Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force Calculator

✖Viscous Force is force due to viscosity.ⓘ Viscous Force [F_v]			+10% -10%
✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_fluid]			+10% -10%
✖Velocity of Fluid is the vector field that is used to describe fluid motion in a mathematical manner.ⓘ Velocity of Fluid [V_f]			+10% -10%
✖Characteristic length is the linear dimension expressed in physical model relationships between prototype and model.ⓘ Characteristic length [L]			+10% -10%
✖Inertia Forces are the forces that keep fluid moving against viscous [ viscosity] forces.ⓘ Inertia Forces [F_i]			+10% -10%

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force [μ_viscosity]

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Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force

Formula

`"μ"_{"viscosity"} = ("F"_{"v"}*"ρ"_{"fluid"}*"V"_{"f"}*"L")/"F"_{"i"}`

Example

`"10.18812P"=("0.0504kN"*"1.225kg/m³"*"20m/s"*"3m")/"3.636kN"`

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Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = (Viscous Force*Density of Fluid*Velocity of Fluid*Characteristic length)/Inertia Forces
μ_viscosity = (F_v*ρ_fluid*V_f*L)/F_i
This formula uses 6 Variables

Variables Used

Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Viscous Force - (Measured in Newton) - Viscous Force is force due to viscosity.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Velocity of Fluid - (Measured in Meter per Second) - Velocity of Fluid is the vector field that is used to describe fluid motion in a mathematical manner.
Characteristic length - (Measured in Meter) - Characteristic length is the linear dimension expressed in physical model relationships between prototype and model.
Inertia Forces - (Measured in Newton) - Inertia Forces are the forces that keep fluid moving against viscous [ viscosity] forces.

STEP 1: Convert Input(s) to Base Unit

Viscous Force: 0.0504 Kilonewton --> 50.4 Newton (Check conversion here)
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Velocity of Fluid: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Characteristic length: 3 Meter --> 3 Meter No Conversion Required
Inertia Forces: 3.636 Kilonewton --> 3636 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_viscosity = (F_v*ρ_fluid*V_f*L)/F_i --> (50.4*1.225*20*3)/3636

Evaluating ... ...

μ_viscosity = 1.01881188118812

STEP 3: Convert Result to Output's Unit

1.01881188118812 Pascal Second -->10.1881188118812 Poise (Check conversion here)

FINAL ANSWER

10.1881188118812 ≈ 10.18812 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 18 Relation between Forces on the Prototype and Forces on the Model Calculators

Scale Factor for Velocity given Forces on Prototype and Force on Model

Go Scale Factor for Velocity = sqrt(Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Length^2*Force on Model))

Scale Factor for Length given Forces on Prototype and Force on Model

Go Scale Factor for Length = sqrt(Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2*Force on Model))

Velocity given Ratio of Inertial Forces and Viscous Forces using Newton's Friction model

Go Velocity of Fluid = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Density of Fluid*Characteristic length)

Density of Fluid for Ratio of Inertial Forces and Viscous Forces

Go Density of Fluid = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Velocity of Fluid*Characteristic length)

Length for Ratio of Inertial Forces and Viscous Forces

Go Characteristic length = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Density of Fluid*Velocity of Fluid)

Viscous Forces using Newton's Friction model

Go Viscous Force = (Inertia Forces*Dynamic Viscosity)/(Density of Fluid*Velocity of Fluid*Characteristic length)

Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force

Go Dynamic Viscosity = (Viscous Force*Density of Fluid*Velocity of Fluid*Characteristic length)/Inertia Forces

Inertial Forces using Newton's Friction Model

Go Inertia Forces = (Viscous Force*Density of Fluid*Velocity of Fluid*Characteristic length)/Dynamic Viscosity

Relation between Forces on Prototype and Forces on Model

Go Force on Prototype = Scale Factor for Density of Fluid*(Scale Factor for Velocity^2)*(Scale Factor for Length^2)*Force on Model

Scale Factor for Density of Fluid given Forces on Prototype and Model

Go Scale Factor for Density of Fluid = Force on Prototype/(Scale Factor for Velocity^2*Scale Factor for Length^2*Force on Model)

Force on Model for Scale Factor Parameters

Go Force on Model = Force on Prototype/(Scale Factor for Density of Fluid*Scale Factor for Velocity^2*Scale Factor for Length^2)

Velocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces

Go Velocity of Fluid = (Inertia Forces*Kinematic Viscosity for Model Analysis)/(Viscous Force*Characteristic length)

Length given Kinematic Viscosity, Ratio of Inertial forces and Viscous forces

Go Characteristic length = (Inertia Forces*Kinematic Viscosity for Model Analysis)/(Viscous Force*Velocity of Fluid)

Kinematic Viscosity for Ratio of Inertial Forces and Viscous Force

Go Kinematic Viscosity for Model Analysis = (Viscous Force*Velocity of Fluid*Characteristic length)/Inertia Forces

Inertial Forces given Kinematic Viscosity

Go Inertia Forces = (Viscous Force*Velocity of Fluid*Characteristic length)/Kinematic Viscosity for Model Analysis

Scale Factor for Inertia Forces given Force on Prototype

Go Scale Factor for Inertia Forces = Force on Prototype/Force on Model

Force on Model given Force on Prototype

Go Force on Model = Force on Prototype/Scale Factor for Inertia Forces

Force on Prototype

Go Force on Prototype = Scale Factor for Inertia Forces*Force on Model

Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force Formula

Dynamic Viscosity = (Viscous Force*Density of Fluid*Velocity of Fluid*Characteristic length)/Inertia Forces
μ_viscosity = (F_v*ρ_fluid*V_f*L)/F_i

What is Viscous Force?

The viscosity of a fluid is a measure of its resistance to deformation at a given rate. For liquids, it corresponds to the informal concept of "thickness": for example, syrup has a higher viscosity than water. The viscous force is the force between a body and a fluid (liquid or gas) moving past it, in a direction so as to oppose the flow of the fluid past the object.

Define Inertial force

The inertial force is a force opposite in direction to an accelerating force acting on a body and equal to the product of the accelerating force and the mass of the body. he force that keeps fluid moving against viscous [ viscosity] forces is the inertial force. The inertial forces are characterized by the product of the density rho times the velocity V times the gradient of the velocity dV/dx.

How to Calculate Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force?

Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force calculator uses Dynamic Viscosity = (Viscous Force*Density of Fluid*Velocity of Fluid*Characteristic length)/Inertia Forces to calculate the Dynamic Viscosity, The Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force formula is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density. Dynamic Viscosity is denoted by μ_viscosity symbol.

How to calculate Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force using this online calculator? To use this online calculator for Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force, enter Viscous Force (F_v), Density of Fluid (ρ_fluid), Velocity of Fluid (V_f), Characteristic length (L) & Inertia Forces (F_i) and hit the calculate button. Here is how the Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force calculation can be explained with given input values -> 101.8812 = (50.4*1.225*20*3)/3636.

FAQ

What is Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force?

The Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force formula is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density and is represented as μ_viscosity = (F_v*ρ_fluid*V_f*L)/F_i or Dynamic Viscosity = (Viscous Force*Density of Fluid*Velocity of Fluid*Characteristic length)/Inertia Forces. Viscous Force is force due to viscosity, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, Velocity of Fluid is the vector field that is used to describe fluid motion in a mathematical manner, Characteristic length is the linear dimension expressed in physical model relationships between prototype and model & Inertia Forces are the forces that keep fluid moving against viscous [ viscosity] forces.

How to calculate Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force?

The Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force formula is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density is calculated using Dynamic Viscosity = (Viscous Force*Density of Fluid*Velocity of Fluid*Characteristic length)/Inertia Forces. To calculate Dynamic Viscosity for Ratio of Inertial Forces and Viscous Force, you need Viscous Force (F_v), Density of Fluid (ρ_fluid), Velocity of Fluid (V_f), Characteristic length (L) & Inertia Forces (F_i). With our tool, you need to enter the respective value for Viscous Force, Density of Fluid, Velocity of Fluid, Characteristic length & Inertia Forces 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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