Velocity given Kinematic Viscosity, 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%
✖Kinematic viscosity for model analysis is a measure of a fluid's internal resistance to flow under gravitational forces.ⓘ Kinematic Viscosity for Model Analysis [ν]			+10% -10%
✖Viscous Force is force due to viscosity.ⓘ Viscous Force [F_v]			+10% -10%
✖Characteristic length is the linear dimension expressed in physical model relationships between prototype and model.ⓘ Characteristic length [L]			+10% -10%

✖Velocity of Fluid is the vector field that is used to describe fluid motion in a mathematical manner.ⓘ Velocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces [V_f]

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

Formula

`"V"_{"f"} = ("F"_{"i"}*"ν")/("F"_{"v"}*"L")`

Example

`"19.998m/s"=("3.636kN"*"0.8316m²/s")/("0.0504kN"*"3m")`

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

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

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Fluid = (Inertia Forces*Kinematic Viscosity for Model Analysis)/(Viscous Force*Characteristic length)
V_f = (F_i*ν)/(F_v*L)
This formula uses 5 Variables

Variables Used

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.
Inertia Forces - (Measured in Newton) - Inertia Forces are the forces that keep fluid moving against viscous [ viscosity] forces.
Kinematic Viscosity for Model Analysis - (Measured in Square Meter per Second) - Kinematic viscosity for model analysis is a measure of a fluid's internal resistance to flow under gravitational forces.
Viscous Force - (Measured in Newton) - Viscous Force is force due to viscosity.
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)
Kinematic Viscosity for Model Analysis: 0.8316 Square Meter per Second --> 0.8316 Square Meter per Second No Conversion Required
Viscous Force: 0.0504 Kilonewton --> 50.4 Newton (Check conversion here)
Characteristic length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = (F_i*ν)/(F_v*L) --> (3636*0.8316)/(50.4*3)

Evaluating ... ...

V_f = 19.998

STEP 3: Convert Result to Output's Unit

19.998 Meter per Second --> No Conversion Required

FINAL ANSWER

19.998 Meter per Second <-- Velocity of Fluid

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Offshore Hydromechanics » Dimensionless Ratios and Scaling Laws » Relation between Forces on the Prototype and Forces on the Model » Velocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces

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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

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

Velocity of Fluid = (Inertia Forces*Kinematic Viscosity for Model Analysis)/(Viscous Force*Characteristic length)
V_f = (F_i*ν)/(F_v*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 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 Velocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces?

Velocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces calculator uses Velocity of Fluid = (Inertia Forces*Kinematic Viscosity for Model Analysis)/(Viscous Force*Characteristic length) to calculate the Velocity of Fluid, The Velocity given Kinematic Viscosity, 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. Velocity of Fluid is denoted by V_f symbol.

How to calculate Velocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces using this online calculator? To use this online calculator for Velocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces, enter Inertia Forces (F_i), Kinematic Viscosity for Model Analysis (ν), Viscous Force (F_v) & Characteristic length (L) and hit the calculate button. Here is how the Velocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces calculation can be explained with given input values -> 19.998 = (3636*0.8316)/(50.4*3).

FAQ

What is Velocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces?

The Velocity given Kinematic Viscosity, 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 V_f = (F_i*ν)/(F_v*L) or Velocity of Fluid = (Inertia Forces*Kinematic Viscosity for Model Analysis)/(Viscous Force*Characteristic length). Inertia Forces are the forces that keep fluid moving against viscous [ viscosity] forces, Kinematic viscosity for model analysis is a measure of a fluid's internal resistance to flow under gravitational forces, Viscous Force is force due to viscosity & Characteristic length is the linear dimension expressed in physical model relationships between prototype and model.

How to calculate Velocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces?

The Velocity given Kinematic Viscosity, 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 Velocity of Fluid = (Inertia Forces*Kinematic Viscosity for Model Analysis)/(Viscous Force*Characteristic length). To calculate Velocity given Kinematic Viscosity, Ratio of Inertial Forces and Viscous Forces, you need Inertia Forces (F_i), Kinematic Viscosity for Model Analysis (ν), Viscous Force (F_v) & Characteristic length (L). With our tool, you need to enter the respective value for Inertia Forces, Kinematic Viscosity for Model Analysis, Viscous Force & Characteristic length 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 Velocity of Fluid?

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

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

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