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Average temperature difference between plate and fluid Formula

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Average temperature difference is the the average value of temperature difference between two values. Check FAQs

δT avg = \frac{(q' \cdot \frac{L}{k})}{0.679 \cdot ({ReL}^{0.5}) \cdot ({Pr}^{0.333})}

δT_avg - Average Temperature Difference?q' - Heat Flux?L - Distance L?k - Thermal Conductivity?ReL - Reynolds Number at Location L?Pr - Prandtl Number?

Average temperature difference between plate and fluid Example

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Here is how the Average temperature difference between plate and fluid equation looks like with Values.

Here is how the Average temperature difference between plate and fluid equation looks like with Units.

Here is how the Average temperature difference between plate and fluid equation looks like.

16.0738 = \frac{(400 \cdot \frac{0.39}{10.18})}{0.679 \cdot ({2.5}^{0.5}) \cdot ({0.7}^{0.333})}

16.0738 = \frac{(400W/m² \cdot \frac{0.39m}{10.18W/(m*K)})}{0.679 \cdot ({2.5}^{0.5}) \cdot ({0.7}^{0.333})}

16.0738 = \frac{(400 \cdot \frac{0.39}{10.18})}{0.679 \cdot ({2.5}^{0.5}) \cdot ({0.7}^{0.333})}

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Average temperature difference between plate and fluid Solution

Follow our step by step solution on how to calculate Average temperature difference between plate and fluid?

FIRST Step Consider the formula

δT avg = \frac{(q' \cdot \frac{L}{k})}{0.679 \cdot ({ReL}^{0.5}) \cdot ({Pr}^{0.333})}

Next Step Substitute values of Variables

∴

δT avg = \frac{(400W/m² \cdot \frac{0.39m}{10.18W/(m*K)})}{0.679 \cdot ({2.5}^{0.5}) \cdot ({0.7}^{0.333})}

Next Step Prepare to Evaluate

∴

δT avg = \frac{(400 \cdot \frac{0.39}{10.18})}{0.679 \cdot ({2.5}^{0.5}) \cdot ({0.7}^{0.333})}

Next Step Evaluate

∴

δT avg = 16.0738308727467

LAST Step Rounding Answer

∴

δT avg = 16.0738

Average temperature difference between plate and fluid Formula Elements

Variables

Average Temperature Difference

Average temperature difference is the the average value of temperature difference between two values.

Symbol: δT_avg

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Average Temperature Difference

Heat Flux

Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q".

Symbol: q'

Measurement: Heat Flux DensityUnit: W/m²

Note: Value can be positive or negative.

Formulas to find Heat Flux

Distance L

Distance L is the distance from the leading edge.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance L

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.

Formulas to find Thermal Conductivity

Reynolds Number at Location L

Reynolds number at location L is denoted by the symbol ReL. It is used to determine the type of flow pattern as laminar or turbulent while flowing through a pipe.

Symbol: ReL

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reynolds Number at Location L

Prandtl Number

The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

Symbol: Pr

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Prandtl Number

Other formulas in Laminar Flow category

Go Hydrodynamic boundary layer thickness at distance X from leading edge

𝛿hx = 5 \cdot x \cdot {Re x}^{- 0.5}

Go Thermal boundary layer thickness at distance X from leading edge

𝛿Tx = 𝛿hx \cdot {Pr}^{- 0.333}

Go Displacement thickness

𝛿 d = \frac{𝛿hx}{3}

Go Momentum thickness

θ = \frac{𝛿hx}{7}

How to Evaluate Average temperature difference between plate and fluid?

Average temperature difference between plate and fluid evaluator uses Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333)) to evaluate the Average Temperature Difference, Average temperature difference between plate and fluid formula is defined as a measure of the average temperature difference between the plate and the fluid flowing over it, which is a critical parameter in understanding the heat transfer phenomenon in various engineering applications, particularly in flow over flat plates. Average Temperature Difference is denoted by δT_avg symbol.

How to evaluate Average temperature difference between plate and fluid using this online evaluator? To use this online evaluator for Average temperature difference between plate and fluid, enter Heat Flux (q'), Distance L (L), Thermal Conductivity (k), Reynolds Number at Location L (ReL) & Prandtl Number (Pr) and hit the calculate button.

FAQs on Average temperature difference between plate and fluid

What is the formula to find Average temperature difference between plate and fluid?

The formula of Average temperature difference between plate and fluid is expressed as Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333)). Here is an example- 16.07383 = ((400*0.39/10.18))/(0.679*(2.5^0.5)*(0.7^0.333)).

How to calculate Average temperature difference between plate and fluid?

With Heat Flux (q'), Distance L (L), Thermal Conductivity (k), Reynolds Number at Location L (ReL) & Prandtl Number (Pr) we can find Average temperature difference between plate and fluid using the formula - Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333)).

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Average temperature difference between plate and fluid Formula

Average temperature difference between plate and fluid Example

Average temperature difference between plate and fluid Solution

Average temperature difference between plate and fluid Formula Elements

Other formulas in Laminar Flow category

How to Evaluate Average temperature difference between plate and fluid?

FAQs on Average temperature difference between plate and fluid

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