{2 \cdot π \cdot a o \cdot A b}

Next Step Substitute values of Variables

∴

Qr' = 10m³/min \cdot \frac{130s}{2 \cdot π \cdot 4m \cdot 1.5001m²}

Next Step Substitute values of Constants

∴

Qr' = 10m³/min \cdot \frac{130s}{2 \cdot 3.1416 \cdot 4m \cdot 1.5001m²}

Next Step Convert Units

∴

Qr' = 0.1667m³/s \cdot \frac{130s}{2 \cdot 3.1416 \cdot 4m \cdot 1.5001m²}

Next Step Prepare to Evaluate

∴

Qr' = 0.1667 \cdot \frac{130}{2 \cdot 3.1416 \cdot 4 \cdot 1.5001}

Next Step Evaluate

∴

Qr' = 0.574687870862677

LAST Step Rounding Answer

∴

Qr' = 0.5747

King's Dimensionless Variable Formula Elements

Variables

Constants

King’s Dimensionless Variable for Freshwater

King’s Dimensionless Variable for Freshwater is a metric used in fluid dynamics to characterize flow patterns in freshwater environments succinctly.

Symbol: Qr'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find King’s Dimensionless Variable for Freshwater

River or Freshwater Inflow to a Bay

River or Freshwater Inflow to a Bay is the water that is less saline than marine water.

Symbol: Qr

Measurement: Volumetric Flow RateUnit: m³/min

Note: Value can be positive or negative.

Formulas to find River or Freshwater Inflow to a Bay

Tidal Period

Tidal Period is the time taken for a specific site on Earth to rotate from an exact point under moon to same point under moon, also known as “tidal day” and it’s slightly longer than a solar day.

Symbol: T

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Tidal Period

Ocean Tide Amplitude

Ocean Tide Amplitude is the height difference between high and low tides, reflecting gravitational forces from the moon and sun.

Symbol: a_o

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Ocean Tide Amplitude

Surface Area of Bay

Surface Area of Bay is defined as a small body of water set off from the main body.

Symbol: A_b

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Surface Area of Bay

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Effect of Freshwater Inflow category

Go River or Freshwater Inflow to Bay using King's Dimensionless Variable

Qr = \frac{Qr' \cdot 2 \cdot π \cdot a o \cdot A b}{T}

Go Tidal Period using King's Dimensionless Variable

T = \frac{Qr' \cdot 2 \cdot π \cdot a o \cdot A b}{Qr}

Go Ocean Tide Amplitude using King's Dimensionless Variable

a o = \frac{Qr \cdot T}{Qr' \cdot 2 \cdot π \cdot A b}

Go Surface Area of Bay or Basin using King's Dimensionless Variable

A b = \frac{Qr \cdot T}{Qr' \cdot 2 \cdot π \cdot a o}

How to Evaluate King's Dimensionless Variable?

King's Dimensionless Variable evaluator uses King’s Dimensionless Variable for Freshwater = River or Freshwater Inflow to a Bay*Tidal Period/(2*pi*Ocean Tide Amplitude*Surface Area of Bay) to evaluate the King’s Dimensionless Variable for Freshwater, The King's Dimensionless Variable is defined as a parameter that characterizes fluid flow properties, independent of scale, crucial in fluid dynamics and heat transfer analyses. King’s Dimensionless Variable for Freshwater is denoted by Qr' symbol.

How to evaluate King's Dimensionless Variable using this online evaluator? To use this online evaluator for King's Dimensionless Variable, enter River or Freshwater Inflow to a Bay (Qr), Tidal Period (T), Ocean Tide Amplitude (a_o) & Surface Area of Bay (A_b) and hit the calculate button.

FAQs on King's Dimensionless Variable

What is the formula to find King's Dimensionless Variable?

The formula of King's Dimensionless Variable is expressed as King’s Dimensionless Variable for Freshwater = River or Freshwater Inflow to a Bay*Tidal Period/(2*pi*Ocean Tide Amplitude*Surface Area of Bay). Here is an example- 0.574726 = 0.166666666666667*130/(2*pi*4*1.5001).

How to calculate King's Dimensionless Variable?

With River or Freshwater Inflow to a Bay (Qr), Tidal Period (T), Ocean Tide Amplitude (a_o) & Surface Area of Bay (A_b) we can find King's Dimensionless Variable using the formula - King’s Dimensionless Variable for Freshwater = River or Freshwater Inflow to a Bay*Tidal Period/(2*pi*Ocean Tide Amplitude*Surface Area of Bay). This formula also uses Archimedes' constant .

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

King's Dimensionless Variable Formula

King's Dimensionless Variable Example

King's Dimensionless Variable Solution

King's Dimensionless Variable Formula Elements

Other formulas in Effect of Freshwater Inflow category

How to Evaluate King's Dimensionless Variable?

FAQs on King's Dimensionless Variable

Variable Name