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Newton's Law of Cooling Formula

GoHeat Flux Formula

GoOne Dimensional Heat Flux Formula

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Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q". 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 = 2.59 \cdot (305 - 275)

77.7W/m² = 2.59W/m²*K \cdot (305K - 275K)

77.7 = 2.59 \cdot (305 - 275)

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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 = 2.59W/m²*K \cdot (305K - 275K)

Next Step Prepare to Evaluate

∴

q = 2.59 \cdot (305 - 275)

LAST Step Evaluate

∴

q = 77.7W/m²

Newton's Law of Cooling Formula Elements

Variables

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

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

Surface Temperature is the temperature at or near a surface. Specifically, it may refer to as Surface air temperature, the temperature of the air near the surface of the earth.

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 temperature of fluid flowing over the surface due to which heat transfer takes place between the surface and the characteristic fluid.

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 Heat Flux

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

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 Transfer

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

Go Heat Transfer According to Fourier's Law

Q c = - (k \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

Go Total Thermal Resistance for Conduction through Two Resistances in Series

R th = R 1 + R 2

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 states that the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its surroundings. 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- 396 = 2.59*(305-275).

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*Temperature of Conductor/Length of Conductor
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

​GoHeat Flux 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

GoHeat Flux Formula

GoOne Dimensional Heat Flux Formula