Terminal Velocity of Fluid for Spherical Particles Calculator

✖The Dimensionless Diameter is a parameter used to characterize the size of solid particles relative to the flow conditions of the Gas Phase.ⓘ Dimensionless Diameter [d'_p]

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✖Terminal Velocity of Fluid is the Velocity achieved when the Fluid exceeds its Actual Velocity.ⓘ Terminal Velocity of Fluid for Spherical Particles [u_t]

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Terminal Velocity of Fluid for Spherical Particles Solution

STEP 0: Pre-Calculation Summary

Formula Used

Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+(0.591/sqrt(Dimensionless Diameter)))^(-1)
u_t = ((18/(d'_p)^2)+(0.591/sqrt(d'_p)))^(-1)
This formula uses 1 Functions, 2 Variables

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

Terminal Velocity of Fluid - (Measured in Meter per Second) - Terminal Velocity of Fluid is the Velocity achieved when the Fluid exceeds its Actual Velocity.
Dimensionless Diameter - The Dimensionless Diameter is a parameter used to characterize the size of solid particles relative to the flow conditions of the Gas Phase.

STEP 1: Convert Input(s) to Base Unit

Dimensionless Diameter: 3.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_t = ((18/(d'_p)^2)+(0.591/sqrt(d'_p)))^(-1) --> ((18/(3.2)^2)+(0.591/sqrt(3.2)))^(-1)

Evaluating ... ...

u_t = 0.478883272479794

STEP 3: Convert Result to Output's Unit

0.478883272479794 Meter per Second --> No Conversion Required

FINAL ANSWER

0.478883272479794 ≈ 0.478883 Meter per Second <-- Terminal Velocity of Fluid

(Calculation completed in 00.004 seconds)

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< Various Fluidized Reactors Calculators

Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime

LaTeX Go Dimensionless Diameter = Diameter of Particle*(((Density of Gas*(Density of Solids-Density of Gas)*[g])/(Viscosity of Liquid)^2)^(1/3))

Dimensionless Velocity for Fluidized Reactors at G/S Contacting Regime

LaTeX Go Dimensionless Velocity = Velocity in Tube*((Density of Gas^2)/(Viscosity of Liquid*(Density of Solids-Density of Gas)*[g]))^(1/3)

Terminal Velocity of Fluids for Irregular Shaped Particles

LaTeX Go Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+((2.335-(1.744*Sphericity of Particle))/sqrt(Dimensionless Diameter)))^(-1)

Terminal Velocity of Fluid for Spherical Particles

LaTeX Go Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+(0.591/sqrt(Dimensionless Diameter)))^(-1)

Terminal Velocity of Fluid for Spherical Particles Formula

LaTeX Go

Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+(0.591/sqrt(Dimensionless Diameter)))^(-1)
u_t = ((18/(d'_p)^2)+(0.591/sqrt(d'_p)))^(-1)

What is Sphericity ?

Sphericity is a measure of how closely an object or particle approaches the shape of a perfect sphere. It is a dimensionless parameter defined as the ratio of the surface area of a sphere with the same volume as the object or particle to the actual surface area of the object or particle. It ranges between 0 and 1, nearer to 1 resembles sphere, where Non spherical Objects values nearer to 0.

What are Fluidized Reactors ?

Fluidized bed reactors are a type of chemical reactor where a bed of solid particles is suspended and behaves like a fluid due to the upward flow of gas.

How to Calculate Terminal Velocity of Fluid for Spherical Particles?

Terminal Velocity of Fluid for Spherical Particles calculator uses Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+(0.591/sqrt(Dimensionless Diameter)))^(-1) to calculate the Terminal Velocity of Fluid, The Terminal Velocity of Fluid for Spherical Particles formula is defined as Terminal velocity is defined as the highest Velocity attained by an Spherical Object falling through a Fluid. Terminal Velocity of Fluid is denoted by u_t symbol.

How to calculate Terminal Velocity of Fluid for Spherical Particles using this online calculator? To use this online calculator for Terminal Velocity of Fluid for Spherical Particles, enter Dimensionless Diameter (d'_p) and hit the calculate button. Here is how the Terminal Velocity of Fluid for Spherical Particles calculation can be explained with given input values -> 0.478883 = ((18/(3.2)^2)+(0.591/sqrt(3.2)))^(-1).

FAQ

What is Terminal Velocity of Fluid for Spherical Particles?

The Terminal Velocity of Fluid for Spherical Particles formula is defined as Terminal velocity is defined as the highest Velocity attained by an Spherical Object falling through a Fluid and is represented as u_t = ((18/(d'_p)^2)+(0.591/sqrt(d'_p)))^(-1) or Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+(0.591/sqrt(Dimensionless Diameter)))^(-1). The Dimensionless Diameter is a parameter used to characterize the size of solid particles relative to the flow conditions of the Gas Phase.

How to calculate Terminal Velocity of Fluid for Spherical Particles?

The Terminal Velocity of Fluid for Spherical Particles formula is defined as Terminal velocity is defined as the highest Velocity attained by an Spherical Object falling through a Fluid is calculated using Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+(0.591/sqrt(Dimensionless Diameter)))^(-1). To calculate Terminal Velocity of Fluid for Spherical Particles, you need Dimensionless Diameter (d'_p). With our tool, you need to enter the respective value for Dimensionless Diameter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Terminal Velocity of Fluid?

In this formula, Terminal Velocity of Fluid uses Dimensionless Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+((2.335-(1.744*Sphericity of Particle))/sqrt(Dimensionless Diameter)))^(-1)

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