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Newton's Law of Cooling Formula

GoOne Dimensional Heat Flux Formula

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The Heat Flux is the rate of thermal energy transfer per unit area, indicating how much heat is being transferred through a surface in a given time. Check FAQs

q = h t \cdot (T w - T f)

q - Heat Flux?h_t - Heat Transfer Coefficient?T_w - Surface Temperature?T_f - Temperature of Characteristic Fluid?

Newton's Law of Cooling Example

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Here is how the Newton's Law of Cooling equation looks like with Values.

Here is how the Newton's Law of Cooling equation looks like with Units.

Here is how the Newton's Law of Cooling equation looks like.

77.7 = 13.2 \cdot (305 - 299.1136)

77.7W/m² = 13.2W/m²*K \cdot (305K - 299.1136K)

77.7 = 13.2 \cdot (305 - 299.1136)

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Newton's Law of Cooling Solution

Follow our step by step solution on how to calculate Newton's Law of Cooling?

FIRST Step Consider the formula

q = h t \cdot (T w - T f)

Next Step Substitute values of Variables

∴

q = 13.2W/m²*K \cdot (305K - 299.1136K)

Next Step Prepare to Evaluate

∴

q = 13.2 \cdot (305 - 299.1136)

Next Step Evaluate

∴

q = 77.7000048000002W/m²

LAST Step Rounding Answer

∴

q = 77.7W/m²

Newton's Law of Cooling Formula Elements

Variables

Heat Flux

The Heat Flux is the rate of thermal energy transfer per unit area, indicating how much heat is being transferred through a surface in a given time.

Symbol: q

Measurement: Heat Flux DensityUnit: W/m²

Note: Value can be positive or negative.

Formulas to find Heat Flux

Heat Transfer Coefficient

The Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.

Symbol: h_t

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value can be positive or negative.

Formulas to find Heat Transfer Coefficient

Surface Temperature

The Surface Temperature is the temperature of a surface that affects heat transfer through conduction, convection, and radiation in thermodynamic processes.

Symbol: T_w

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Surface Temperature

Temperature of Characteristic Fluid

The Temperature of Characteristic Fluid is the specific temperature of a fluid that influences heat transfer processes in conduction, convection, and radiation applications.

Symbol: T_f

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Characteristic Fluid

Other Formulas to find Heat Flux

Go One Dimensional Heat Flux

q = - \frac{k o}{t} \cdot (T w2 - T w1)

Other formulas in Heat Transfer from Extended Surfaces (Fins) category

Go Heat Flux

q = k o \cdot \frac{T}{l}

Go Heat Transfer

Q c = \frac{T vd}{R th}

Go Heat Transfer According to Fourier's Law

Q c = - (k o \cdot A s \cdot \frac{ΔT}{L})

Go Total Thermal Resistance for Conduction through Three Resistances in Series

R se = R 1 + R 2 + R 3

How to Evaluate Newton's Law of Cooling?

Newton's Law of Cooling evaluator uses Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid) to evaluate the Heat Flux, Newton's Law of Cooling formula is defined as a principle that describes the rate at which an exposed body cools down to the ambient temperature, emphasizing the relationship between the temperature difference and the heat transfer rate. Heat Flux is denoted by q symbol.

How to evaluate Newton's Law of Cooling using this online evaluator? To use this online evaluator for Newton's Law of Cooling, enter Heat Transfer Coefficient (h_t), Surface Temperature (T_w) & Temperature of Characteristic Fluid (T_f) and hit the calculate button.

FAQs on Newton's Law of Cooling

What is the formula to find Newton's Law of Cooling?

The formula of Newton's Law of Cooling is expressed as Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid). Here is an example- 77.70048 = 13.2*(305-299.113636).

How to calculate Newton's Law of Cooling?

With Heat Transfer Coefficient (h_t), Surface Temperature (T_w) & Temperature of Characteristic Fluid (T_f) we can find Newton's Law of Cooling using the formula - Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid).

What are the other ways to Calculate Heat Flux?

Here are the different ways to Calculate Heat Flux-

Heat Flux=-Thermal Conductivity of Fin/Wall Thickness*(Temperature of Wall 2-Temperature of Wall 1)

Can the Newton's Law of Cooling be negative?

Yes, the Newton's Law of Cooling, measured in Heat Flux Density can be negative.

Which unit is used to measure Newton's Law of Cooling?

Newton's Law of Cooling is usually measured using the Watt per Square Meter[W/m²] for Heat Flux Density. Kilowatt per Square Meter[W/m²], Watt per Square Centimeter[W/m²], Watt per Square Inch[W/m²] are the few other units in which Newton's Law of Cooling can be measured.

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Newton's Law of Cooling Formula

​GoOne Dimensional Heat Flux Formula

Newton's Law of Cooling Example

Newton's Law of Cooling Solution

Newton's Law of Cooling Formula Elements

Other Formulas to find Heat Flux

Other formulas in Heat Transfer from Extended Surfaces (Fins) category

How to Evaluate Newton's Law of Cooling?

FAQs on Newton's Law of Cooling

Variable Name

GoOne Dimensional Heat Flux Formula