Newton's Law of Cooling Calculator

✖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.ⓘ Heat Transfer Coefficient [h_t]			+10% -10%
✖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.ⓘ Surface Temperature [T_w]			+10% -10%
✖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.ⓘ Temperature of Characteristic Fluid [T_f]			+10% -10%

✖The Heat Flux is the rate of thermal energy transfer per unit area, indicating how much heat is flowing through a surface in a given time.ⓘ Newton's Law of Cooling [q]

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Newton's Law of Cooling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
q = h_t*(T_w-T_f)
This formula uses 4 Variables

Variables Used

Heat Flux - (Measured in Watt per Square Meter) - The Heat Flux is the rate of thermal energy transfer per unit area, indicating how much heat is flowing through a surface in a given time.
Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - 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.
Surface Temperature - (Measured in Kelvin) - 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.
Temperature of Characteristic Fluid - (Measured in Kelvin) - 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.

STEP 1: Convert Input(s) to Base Unit

Heat Transfer Coefficient: 13.2 Watt per Square Meter per Kelvin --> 13.2 Watt per Square Meter per Kelvin No Conversion Required
Surface Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Temperature of Characteristic Fluid: 299.113636 Kelvin --> 299.113636 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = h_t*(T_w-T_f) --> 13.2*(305-299.113636)

Evaluating ... ...

q = 77.7000048000002

STEP 3: Convert Result to Output's Unit

77.7000048000002 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

77.7000048000002 ≈ 77.7 Watt per Square Meter <-- Heat Flux

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Heat Transfer from Extended Surfaces (Fins) Calculators

Heat Dissipation from Fin Insulated at End Tip

LaTeX Go Fin Heat Transfer Rate = (sqrt((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)))*(Surface Temperature-Surrounding Temperature)*tanh((sqrt((Perimeter of Fin*Heat Transfer Coefficient)/(Thermal Conductivity of Fin*Cross Sectional Area)))*Length of Fin)

Heat Dissipation from Infinitely Long Fin

LaTeX Go Fin Heat Transfer Rate = ((Perimeter of Fin*Heat Transfer Coefficient*Thermal Conductivity of Fin*Cross Sectional Area)^0.5)*(Surface Temperature-Surrounding Temperature)

Newton's Law of Cooling

Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)

Biot Number using Characteristic Length

LaTeX Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)

< Factors of Thermodynamics Calculators

Average Speed of Gases

Go Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass))

Molar Mass of Gas given Average Speed of Gas

Go Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2)

Degree of Freedom given Equipartition Energy

Go Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B)

Absolute Humidity

Go Absolute Humidity = Weight/Volume of Gas

< Heat Transfer from Extended Surfaces (Fins), Critical Thickness of Insulation and Thermal Resistance Calculators

Biot Number using Characteristic Length

LaTeX Go Biot Number = (Heat Transfer Coefficient*Characteristic Length)/(Thermal Conductivity of Fin)

Correction Length for Cylindrical Fin with Non-Adiabatic Tip

LaTeX Go Correction Length for Cylindrical Fin = Length of Fin+(Diameter of Cylindrical Fin/4)

Correction Length for Thin Rectangular Fin with Non-Adiabatic Tip

LaTeX Go Correction Length for Thin Rectangular Fin = Length of Fin+(Thickness of Fin/2)

Correction Length for Square Fin with Non-Adiabatic Tip

LaTeX Go Correction Length for Sqaure Fin = Length of Fin+(Width of Fin/4)

< Conduction, Convection and Radiation Calculators

Heat Exchange by Radiation due to Geometric Arrangement

Go Heat Flux = Emissivity*Cross Sectional Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))

Heat Transfer According to Fourier's Law

Go Heat Flow Through a Body = -(Thermal Conductivity of Fin*Surface Area of Heat Flow*Temperature Difference/Thickness of The Body)

Convective Processes Heat Transfer Coefficient

Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery Temperature)

Thermal Resistance in Convection Heat Transfer

Go Thermal Resistance = 1/(Exposed Surface Area*Coefficient of Convective Heat Transfer)

< Fundamental of Heat Transfer Calculators

Heat Transfer According to Fourier's Law

Go Heat Flow Through a Body = -(Thermal Conductivity of Fin*Surface Area of Heat Flow*Temperature Difference/Thickness of The Body)

Newton's Law of Cooling

Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)

Heat Flux

LaTeX Go Heat Flux = Thermal Conductivity of Fin*Temperature of Conductor/Length of Conductor

Heat Transfer

Go Heat Flow Through a Body = Thermal Potential Difference/Thermal Resistance

Newton's Law of Cooling Formula

Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
q = h_t*(T_w-T_f)

Define newton's law of cooling?

Newton’s law of cooling describes the rate at which an exposed body changes temperature through radiation which is approximately proportional to the difference between the object’s temperature and its surroundings, provided the difference is small

How to Calculate Newton's Law of Cooling?

Newton's Law of Cooling calculator uses Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid) to calculate 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 temperature of its surroundings, illustrating the relationship between the temperature difference and the cooling rate. Heat Flux is denoted by q symbol.

How to calculate Newton's Law of Cooling using this online calculator? To use this online calculator 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. Here is how the Newton's Law of Cooling calculation can be explained with given input values -> 77.70048 = 13.2*(305-299.113636).

FAQ

What is Newton's Law of Cooling?

Newton's Law of Cooling formula is defined as a principle that describes the rate at which an exposed body cools down to the temperature of its surroundings, illustrating the relationship between the temperature difference and the cooling rate and is represented as q = h_t*(T_w-T_f) or Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid). 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, 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 & 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.

How to calculate Newton's Law of Cooling?

Newton's Law of Cooling formula is defined as a principle that describes the rate at which an exposed body cools down to the temperature of its surroundings, illustrating the relationship between the temperature difference and the cooling rate is calculated using Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid). To calculate Newton's Law of Cooling, you need Heat Transfer Coefficient (h_t), Surface Temperature (T_w) & Temperature of Characteristic Fluid (T_f). With our tool, you need to enter the respective value for Heat Transfer Coefficient, Surface Temperature & Temperature of Characteristic Fluid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Heat Flux?

In this formula, Heat Flux uses Heat Transfer Coefficient, Surface Temperature & Temperature of Characteristic Fluid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Heat Flux = Emissivity*Cross Sectional Area*[Stefan-BoltZ]*Shape Factor*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))
Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Recovery Temperature)
Heat Flux = Emissivity*[Stefan-BoltZ]*Cross Sectional Area*(Temperature of Surface 1^(4)-Temperature of Surface 2^(4))

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