Diameter of Sphere for given Fall Velocity Calculator

✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%

✖The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere.ⓘ Diameter of Sphere for given Fall Velocity [D_S]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Laminar Flow around a Sphere Stokes’ Law Formulas PDF PDF Image

Diameter of Sphere for given Fall Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Sphere = sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid))
D_S = sqrt((V_mean*18*μ)/(γ_f))
This formula uses 1 Functions, 4 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

Diameter of Sphere - (Measured in Meter) - The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Dynamic Viscosity - (Measured in Kilopoise) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.

STEP 1: Convert Input(s) to Base Unit

Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 0.0102 Kilopoise (Check conversion here)
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_S = sqrt((V_mean*18*μ)/(γ_f)) --> sqrt((10.1*18*0.0102)/(9810))

Evaluating ... ...

D_S = 0.0137487280479243

STEP 3: Convert Result to Output's Unit

0.0137487280479243 Meter --> No Conversion Required

FINAL ANSWER

0.0137487280479243 ≈ 0.013749 Meter <-- Diameter of Sphere

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow around a Sphere Stokes’ Law » Diameter of Sphere for given Fall Velocity

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< Laminar Flow around a Sphere Stokes’ Law Calculators

Dynamic Viscosity of fluid given Resistance Force on Spherical Surface

LaTeX Go Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity)

Diameter of Sphere given Resistance Force on Spherical Surface

LaTeX Go Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity)

Velocity of Sphere given Resistance Force on Spherical Surface

LaTeX Go Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)

Resistance Force on Spherical Surface

LaTeX Go Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere

Diameter of Sphere for given Fall Velocity Formula

LaTeX Go

Diameter of Sphere = sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid))
D_S = sqrt((V_mean*18*μ)/(γ_f))

What is Terminal Fall Velocity?

Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example). It occurs when the sum of the drag force (Fd) and the buoyancy is equal to the downward force of gravity (FG) acting on the object. Since the net force on the object is zero, the object has zero acceleration.

How to Calculate Diameter of Sphere for given Fall Velocity?

Diameter of Sphere for given Fall Velocity calculator uses Diameter of Sphere = sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid)) to calculate the Diameter of Sphere, The Diameter of Sphere for given Fall Velocity is defined as the width of the section of the sphere in the flow. Diameter of Sphere is denoted by D_S symbol.

How to calculate Diameter of Sphere for given Fall Velocity using this online calculator? To use this online calculator for Diameter of Sphere for given Fall Velocity, enter Mean Velocity (V_mean), Dynamic Viscosity (μ) & Specific Weight of Liquid (γ_f) and hit the calculate button. Here is how the Diameter of Sphere for given Fall Velocity calculation can be explained with given input values -> 0.013749 = sqrt((10.1*18*1.02)/(9810)).

FAQ

What is Diameter of Sphere for given Fall Velocity?

The Diameter of Sphere for given Fall Velocity is defined as the width of the section of the sphere in the flow and is represented as D_S = sqrt((V_mean*18*μ)/(γ_f)) or Diameter of Sphere = sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid)). Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied & The Specific Weight of Liquid refers to the weight per unit volume of that substance.

How to calculate Diameter of Sphere for given Fall Velocity?

The Diameter of Sphere for given Fall Velocity is defined as the width of the section of the sphere in the flow is calculated using Diameter of Sphere = sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid)). To calculate Diameter of Sphere for given Fall Velocity, you need Mean Velocity (V_mean), Dynamic Viscosity (μ) & Specific Weight of Liquid (γ_f). With our tool, you need to enter the respective value for Mean Velocity, Dynamic Viscosity & Specific Weight of Liquid 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 Diameter of Sphere?

In this formula, Diameter of Sphere uses Mean Velocity, Dynamic Viscosity & Specific Weight of Liquid. We can use 2 other way(s) to calculate the same, which is/are as follows -

Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity)
Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag)

Home

FREE PDFs

🔍 Search