Terminal Velocity of Fluids for Irregular Shaped 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]			+10% -10%
✖Sphericity of Particle is a Measure of how closely the Shape of an Object resembles that of a Perfect Sphere.ⓘ Sphericity of Particle [Φ_p]			+10% -10%

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

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Terminal Velocity of Fluids for Irregular Shaped Particles

Formula

`"u"_{"t"} = ((18/("d'"_{"p "})^2)+((2.335-(1.744*"Φ"_{"p"}))/sqrt("d'"_{"p "})))^(-1)`

Example

`"0.374227m/s"=((18/("3.2")^2)+((2.335-(1.744*"0.401"))/sqrt("3.2")))^(-1)`

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Terminal Velocity of Fluids for Irregular Shaped Particles Solution

STEP 0: Pre-Calculation Summary

Formula Used

Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+((2.335-(1.744*Sphericity of Particle))/sqrt(Dimensionless Diameter)))^(-1)
u_t = ((18/(d'_p)^2)+((2.335-(1.744*Φ_p))/sqrt(d'_p)))^(-1)
This formula uses 1 Functions, 3 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.
Sphericity of Particle - Sphericity of Particle is a Measure of how closely the Shape of an Object resembles that of a Perfect Sphere.

STEP 1: Convert Input(s) to Base Unit

Dimensionless Diameter: 3.2 --> No Conversion Required
Sphericity of Particle: 0.401 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_t = ((18/(d'_p)^2)+((2.335-(1.744*Φ_p))/sqrt(d'_p)))^(-1) --> ((18/(3.2)^2)+((2.335-(1.744*0.401))/sqrt(3.2)))^(-1)

Evaluating ... ...

u_t = 0.374227407383948

STEP 3: Convert Result to Output's Unit

0.374227407383948 Meter per Second --> No Conversion Required

FINAL ANSWER

0.374227407383948 ≈ 0.374227 Meter per Second <-- Terminal Velocity of Fluid

(Calculation completed in 00.020 seconds)

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Home » Engineering » Chemical Engineering » Chemical Reaction Engineering » Reactions Catalyzed by Solids » Various Fluidized Reactors » Terminal Velocity of Fluids for Irregular Shaped Particles

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Terminal Velocity of Fluids for Irregular Shaped Particles

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

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

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Terminal Velocity of Fluids for Irregular Shaped Particles Formula

Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+((2.335-(1.744*Sphericity of Particle))/sqrt(Dimensionless Diameter)))^(-1)
u_t = ((18/(d'_p)^2)+((2.335-(1.744*Φ_p))/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 Fluids for Irregular Shaped Particles?

Terminal Velocity of Fluids for Irregular Shaped Particles calculator uses Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+((2.335-(1.744*Sphericity of Particle))/sqrt(Dimensionless Diameter)))^(-1) to calculate the Terminal Velocity of Fluid, Terminal Velocity of Fluids for Irregular Shaped Particles formula is defined as Terminal velocity is defined as the highest Velocity attained by an Non Spherical Object falling through a Fluid. Terminal Velocity of Fluid is denoted by u_t symbol.

How to calculate Terminal Velocity of Fluids for Irregular Shaped Particles using this online calculator? To use this online calculator for Terminal Velocity of Fluids for Irregular Shaped Particles, enter Dimensionless Diameter (d'_p) & Sphericity of Particle (Φ_p) and hit the calculate button. Here is how the Terminal Velocity of Fluids for Irregular Shaped Particles calculation can be explained with given input values -> 0.374091 = ((18/(3.2)^2)+((2.335-(1.744*0.401))/sqrt(3.2)))^(-1).

FAQ

What is Terminal Velocity of Fluids for Irregular Shaped Particles?

Terminal Velocity of Fluids for Irregular Shaped Particles formula is defined as Terminal velocity is defined as the highest Velocity attained by an Non Spherical Object falling through a Fluid and is represented as u_t = ((18/(d'_p)^2)+((2.335-(1.744*Φ_p))/sqrt(d'_p)))^(-1) or Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+((2.335-(1.744*Sphericity of Particle))/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 & Sphericity of Particle is a Measure of how closely the Shape of an Object resembles that of a Perfect Sphere.

How to calculate Terminal Velocity of Fluids for Irregular Shaped Particles?

Terminal Velocity of Fluids for Irregular Shaped Particles formula is defined as Terminal velocity is defined as the highest Velocity attained by an Non Spherical Object falling through a Fluid is calculated using Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+((2.335-(1.744*Sphericity of Particle))/sqrt(Dimensionless Diameter)))^(-1). To calculate Terminal Velocity of Fluids for Irregular Shaped Particles, you need Dimensionless Diameter (d'_p) & Sphericity of Particle (Φ_p). With our tool, you need to enter the respective value for Dimensionless Diameter & Sphericity of Particle 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 & Sphericity of Particle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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