Static Density at Transition Point Calculator

✖The Transition Reynolds Number is a dimensionless quantity that characterizes the transition from laminar to turbulent flow over a flat plate in hypersonic conditions.ⓘ Transition Reynolds Number [Ret]			+10% -10%
✖The Static Viscosity is a measure of a fluid's resistance to flow and deformation under shear stress, particularly relevant in hypersonic transition scenarios.ⓘ Static Viscosity [μe]			+10% -10%
✖The Static Velocity is the velocity of a fluid at a specific point in a flow field, measured relative to the surrounding fluid at rest.ⓘ Static Velocity [u_e]			+10% -10%
✖The Location Transition Point is the specific position on a flat plate where the flow transitions from laminar to hypersonic, affecting the behavior of viscous flow.ⓘ Location Transition Point [xt]			+10% -10%

✖The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in hypersonic flow conditions.ⓘ Static Density at Transition Point [ρ_e]

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Static Density at Transition Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Density = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Location Transition Point)
ρ_e = (Ret*μe)/(u_e*xt)
This formula uses 5 Variables

Variables Used

Static Density - (Measured in Kilogram per Cubic Meter) - The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in hypersonic flow conditions.
Transition Reynolds Number - The Transition Reynolds Number is a dimensionless quantity that characterizes the transition from laminar to turbulent flow over a flat plate in hypersonic conditions.
Static Viscosity - (Measured in Pascal Second) - The Static Viscosity is a measure of a fluid's resistance to flow and deformation under shear stress, particularly relevant in hypersonic transition scenarios.
Static Velocity - (Measured in Meter per Second) - The Static Velocity is the velocity of a fluid at a specific point in a flow field, measured relative to the surrounding fluid at rest.
Location Transition Point - (Measured in Meter) - The Location Transition Point is the specific position on a flat plate where the flow transitions from laminar to hypersonic, affecting the behavior of viscous flow.

STEP 1: Convert Input(s) to Base Unit

Transition Reynolds Number: 2500 --> No Conversion Required
Static Viscosity: 11.2 Poise --> 1.12 Pascal Second (Check conversion here)
Static Velocity: 8.8 Meter per Second --> 8.8 Meter per Second No Conversion Required
Location Transition Point: 3.236845 Meter --> 3.236845 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_e = (Ret*μe)/(u_e*xt) --> (2500*1.12)/(8.8*3.236845)

Evaluating ... ...

ρ_e = 98.2999859992734

STEP 3: Convert Result to Output's Unit

98.2999859992734 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

98.2999859992734 ≈ 98.29999 Kilogram per Cubic Meter <-- Static Density

(Calculation completed in 00.020 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< Hypersonic Transition Calculators

Static Velocity at Transition Point

LaTeX Go Static Velocity = (Transition Reynolds Number*Static Viscosity)/(Static Density*Location Transition Point)

Static Density at Transition Point

LaTeX Go Static Density = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Location Transition Point)

Location of Transition Point

LaTeX Go Location Transition Point = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Static Density)

Transition Reynolds Number

LaTeX Go Transition Reynolds Number = (Static Density*Static Velocity*Location Transition Point)/Static Viscosity

Static Density at Transition Point Formula

LaTeX Go

Static Density = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Location Transition Point)
ρ_e = (Ret*μe)/(u_e*xt)

What is Transition Reynolds Number?

Transitional or transient flow is the phase of flow that occurs between laminar and turbulent flow and corresponds to Reynolds numbers that land between 2300 and 4000. In this type of flow, there is a mixture of laminar and turbulent flows present.

How to Calculate Static Density at Transition Point?

Static Density at Transition Point calculator uses Static Density = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Location Transition Point) to calculate the Static Density, Static Density at Transition Point formula is defined as a measure of the density of a fluid at the point of transition from laminar to turbulent flow in a flat plate for viscous flow case, which is an important parameter in understanding the behavior of fluids in various engineering applications. Static Density is denoted by ρ_e symbol.

How to calculate Static Density at Transition Point using this online calculator? To use this online calculator for Static Density at Transition Point, enter Transition Reynolds Number (Ret), Static Viscosity (μe), Static Velocity (u_e) & Location Transition Point (xt) and hit the calculate button. Here is how the Static Density at Transition Point calculation can be explained with given input values -> 26.51515 = (2500*1.12)/(8.8*3.236845).

FAQ

What is Static Density at Transition Point?

Static Density at Transition Point formula is defined as a measure of the density of a fluid at the point of transition from laminar to turbulent flow in a flat plate for viscous flow case, which is an important parameter in understanding the behavior of fluids in various engineering applications and is represented as ρ_e = (Ret*μe)/(u_e*xt) or Static Density = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Location Transition Point). The Transition Reynolds Number is a dimensionless quantity that characterizes the transition from laminar to turbulent flow over a flat plate in hypersonic conditions, The Static Viscosity is a measure of a fluid's resistance to flow and deformation under shear stress, particularly relevant in hypersonic transition scenarios, The Static Velocity is the velocity of a fluid at a specific point in a flow field, measured relative to the surrounding fluid at rest & The Location Transition Point is the specific position on a flat plate where the flow transitions from laminar to hypersonic, affecting the behavior of viscous flow.

How to calculate Static Density at Transition Point?

Static Density at Transition Point formula is defined as a measure of the density of a fluid at the point of transition from laminar to turbulent flow in a flat plate for viscous flow case, which is an important parameter in understanding the behavior of fluids in various engineering applications is calculated using Static Density = (Transition Reynolds Number*Static Viscosity)/(Static Velocity*Location Transition Point). To calculate Static Density at Transition Point, you need Transition Reynolds Number (Ret), Static Viscosity (μe), Static Velocity (u_e) & Location Transition Point (xt). With our tool, you need to enter the respective value for Transition Reynolds Number, Static Viscosity, Static Velocity & Location Transition Point 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 Static Density?

In this formula, Static Density uses Transition Reynolds Number, Static Viscosity, Static Velocity & Location Transition Point. We can use 1 other way(s) to calculate the same, which is/are as follows -

Static Density = (Reynolds Number*Static Viscosity)/(Static Velocity*Boundary-Layer Momentum Thickness for Transition)

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