Static Viscosity Relation using Temperature of Wall Calculator

✖The Dynamic Viscosity is the measure of a fluid's resistance to shear stress, affecting the boundary layer's behavior in hypersonic flow conditions.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖The Wall Temperature is the temperature at the surface of the wall in a hypersonic flow, which affects the flow's thermal and velocity boundary layers.ⓘ Wall Temperature [Tw]			+10% -10%
✖The Static Temperature is the temperature of the air at a point in the boundary layer, unaffected by the heat generated by friction.ⓘ Static Temperature [T_static]			+10% -10%
✖The Constant n is a dimensionless parameter that characterizes the temperature and velocity profiles in the hypersonic boundary layer flow.ⓘ Constant n [n]			+10% -10%

✖The Static Viscosity is a measure of a fluid's resistance to flow, describing its thickness and stickiness in the hypersonic boundary layer.ⓘ Static Viscosity Relation using Temperature of Wall [μ_e]

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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)
μ_e = μ_viscosity/(Tw/T_static)^(n)
This formula uses 5 Variables

Variables Used

Static Viscosity - (Measured in Pascal Second) - The Static Viscosity is a measure of a fluid's resistance to flow, describing its thickness and stickiness in the hypersonic boundary layer.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity is the measure of a fluid's resistance to shear stress, affecting the boundary layer's behavior in hypersonic flow conditions.
Wall Temperature - (Measured in Kelvin) - The Wall Temperature is the temperature at the surface of the wall in a hypersonic flow, which affects the flow's thermal and velocity boundary layers.
Static Temperature - (Measured in Kelvin) - The Static Temperature is the temperature of the air at a point in the boundary layer, unaffected by the heat generated by friction.
Constant n - The Constant n is a dimensionless parameter that characterizes the temperature and velocity profiles in the hypersonic boundary layer flow.

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

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

Evaluating ... ...

μ_e = 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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Amrita School of Engineering (ASE), Vallikavu

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< Hypersonic Flow Parameters Calculators

Static Velocity Equation using Skin Friction Coefficient

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

Static Density Equation using Skin Friction Coefficient

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

Local Skin-Friction Coefficient

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

Local Shear Stress at Wall

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

Static Viscosity Relation using Temperature of Wall Formula

LaTeX Go

Static Viscosity = Dynamic Viscosity/(Wall Temperature/Static Temperature)^(Constant n)
μ_e = 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 formula is defined as a measure of the dynamic viscosity of a fluid in relation to the temperature of the wall in a hypersonic flow, which is essential in understanding the boundary layer equations and its effects on the flow. Static Viscosity is denoted by μ_e 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 formula is defined as a measure of the dynamic viscosity of a fluid in relation to the temperature of the wall in a hypersonic flow, which is essential in understanding the boundary layer equations and its effects on the flow and is represented as μ_e = μ_viscosity/(Tw/T_static)^(n) or Static Viscosity = Dynamic Viscosity/(Wall Temperature/Static Temperature)^(Constant n). The Dynamic Viscosity is the measure of a fluid's resistance to shear stress, affecting the boundary layer's behavior in hypersonic flow conditions, The Wall Temperature is the temperature at the surface of the wall in a hypersonic flow, which affects the flow's thermal and velocity boundary layers, The Static Temperature is the temperature of the air at a point in the boundary layer, unaffected by the heat generated by friction & The Constant n is a dimensionless parameter that characterizes the temperature and velocity profiles in the hypersonic boundary layer flow.

How to calculate Static Viscosity Relation using Temperature of Wall?

Static Viscosity Relation using Temperature of Wall formula is defined as a measure of the dynamic viscosity of a fluid in relation to the temperature of the wall in a hypersonic flow, which is essential in understanding the boundary layer equations and its effects on the flow 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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