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Eckert Number Formula

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Eckert Number is a dimensionless number used in continuum mechanics. It expresses the relationship between a flow's kinetic energy and the boundary layer enthalpy difference. Check FAQs

Ec = \frac{{V f}^{2}}{c \cdot ΔT}

Ec - Eckert Number?V_f - Flow Velocity?c - Specific Heat Capacity?ΔT - Temperature Difference?

Eckert Number Example

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With units

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Here is how the Eckert Number equation looks like with Values.

Here is how the Eckert Number equation looks like with Units.

Here is how the Eckert Number equation looks like.

0.0009 = \frac{{10.5}^{2}}{4.184 \cdot 29}

0.0009 = \frac{{10.5m/s}^{2}}{4.184kJ/kg*K \cdot 29K}

0.0009 = \frac{{10.5}^{2}}{4.184 \cdot 29}

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Eckert Number Solution

Follow our step by step solution on how to calculate Eckert Number?

FIRST Step Consider the formula

Ec = \frac{{V f}^{2}}{c \cdot ΔT}

Next Step Substitute values of Variables

∴

Ec = \frac{{10.5m/s}^{2}}{4.184kJ/kg*K \cdot 29K}

Next Step Convert Units

∴

Ec = \frac{{10.5m/s}^{2}}{4184J/(kg*K) \cdot 29K}

Next Step Prepare to Evaluate

∴

Ec = \frac{{10.5}^{2}}{4184 \cdot 29}

Next Step Evaluate

∴

Ec = 0.000908633876178546

LAST Step Rounding Answer

∴

Ec = 0.0009

Eckert Number Formula Elements

Variables

Eckert Number

Eckert Number is a dimensionless number used in continuum mechanics. It expresses the relationship between a flow's kinetic energy and the boundary layer enthalpy difference.

Symbol: Ec

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Eckert Number

Flow Velocity

Flow Velocity is the velocity of fluids at a certain time and position and is referred to as the flow speed.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flow Velocity

Specific Heat Capacity

Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.

Symbol: c

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity

Temperature Difference

Temperature Difference is the measure of the hotness or the coldness of an object.

Symbol: ΔT

Measurement: Temperature DifferenceUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature Difference

Other formulas in Dimensionless Numbers category

Go Internal conduction resistance given biot number

R i = Bi \cdot R sc

Go Surface convection resistance

R sc = \frac{R i}{Bi}

How to Evaluate Eckert Number?

Eckert Number evaluator uses Eckert Number = Flow Velocity^2/(Specific Heat Capacity*Temperature Difference) to evaluate the Eckert Number, Eckert Number is a dimensionless number used in continuum mechanics. It expresses the relationship between a flow's kinetic energy and the boundary layer enthalpy difference and is used to characterize heat transfer dissipation. Eckert Number is denoted by Ec symbol.

How to evaluate Eckert Number using this online evaluator? To use this online evaluator for Eckert Number, enter Flow Velocity (V_f), Specific Heat Capacity (c) & Temperature Difference (ΔT) and hit the calculate button.

FAQs on Eckert Number

What is the formula to find Eckert Number?

The formula of Eckert Number is expressed as Eckert Number = Flow Velocity^2/(Specific Heat Capacity*Temperature Difference). Here is an example- 0.000909 = 10.5^2/(4184*29).

How to calculate Eckert Number?

With Flow Velocity (V_f), Specific Heat Capacity (c) & Temperature Difference (ΔT) we can find Eckert Number using the formula - Eckert Number = Flow Velocity^2/(Specific Heat Capacity*Temperature Difference).

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Eckert Number Formula

Eckert Number Example

Eckert Number Solution

Eckert Number Formula Elements

Other formulas in Dimensionless Numbers category

How to Evaluate Eckert Number?

FAQs on Eckert Number

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