Length for Ratio of Inertial Forces and Viscous Forces 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%
✖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.ⓘ Length for Ratio of Inertial Forces and Viscous Forces [L]

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Length for Ratio of Inertial Forces and Viscous Forces Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

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)
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (F_i*μ_viscosity)/(F_v*ρ_fluid*V_f) --> (3636*1.02)/(50.4*1.225*20)

Evaluating ... ...

L = 3.00349854227405

STEP 3: Convert Result to Output's Unit

3.00349854227405 Meter --> No Conversion Required

FINAL ANSWER

3.00349854227405 ≈ 3.003499 Meter <-- Characteristic length

(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg

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

Relation between Forces on Prototype and Forces on Model

LaTeX 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 Inertia Forces given Force on Prototype

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

Force on Model given Force on Prototype

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

Force on Prototype

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

Length for Ratio of Inertial Forces and Viscous Forces Formula

LaTeX Go

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

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 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 Length for Ratio of Inertial Forces and Viscous Forces?

Length for Ratio of Inertial Forces and Viscous Forces calculator uses Characteristic length = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Density of Fluid*Velocity of Fluid) to calculate the Characteristic length, The Length for Ratio of Inertial Forces and Viscous Forces can be expressed using Newton’s friction model while while the inertia forces (from above) are proportional to the respective parameters. Characteristic length is denoted by L symbol.

How to calculate Length for Ratio of Inertial Forces and Viscous Forces using this online calculator? To use this online calculator for Length for Ratio of Inertial Forces and Viscous Forces, enter Inertia Forces (F_i), Dynamic Viscosity (μ_viscosity), Viscous Force (F_v), Density of Fluid (ρ_fluid) & Velocity of Fluid (V_f) and hit the calculate button. Here is how the Length for Ratio of Inertial Forces and Viscous Forces calculation can be explained with given input values -> 3.003499 = (3636*1.02)/(50.4*1.225*20).

FAQ

What is Length for Ratio of Inertial Forces and Viscous Forces?

The Length for Ratio of Inertial Forces and Viscous Forces can be expressed using Newton’s friction model while while the inertia forces (from above) are proportional to the respective parameters and is represented as L = (F_i*μ_viscosity)/(F_v*ρ_fluid*V_f) or Characteristic length = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Density of Fluid*Velocity of Fluid). 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, 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.

How to calculate Length for Ratio of Inertial Forces and Viscous Forces?

The Length for Ratio of Inertial Forces and Viscous Forces can be expressed using Newton’s friction model while while the inertia forces (from above) are proportional to the respective parameters is calculated using Characteristic length = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Density of Fluid*Velocity of Fluid). To calculate Length for Ratio of Inertial Forces and Viscous Forces, you need Inertia Forces (F_i), Dynamic Viscosity (μ_viscosity), Viscous Force (F_v), Density of Fluid (ρ_fluid) & Velocity of Fluid (V_f). With our tool, you need to enter the respective value for Inertia Forces, Dynamic Viscosity, Viscous Force, Density of Fluid & Velocity of Fluid 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 Characteristic length?

In this formula, Characteristic length uses Inertia Forces, Dynamic Viscosity, Viscous Force, Density of Fluid & Velocity of Fluid. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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