Static Viscosity Relation using Temperature of Wall Calculator

✖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%
✖Wall Temperature is the temperature at the wall.ⓘ Wall Temperature [Tw]			+10% -10%
✖The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing.ⓘ Static Temperature [T_static]			+10% -10%
✖Constant n is the constant used for viscosity and temperature relation.ⓘ Constant n [n]			+10% -10%

✖Static viscosity, is the viscosity of continuous flow, viscosity measures the ratio of the viscous force to the inertial force on the fluid.ⓘ Static Viscosity Relation using Temperature of Wall [μe]

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Formula

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Static Viscosity Relation using Temperature of Wall

Formula

`"μe" = "μ"_{"viscosity"}/("Tw"/"T"_{"static"})^("n")`

Example

`"10.23218P"="10.2P"/("15K"/"350K")^("0.001")`

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Static Viscosity Relation using Temperature of Wall Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Viscosity = Dynamic Viscosity/(Wall Temperature/Static Temperature)^(Constant n)
μe = μ_viscosity/(Tw/T_static)^(n)
This formula uses 5 Variables

Variables Used

Static Viscosity - (Measured in Pascal Second) - Static viscosity, is the viscosity of continuous flow, viscosity measures the ratio of the viscous force to the inertial force on the fluid.
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.
Wall Temperature - (Measured in Kelvin) - Wall Temperature is the temperature at the wall.
Static Temperature - (Measured in Kelvin) - The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing.
Constant n - Constant n is the constant used for viscosity and temperature relation.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Wall Temperature: 15 Kelvin --> 15 Kelvin No Conversion Required
Static Temperature: 350 Kelvin --> 350 Kelvin No Conversion Required
Constant n: 0.001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μe = μ_viscosity/(Tw/T_static)^(n) --> 1.02/(15/350)^(0.001)

Evaluating ... ...

μe = 1.02321794602848

STEP 3: Convert Result to Output's Unit

1.02321794602848 Pascal Second -->10.2321794602848 Poise (Check conversion here)

FINAL ANSWER

10.2321794602848 ≈ 10.23218 Poise <-- Static Viscosity

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Boundary Layer Equations for Hypersonic Flow » Hypersonic Flow Parameters » Static Viscosity Relation using Temperature of Wall

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< 7 Hypersonic Flow Parameters Calculators

Static Velocity Equation using Skin Friction Coefficient

Go Static Velocity = sqrt((2*Shear Stress)/(Local Skin-Friction Coefficient*Static Density))

Static Viscosity Relation using Temperature of Wall

Go Static Viscosity = Dynamic Viscosity/(Wall Temperature/Static Temperature)^(Constant n)

Dynamic Viscosity around Wall

Go Dynamic Viscosity = Static Viscosity*(Wall Temperature/Static Temperature)^(Constant n)

Static Density Equation using Skin Friction Coefficient

Go Static Density = (2*Shear Stress)/(Local Skin-Friction Coefficient*Static Velocity^2)

Local Skin-Friction Coefficient

Go Local Skin-Friction Coefficient = (2*Shear Stress)/(Static Density*Static Velocity^2)

Local Shear Stress at Wall

Go Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Viscosity^2

Skin Friction Coefficient for Incompressible Flow

Go Skin friction coefficient = 0.664/sqrt(Reynolds Number)

Static Viscosity Relation using Temperature of Wall Formula

Static Viscosity = Dynamic Viscosity/(Wall Temperature/Static Temperature)^(Constant n)
μe = μ_viscosity/(Tw/T_static)^(n)

What is viscosity?

Viscosity is a measure of a fluid's resistance to flow. It describes the internal friction of a moving fluid.

How to Calculate Static Viscosity Relation using Temperature of Wall?

Static Viscosity Relation using Temperature of Wall calculator uses Static Viscosity = Dynamic Viscosity/(Wall Temperature/Static Temperature)^(Constant n) to calculate the Static Viscosity, Static Viscosity Relation using Temperature of Wall is defined as the interrelation between static viscosity, wall temperature, and static temperature. Static Viscosity is denoted by μe symbol.

How to calculate Static Viscosity Relation using Temperature of Wall using this online calculator? To use this online calculator for Static Viscosity Relation using Temperature of Wall, enter Dynamic Viscosity (μ_viscosity), Wall Temperature (Tw), Static Temperature (T_static) & Constant n (n) and hit the calculate button. Here is how the Static Viscosity Relation using Temperature of Wall calculation can be explained with given input values -> 102.3218 = 1.02/(15/350)^(0.001).

FAQ

What is Static Viscosity Relation using Temperature of Wall?

Static Viscosity Relation using Temperature of Wall is defined as the interrelation between static viscosity, wall temperature, and static temperature and is represented as μe = μ_viscosity/(Tw/T_static)^(n) or Static Viscosity = Dynamic Viscosity/(Wall Temperature/Static Temperature)^(Constant n). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Wall Temperature is the temperature at the wall, The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing & Constant n is the constant used for viscosity and temperature relation.

How to calculate Static Viscosity Relation using Temperature of Wall?

Static Viscosity Relation using Temperature of Wall is defined as the interrelation between static viscosity, wall temperature, and static temperature is calculated using Static Viscosity = Dynamic Viscosity/(Wall Temperature/Static Temperature)^(Constant n). To calculate Static Viscosity Relation using Temperature of Wall, you need Dynamic Viscosity (μ_viscosity), Wall Temperature (Tw), Static Temperature (T_static) & Constant n (n). With our tool, you need to enter the respective value for Dynamic Viscosity, Wall Temperature, Static Temperature & Constant n 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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