Density of Fluid 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%
✖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%

✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid for Ratio of Inertial Forces and Viscous Forces [ρ_fluid]

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Density of Fluid for Ratio of Inertial Forces and Viscous Forces

Formula

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

Example

`"1.226429kg/m³"=("3.636kN"*"10.2P")/("0.0504kN"*"20m/s"*"3m")`

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Density of Fluid for Ratio of Inertial Forces and Viscous Forces Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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)
Viscous Force: 0.0504 Kilonewton --> 50.4 Newton (Check conversion here)
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

ρ_fluid = (F_i*μ_viscosity)/(F_v*V_f*L) --> (3636*1.02)/(50.4*20*3)

Evaluating ... ...

ρ_fluid = 1.22642857142857

STEP 3: Convert Result to Output's Unit

1.22642857142857 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

1.22642857142857 ≈ 1.226429 Kilogram per Cubic Meter <-- Density of Fluid

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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

Density of Fluid for Ratio of Inertial Forces and Viscous Forces Formula

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

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 Density of Fluid for Ratio of Inertial Forces and Viscous Forces?

Density of Fluid for Ratio of Inertial Forces and Viscous Forces calculator uses Density of Fluid = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Velocity of Fluid*Characteristic length) to calculate the Density of Fluid, The Density of Fluid for Ratio of Inertial Forces and Viscous Forces formula is defined as the ratio of the mass of the fluid to its volume. Density of Fluid is denoted by ρ_fluid symbol.

How to calculate Density of Fluid for Ratio of Inertial Forces and Viscous Forces using this online calculator? To use this online calculator for Density of Fluid for Ratio of Inertial Forces and Viscous Forces, enter Inertia Forces (F_i), Dynamic Viscosity (μ_viscosity), Viscous Force (F_v), Velocity of Fluid (V_f) & Characteristic length (L) and hit the calculate button. Here is how the Density of Fluid for Ratio of Inertial Forces and Viscous Forces calculation can be explained with given input values -> 1.226429 = (3636*1.02)/(50.4*20*3).

FAQ

What is Density of Fluid for Ratio of Inertial Forces and Viscous Forces?

The Density of Fluid for Ratio of Inertial Forces and Viscous Forces formula is defined as the ratio of the mass of the fluid to its volume and is represented as ρ_fluid = (F_i*μ_viscosity)/(F_v*V_f*L) or Density of Fluid = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*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, Viscous Force is force due to viscosity, 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 Density of Fluid for Ratio of Inertial Forces and Viscous Forces?

The Density of Fluid for Ratio of Inertial Forces and Viscous Forces formula is defined as the ratio of the mass of the fluid to its volume is calculated using Density of Fluid = (Inertia Forces*Dynamic Viscosity)/(Viscous Force*Velocity of Fluid*Characteristic length). To calculate Density of Fluid for Ratio of Inertial Forces and Viscous Forces, you need Inertia Forces (F_i), Dynamic Viscosity (μ_viscosity), Viscous Force (F_v), Velocity of Fluid (V_f) & Characteristic length (L). With our tool, you need to enter the respective value for Inertia Forces, Dynamic Viscosity, Viscous Force, 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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