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Inlet Diameter given Inlet Velocity of Fluid in Nozzle Formula

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Inlet Diameter of Nozzle is defined as the inlet diameter of nozzle. Check FAQs

D inlet = \sqrt{\frac{4 \cdot V Flow}{π \cdot U inlet}}

D_inlet - Inlet Diameter of Nozzle?V_Flow - Volumetric Flow Rate?U_inlet - Inlet Velocity?π - Archimedes' constant?

Inlet Diameter given Inlet Velocity of Fluid in Nozzle Example

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Here is how the Inlet Diameter given Inlet Velocity of Fluid in Nozzle equation looks like with Values.

Here is how the Inlet Diameter given Inlet Velocity of Fluid in Nozzle equation looks like with Units.

Here is how the Inlet Diameter given Inlet Velocity of Fluid in Nozzle equation looks like.

1.9793 = \sqrt{\frac{4 \cdot 6}{3.1416 \cdot 1.95}}

1.9793m = \sqrt{\frac{4 \cdot 6m³/s}{3.1416 \cdot 1.95m/s}}

1.9793 = \sqrt{\frac{4 \cdot 6}{3.1416 \cdot 1.95}}

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Inlet Diameter given Inlet Velocity of Fluid in Nozzle Solution

Follow our step by step solution on how to calculate Inlet Diameter given Inlet Velocity of Fluid in Nozzle?

FIRST Step Consider the formula

D inlet = \sqrt{\frac{4 \cdot V Flow}{π \cdot U inlet}}

Next Step Substitute values of Variables

∴

D inlet = \sqrt{\frac{4 \cdot 6m³/s}{π \cdot 1.95m/s}}

Next Step Substitute values of Constants

∴

D inlet = \sqrt{\frac{4 \cdot 6m³/s}{3.1416 \cdot 1.95m/s}}

Next Step Prepare to Evaluate

∴

D inlet = \sqrt{\frac{4 \cdot 6}{3.1416 \cdot 1.95}}

Next Step Evaluate

∴

D inlet = 1.97930799464021m

LAST Step Rounding Answer

∴

D inlet = 1.9793m

Inlet Diameter given Inlet Velocity of Fluid in Nozzle Formula Elements

Variables

Constants

Functions

Inlet Diameter of Nozzle

Inlet Diameter of Nozzle is defined as the inlet diameter of nozzle.

Symbol: D_inlet

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Inlet Diameter of Nozzle

Volumetric Flow Rate

Volumetric Flow Rate is the volume of fluid which passes per unit time.

Symbol: V_Flow

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Volumetric Flow Rate

Inlet Velocity

Inlet Velocity is defined as the velocity of fluid going in the vessel or nozzle.

Symbol: U_inlet

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Inlet Velocity

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Fluid Kinematics category

Go Inlet Velocity in Nozzle given Inlet Area of Nozzle

U inlet = \frac{V Flow}{A inlet}

Go Inlet Velocity in Nozzle given Inlet Diameter of Nozzle

U inlet = \frac{4 \cdot V Flow}{π \cdot ({D inlet}^{2})}

Go Inlet Area of Nozzle given Diameter of Nozzle

A inlet = π \cdot (\frac{{D inlet}^{2}}{4})

Go Inlet Area given Inlet Velocity of Fluid in Nozzle

A inlet = \frac{V Flow}{U inlet}

How to Evaluate Inlet Diameter given Inlet Velocity of Fluid in Nozzle?

Inlet Diameter given Inlet Velocity of Fluid in Nozzle evaluator uses Inlet Diameter of Nozzle = sqrt((4*Volumetric Flow Rate)/(pi*Inlet Velocity)) to evaluate the Inlet Diameter of Nozzle, The Inlet Diameter given Inlet Velocity of Fluid in Nozzle formula is defined as the function of volumetric flow rate and inlet velocity. There is a direct analogy between systems versus control volumes in thermodynamics and Lagrangian versus Eulerian descriptions in fluid dynamics. The equations of motion for fluid flow (such as Newton’s second law) are written for a fluid particle, which we also call a material particle. If we were to follow a particular fluid particle as it moves around in the flow, we would be employing the Lagrangian description, and the equations of motion would be directly applicable. For example, we would define the particle’s location in space in terms of a material position vector. Inlet Diameter of Nozzle is denoted by D_inlet symbol.

How to evaluate Inlet Diameter given Inlet Velocity of Fluid in Nozzle using this online evaluator? To use this online evaluator for Inlet Diameter given Inlet Velocity of Fluid in Nozzle, enter Volumetric Flow Rate (V_Flow) & Inlet Velocity (U_inlet) and hit the calculate button.

FAQs on Inlet Diameter given Inlet Velocity of Fluid in Nozzle

What is the formula to find Inlet Diameter given Inlet Velocity of Fluid in Nozzle?

The formula of Inlet Diameter given Inlet Velocity of Fluid in Nozzle is expressed as Inlet Diameter of Nozzle = sqrt((4*Volumetric Flow Rate)/(pi*Inlet Velocity)). Here is an example- 1.979308 = sqrt((4*6)/(pi*1.95)).

How to calculate Inlet Diameter given Inlet Velocity of Fluid in Nozzle?

With Volumetric Flow Rate (V_Flow) & Inlet Velocity (U_inlet) we can find Inlet Diameter given Inlet Velocity of Fluid in Nozzle using the formula - Inlet Diameter of Nozzle = sqrt((4*Volumetric Flow Rate)/(pi*Inlet Velocity)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Inlet Diameter given Inlet Velocity of Fluid in Nozzle be negative?

Yes, the Inlet Diameter given Inlet Velocity of Fluid in Nozzle, measured in Length can be negative.

Which unit is used to measure Inlet Diameter given Inlet Velocity of Fluid in Nozzle?

Inlet Diameter given Inlet Velocity of Fluid in Nozzle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inlet Diameter given Inlet Velocity of Fluid in Nozzle can be measured.

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