Viscous Forces using Newton's Friction model Calculator

✖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 [μ_viscosity]			+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%

✖Viscous Force is force due to viscosity.ⓘ Viscous Forces using Newton's Friction model [F_v]

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Formula

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Viscous Forces using Newton's Friction model

Formula

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

Example

`"0.050459kN"=("3.636kN"*"10.2P")/("1.225kg/m³"*"20m/s"*"3m")`

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Download Relation between Forces on the Prototype and Forces on the Model Formulas PDF

Viscous Forces using Newton's Friction model Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Viscous Force - (Measured in Newton) - Viscous Force is force due to viscosity.
Inertia Forces - (Measured in Newton) - Inertia Forces are the forces that keep fluid moving against viscous [ viscosity] forces.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Inertia Forces: 3.636 Kilonewton --> 3636 Newton (Check conversion here)
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_v = (F_i*μ_viscosity)/(ρ_fluid*V_f*L) --> (3636*1.02)/(1.225*20*3)

Evaluating ... ...

F_v = 50.4587755102041

STEP 3: Convert Result to Output's Unit

50.4587755102041 Newton -->0.0504587755102041 Kilonewton (Check conversion here)

FINAL ANSWER

0.0504587755102041 ≈ 0.050459 Kilonewton <-- Viscous Force

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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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

Viscous Forces using Newton's Friction model Formula

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

What is Viscosity?

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.

What is Viscous Force?

The Viscous force is defined as the internal or resistance force that is given by the fluid when it is highly subjected to the greatest tangible forces on the shear and surfaces. The particles of the flow of molecules near the surface area adhere to it.

How to Calculate Viscous Forces using Newton's Friction model?

Viscous Forces using Newton's Friction model calculator uses Viscous Force = (Inertia Forces*Dynamic Viscosity)/(Density of Fluid*Velocity of Fluid*Characteristic length) to calculate the Viscous Force, The Viscous Forces using Newton's Friction model formula 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. Viscous Force is denoted by F_v symbol.

How to calculate Viscous Forces using Newton's Friction model using this online calculator? To use this online calculator for Viscous Forces using Newton's Friction model, enter Inertia Forces (F_i), Dynamic Viscosity (μ_viscosity), Density of Fluid (ρ_fluid), Velocity of Fluid (V_f) & Characteristic length (L) and hit the calculate button. Here is how the Viscous Forces using Newton's Friction model calculation can be explained with given input values -> 5E-5 = (3636*1.02)/(1.225*20*3).

FAQ

What is Viscous Forces using Newton's Friction model?

The Viscous Forces using Newton's Friction model formula 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 and is represented as F_v = (F_i*μ_viscosity)/(ρ_fluid*V_f*L) or Viscous Force = (Inertia Forces*Dynamic Viscosity)/(Density of Fluid*Velocity of Fluid*Characteristic length). Inertia Forces are the forces that keep fluid moving against viscous [ viscosity] forces, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, 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.

How to calculate Viscous Forces using Newton's Friction model?

The Viscous Forces using Newton's Friction model formula 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 is calculated using Viscous Force = (Inertia Forces*Dynamic Viscosity)/(Density of Fluid*Velocity of Fluid*Characteristic length). To calculate Viscous Forces using Newton's Friction model, you need Inertia Forces (F_i), Dynamic Viscosity (μ_viscosity), Density of Fluid (ρ_fluid), Velocity of Fluid (V_f) & Characteristic length (L). With our tool, you need to enter the respective value for Inertia Forces, Dynamic Viscosity, Density of Fluid, Velocity of Fluid & Characteristic length 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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