Static Velocity at Transition Point Solution

STEP 0: Pre-Calculation Summary
Formula Used
Static Velocity = (Transition Reynolds Number*Static Viscosity)/(Static Density*Location Transition Point)
ue = (Ret*μe)/(ρe*xt)
This formula uses 5 Variables
Variables Used
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.
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 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.
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 Density: 98.3 Kilogram per Cubic Meter --> 98.3 Kilogram per Cubic Meter No Conversion Required
Location Transition Point: 3.236845 Meter --> 3.236845 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ue = (Ret*μe)/(ρe*xt) --> (2500*1.12)/(98.3*3.236845)
Evaluating ... ...
ue = 8.79999874662875
STEP 3: Convert Result to Output's Unit
8.79999874662875 Meter per Second --> No Conversion Required
FINAL ANSWER
8.79999874662875 8.799999 Meter per Second <-- Static Velocity
(Calculation completed in 00.004 seconds)

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Amrita School of Engineering (ASE), Vallikavu
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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 Velocity at Transition Point Formula

​LaTeX ​Go
Static Velocity = (Transition Reynolds Number*Static Viscosity)/(Static Density*Location Transition Point)
ue = (Ret*μe)/(ρe*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 Velocity at Transition Point?

Static Velocity at Transition Point calculator uses Static Velocity = (Transition Reynolds Number*Static Viscosity)/(Static Density*Location Transition Point) to calculate the Static Velocity, Static Velocity at Transition Point formula is defined as the velocity at which the flow transitions from laminar to turbulent, characterizing the boundary layer behavior on a flat plate in viscous flow, providing insights into the fluid dynamics and heat transfer mechanisms. Static Velocity is denoted by ue symbol.

How to calculate Static Velocity at Transition Point using this online calculator? To use this online calculator for Static Velocity at Transition Point, enter Transition Reynolds Number (Ret), Static Viscosity (μe), Static Density e) & Location Transition Point (xt) and hit the calculate button. Here is how the Static Velocity at Transition Point calculation can be explained with given input values -> 2.373686 = (2500*1.12)/(98.3*3.236845).

FAQ

What is Static Velocity at Transition Point?
Static Velocity at Transition Point formula is defined as the velocity at which the flow transitions from laminar to turbulent, characterizing the boundary layer behavior on a flat plate in viscous flow, providing insights into the fluid dynamics and heat transfer mechanisms and is represented as ue = (Ret*μe)/(ρe*xt) or Static Velocity = (Transition Reynolds Number*Static Viscosity)/(Static Density*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 Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in hypersonic flow conditions & 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 Velocity at Transition Point?
Static Velocity at Transition Point formula is defined as the velocity at which the flow transitions from laminar to turbulent, characterizing the boundary layer behavior on a flat plate in viscous flow, providing insights into the fluid dynamics and heat transfer mechanisms is calculated using Static Velocity = (Transition Reynolds Number*Static Viscosity)/(Static Density*Location Transition Point). To calculate Static Velocity at Transition Point, you need Transition Reynolds Number (Ret), Static Viscosity (μe), Static Density e) & Location Transition Point (xt). With our tool, you need to enter the respective value for Transition Reynolds Number, Static Viscosity, Static Density & 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 Velocity?
In this formula, Static Velocity uses Transition Reynolds Number, Static Viscosity, Static Density & Location Transition Point. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Static Velocity = (Reynolds Number*Static Viscosity)/(Static Density*Boundary-Layer Momentum Thickness for Transition)
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