Settling Velocity with respect to Dynamic Viscosity Calculator

✖Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³).ⓘ Mass Density of Particles [ρ_m]			+10% -10%
✖Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).ⓘ Mass Density of Fluid [ρ_f]			+10% -10%
✖The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.ⓘ Diameter of a Spherical Particle [d]			+10% -10%
✖The Dynamic Viscosity refers to the property of a fluid that quantifies its internal resistance to flow when subjected to an external force or shear stress.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%

✖Settling velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.ⓘ Settling Velocity with respect to Dynamic Viscosity [v_s]

⎘ Copy

👎

Formula

Reset

👍

Download Environmental Engineering Formula PDF PDF Image

Settling Velocity with respect to Dynamic Viscosity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Settling Velocity of Particles = ([g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle^2)/(18*Dynamic Viscosity)
v_s = ([g]*(ρ_m-ρ_f)*d^2)/(18*μ_viscosity)
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Settling Velocity of Particles - (Measured in Meter per Second) - Settling velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.
Mass Density of Particles - (Measured in Kilogram per Cubic Meter) - Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³).
Mass Density of Fluid - (Measured in Kilogram per Cubic Meter) - Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³).
Diameter of a Spherical Particle - (Measured in Meter) - The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the property of a fluid that quantifies its internal resistance to flow when subjected to an external force or shear stress.

STEP 1: Convert Input(s) to Base Unit

Mass Density of Particles: 2700 Kilogram per Cubic Meter --> 2700 Kilogram per Cubic Meter No Conversion Required
Mass Density of Fluid: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Diameter of a Spherical Particle: 0.0013 Meter --> 0.0013 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_s = ([g]*(ρ_m-ρ_f)*d^2)/(18*μ_viscosity) --> ([g]*(2700-1000)*0.0013^2)/(18*1.02)

Evaluating ... ...

v_s = 0.00153455912037037

STEP 3: Convert Result to Output's Unit

0.00153455912037037 Meter per Second --> No Conversion Required

FINAL ANSWER

0.00153455912037037 ≈ 0.001535 Meter per Second <-- Settling Velocity of Particles

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Treatment of Water 1 Sedimentation » Settling Velocity » Settling Velocity with respect to Dynamic Viscosity

Credits

Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has verified this Calculator and 500+ more calculators!

< Settling Velocity Calculators

Settling Velocity

Go Settling Velocity of Particles = sqrt((4*[g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle)/(3*Drag Coefficient*Mass Density of Fluid))

Settling Velocity with respect to Specific Gravity of Particle

Go Settling Velocity of Particles = sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient))

Settling Velocity given Frictional Drag

Go Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid))

Settling Velocity given Particle Reynold's Number

Go Settling Velocity of Particles = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Diameter of a Spherical Particle)

Settling Velocity with respect to Dynamic Viscosity Formula

Settling Velocity of Particles = ([g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle^2)/(18*Dynamic Viscosity)
v_s = ([g]*(ρ_m-ρ_f)*d^2)/(18*μ_viscosity)

what is Dynamic Viscosity?

Dynamic Viscosity is the resistance to movement of one layer of a fluid over another and is defined as Kinematic viscosity divided by density and is the ratio of viscous forces to inertia forces.

How to Calculate Settling Velocity with respect to Dynamic Viscosity?

Settling Velocity with respect to Dynamic Viscosity calculator uses Settling Velocity of Particles = ([g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle^2)/(18*Dynamic Viscosity) to calculate the Settling Velocity of Particles, The Settling Velocity with respect to Dynamic Viscosity formula is defined as the settling velocity the speed at which a particle falls through a fluid under the influence of gravity. Settling Velocity of Particles is denoted by v_s symbol.

How to calculate Settling Velocity with respect to Dynamic Viscosity using this online calculator? To use this online calculator for Settling Velocity with respect to Dynamic Viscosity, enter Mass Density of Particles (ρ_m), Mass Density of Fluid (ρ_f), Diameter of a Spherical Particle (d) & Dynamic Viscosity (μ_viscosity) and hit the calculate button. Here is how the Settling Velocity with respect to Dynamic Viscosity calculation can be explained with given input values -> 0.001535 = ([g]*(2700-1000)*0.0013^2)/(18*1.02).

FAQ

What is Settling Velocity with respect to Dynamic Viscosity?

The Settling Velocity with respect to Dynamic Viscosity formula is defined as the settling velocity the speed at which a particle falls through a fluid under the influence of gravity and is represented as v_s = ([g]*(ρ_m-ρ_f)*d^2)/(18*μ_viscosity) or Settling Velocity of Particles = ([g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle^2)/(18*Dynamic Viscosity). Mass Density of Particles refers to the mass of a particle per unit volume, typically expressed in kilograms per cubic meter (kg/m³), Mass Density of Fluid refers to the mass per unit volume of the fluid, typically expressed in kilograms per cubic meter (kg/m³), The Diameter of a Spherical Particle is the distance across the sphere, passing through its center & The Dynamic Viscosity refers to the property of a fluid that quantifies its internal resistance to flow when subjected to an external force or shear stress.

How to calculate Settling Velocity with respect to Dynamic Viscosity?

The Settling Velocity with respect to Dynamic Viscosity formula is defined as the settling velocity the speed at which a particle falls through a fluid under the influence of gravity is calculated using Settling Velocity of Particles = ([g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle^2)/(18*Dynamic Viscosity). To calculate Settling Velocity with respect to Dynamic Viscosity, you need Mass Density of Particles (ρ_m), Mass Density of Fluid (ρ_f), Diameter of a Spherical Particle (d) & Dynamic Viscosity (μ_viscosity). With our tool, you need to enter the respective value for Mass Density of Particles, Mass Density of Fluid, Diameter of a Spherical Particle & Dynamic Viscosity 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 Settling Velocity of Particles?

In this formula, Settling Velocity of Particles uses Mass Density of Particles, Mass Density of Fluid, Diameter of a Spherical Particle & Dynamic Viscosity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Settling Velocity of Particles = sqrt((2*Drag Force)/(Projected Area of A Particle*Drag Coefficient*Mass Density of Fluid))
Settling Velocity of Particles = sqrt((4*[g]*(Mass Density of Particles-Mass Density of Fluid)*Diameter of a Spherical Particle)/(3*Drag Coefficient*Mass Density of Fluid))
Settling Velocity of Particles = sqrt((4*[g]*(Specific Gravity of Spherical Particle-1)*Diameter of a Spherical Particle)/(3*Drag Coefficient))

Home

FREE PDFs

🔍 Search