Inlet Diameter given Inlet Velocity of Fluid in Nozzle Calculator

✖Volumetric Flow Rate is the volume of fluid which passes per unit time.ⓘ Volumetric Flow Rate [V_Flow]			+10% -10%
✖Inlet Velocity is defined as the velocity of fluid going in the vessel or nozzle.ⓘ Inlet Velocity [U_inlet]			+10% -10%

✖Inlet Diameter of Nozzle is defined as the inlet diameter of nozzle.ⓘ Inlet Diameter given Inlet Velocity of Fluid in Nozzle [D_inlet]

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Inlet Diameter given Inlet Velocity of Fluid in Nozzle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inlet Diameter of Nozzle = sqrt((4*Volumetric Flow Rate)/(pi*Inlet Velocity))
D_inlet = sqrt((4*V_Flow)/(pi*U_inlet))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Inlet Diameter of Nozzle - (Measured in Meter) - Inlet Diameter of Nozzle is defined as the inlet diameter of nozzle.
Volumetric Flow Rate - (Measured in Cubic Meter per Second) - Volumetric Flow Rate is the volume of fluid which passes per unit time.
Inlet Velocity - (Measured in Meter per Second) - Inlet Velocity is defined as the velocity of fluid going in the vessel or nozzle.

STEP 1: Convert Input(s) to Base Unit

Volumetric Flow Rate: 6 Cubic Meter per Second --> 6 Cubic Meter per Second No Conversion Required
Inlet Velocity: 1.95 Meter per Second --> 1.95 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_inlet = sqrt((4*V_Flow)/(pi*U_inlet)) --> sqrt((4*6)/(pi*1.95))

Evaluating ... ...

D_inlet = 1.97930799464021

STEP 3: Convert Result to Output's Unit

1.97930799464021 Meter --> No Conversion Required

FINAL ANSWER

1.97930799464021 ≈ 1.979308 Meter <-- Inlet Diameter of Nozzle

(Calculation completed in 00.004 seconds)

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< Fluid Kinematics Calculators

Inlet Velocity in Nozzle given Inlet Diameter of Nozzle

LaTeX Go Inlet Velocity = (4*Volumetric Flow Rate)/(pi*(Inlet Diameter of Nozzle^2))

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Inlet Velocity in Nozzle given Inlet Area of Nozzle

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Inlet Area given Inlet Velocity of Fluid in Nozzle

LaTeX Go Inlet Area = Volumetric Flow Rate/Inlet Velocity

Inlet Diameter given Inlet Velocity of Fluid in Nozzle Formula

LaTeX Go

Inlet Diameter of Nozzle = sqrt((4*Volumetric Flow Rate)/(pi*Inlet Velocity))
D_inlet = sqrt((4*V_Flow)/(pi*U_inlet))

What is Fluid Mechanics?

Fluid dynamics is “the branch of applied science that is concerned with the movement of liquids and gases”. It involves a wide range of applications such as calculating force & moments, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space, and modelling fission weapon detonation.

What is Fluid Kinematics?

Fluid kinematics is the branch of fluid mechanics in which the study of the different fluid flows is carried out but without the help of the causing parameters. Fluid Kinematics deals with the motion of fluids, such as displacement, velocity, acceleration, and other aspects. Kinematics is the branch of classical mechanics that describes the motion of bodies and systems without consideration of the forces that cause the motion. there are various types of flow: steady and unsteady flow, compressible and incompressible, uniform and non-uniform, rotational and irrotational.

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

Inlet Diameter given Inlet Velocity of Fluid in Nozzle calculator uses Inlet Diameter of Nozzle = sqrt((4*Volumetric Flow Rate)/(pi*Inlet Velocity)) to calculate 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 calculate Inlet Diameter given Inlet Velocity of Fluid in Nozzle using this online calculator? To use this online calculator 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. Here is how the Inlet Diameter given Inlet Velocity of Fluid in Nozzle calculation can be explained with given input values -> 1.979308 = sqrt((4*6)/(pi*1.95)).

FAQ

What is Inlet Diameter given Inlet Velocity of Fluid in 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 and is represented as D_inlet = sqrt((4*V_Flow)/(pi*U_inlet)) or Inlet Diameter of Nozzle = sqrt((4*Volumetric Flow Rate)/(pi*Inlet Velocity)). Volumetric Flow Rate is the volume of fluid which passes per unit time & Inlet Velocity is defined as the velocity of fluid going in the vessel or nozzle.

How to calculate Inlet Diameter given Inlet Velocity of Fluid in 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 is calculated using Inlet Diameter of Nozzle = sqrt((4*Volumetric Flow Rate)/(pi*Inlet Velocity)). To calculate Inlet Diameter given Inlet Velocity of Fluid in Nozzle, you need Volumetric Flow Rate (V_Flow) & Inlet Velocity (U_inlet). With our tool, you need to enter the respective value for Volumetric Flow Rate & Inlet Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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