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Graetz Number given System properties Formula

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Graetz number is used in determining the thermally developing flow entrance length in ducts. Check FAQs

Gr = \frac{D \cdot L c \cdot V c \cdot ρ \cdot c}{k \cdot L}

Gr - Graetz Number?D - Diameter?L_c - Characteristic Length?V_c - Characteristic Speed?ρ - Mass Density?c - Specific Heat Capacity?k - Thermal Conductivity?L - Length?

Graetz Number given System properties Example

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Here is how the Graetz Number given System properties equation looks like with Values.

Here is how the Graetz Number given System properties equation looks like with Units.

Here is how the Graetz Number given System properties equation looks like.

9.4E+6 = \frac{0.6857 \cdot 9.9 \cdot 10.115 \cdot 997 \cdot 4.184}{10.18 \cdot 3}

9.4E+6 = \frac{0.6857m \cdot 9.9m \cdot 10.115m/s \cdot 997kg/m³ \cdot 4.184kJ/kg*K}{10.18W/(m*K) \cdot 3m}

9.4E+6 = \frac{0.6857 \cdot 9.9 \cdot 10.115 \cdot 997 \cdot 4.184}{10.18 \cdot 3}

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Home » Physics » Mechanical » Heat and Mass Transfer » Graetz Number given System properties

Graetz Number given System properties Solution

Follow our step by step solution on how to calculate Graetz Number given System properties?

FIRST Step Consider the formula

Gr = \frac{D \cdot L c \cdot V c \cdot ρ \cdot c}{k \cdot L}

Next Step Substitute values of Variables

∴

Gr = \frac{0.6857m \cdot 9.9m \cdot 10.115m/s \cdot 997kg/m³ \cdot 4.184kJ/kg*K}{10.18W/(m*K) \cdot 3m}

Next Step Convert Units

∴

Gr = \frac{0.6857m \cdot 9.9m \cdot 10.115m/s \cdot 997kg/m³ \cdot 4184J/(kg*K)}{10.18W/(m*K) \cdot 3m}

Next Step Prepare to Evaluate

∴

Gr = \frac{0.6857 \cdot 9.9 \cdot 10.115 \cdot 997 \cdot 4184}{10.18 \cdot 3}

Next Step Evaluate

∴

Gr = 9379115.83490181

LAST Step Rounding Answer

∴

Gr = 9.4E+6

Graetz Number given System properties Formula Elements

Variables

Graetz Number

Graetz number is used in determining the thermally developing flow entrance length in ducts.

Symbol: Gr

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Diameter

Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Characteristic Length

Characteristic Length is a length scale used in fluid dynamics, heat transfer, and other fields of engineering and physics to define a dimension that characterizes the size of an object or system.

Symbol: L_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Characteristic Speed

Characteristic Speed is a physical quantity characterizing the average speed of motion of particles inside a single body or a particle system at rest.

Symbol: V_c

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Mass Density

Mass Density is a physical quantity that represents the mass of a substance per unit volume.

Symbol: ρ

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value should be greater than 0.

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.

Thermal Conductivity

Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.

Symbol: k

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Length

Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Credits

Created by Prasana Kannan

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai

Prasana Kannan has created this Formula and 25+ more formulas!

Verified by Varun Krishna Kaki

Mahatma Gandhi Institute of Technology (MGIT), Hyderabad

Varun Krishna Kaki has verified this Formula and 10+ more formulas!

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How to Evaluate Graetz Number given System properties?

Graetz Number given System properties evaluator uses Graetz Number = (Diameter*Characteristic Length*Characteristic Speed*Mass Density*Specific Heat Capacity)/(Thermal Conductivity*Length) to evaluate the Graetz Number, Graetz Number given System properties is a dimensionless number that characterizes heat transfer in duct flow. It is used to analyze the thermal development of fluid flows inside pipes or channels. The Graetz number is particularly important in the study of heat exchangers and microfluidic systems. Graetz Number is denoted by Gr symbol.

How to evaluate Graetz Number given System properties using this online evaluator? To use this online evaluator for Graetz Number given System properties, enter Diameter (D), Characteristic Length (L_c), Characteristic Speed (V_c), Mass Density (ρ), Specific Heat Capacity (c), Thermal Conductivity (k) & Length (L) and hit the calculate button.

FAQs on Graetz Number given System properties

What is the formula to find Graetz Number given System properties?

The formula of Graetz Number given System properties is expressed as Graetz Number = (Diameter*Characteristic Length*Characteristic Speed*Mass Density*Specific Heat Capacity)/(Thermal Conductivity*Length). Here is an example- 1.4E+8 = (0.685714*9.9*10.115*997*4184)/(10.18*3).

How to calculate Graetz Number given System properties?

With Diameter (D), Characteristic Length (L_c), Characteristic Speed (V_c), Mass Density (ρ), Specific Heat Capacity (c), Thermal Conductivity (k) & Length (L) we can find Graetz Number given System properties using the formula - Graetz Number = (Diameter*Characteristic Length*Characteristic Speed*Mass Density*Specific Heat Capacity)/(Thermal Conductivity*Length).

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Graetz Number given System properties Formula

Graetz Number given System properties Example

Graetz Number given System properties Solution

Graetz Number given System properties Formula Elements

Credits

Other formulas in Graetz and Grashof Number category

How to Evaluate Graetz Number given System properties?

FAQs on Graetz Number given System properties

Variable Name