What equation uses h?

Newton's law of cooling commonly uses q = h A DeltaT.

Is W/(m2 K) equivalent to W/(m2 C)?

For temperature differences, yes. Kelvin and Celsius intervals have the same magnitude.

converterbrowser-only

Heat Transfer Coefficient Converter

Convert heat-transfer coefficient units for convection and U-value workflows.

Heat Transfer Coefficient Converter interface

Heat-transfer coefficient value

Enter a non-negative heat-transfer coefficient value.

Number format

Controls display only. Raw conversion values remain unrounded.

Negative heat-transfer coefficient is not valid for ordinary engineering-property conversion.

From unit

To unit

Heat-transfer coefficient conversions are performed locally in your browser and are not submitted to a third-party calculation API.

Result section

okFixed decimal, 6 places

Primary converted value

1 W/(m^2·K) = 0.176110 Btu/(h·ft^2·°F)

Btu per hour square foot Fahrenheit from Watt per square meter kelvin.

Secondary results

Original input: 1 W/(m^2·K)
Base-unit normalization: 1.000000 W/(m^2·K)
Conversion method: 1 W/(m^2·K) = 0.1761101838 Btu/(h·ft^2·°F)

Unit conversion summary

1 W/(m^2·K) = 0.176110 Btu/(h·ft^2·°F)

Reverse conversion: 0.176110 Btu/(h·ft^2·°F) converts back to 1 W/(m^2·K).

Assumptions

W/(m^2·K) is the internal base unit.
Kelvin and Celsius intervals have the same magnitude.

Calculation steps

Validate input and unitsWatt per square meter kelvin to Btu per hour square foot Fahrenheit
Normalize input to watt per square metre kelvin1.000000 W/(m^2·K)
Convert base value to target unit0.176110 Btu/(h·ft^2·°F)
Generate all-unit comparison tableEach row is converted from the same normalized base value.

Heat-transfer coefficient conversion

h_{base}=h_{input}\times F_{from};\quad h_{output}=h_{base}/F_{to}

h_base = h_input x factor_from; h_output = h_base / factor_to.

1 W/(m^2·K) x 1 W/(m^2·K)/W/(m^2·K) = 1.000000 W/(m^2·K)

1.000000 W/(m^2·K) / 5.678263337 W/(m^2·K)/Btu/(h·ft^2·°F) = 0.176110 Btu/(h·ft^2·°F)

All-unit comparison table

Every row is converted from the same normalized base value, not from a rounded display result.

Input heat transfer coefficient converted to all supported units
Unit name	Symbol	Converted value	Group	Status
Watt per square meter kelvin	W/(m^2·K)	1.000000 W/(m^2·K)	SI	source
Watt per square meter degree Celsius	W/(m^2·°C)	1.000000 W/(m^2·°C)	Metric equivalent	comparison
Kilowatt per square meter kelvin	kW/(m^2·K)	0.001000 kW/(m^2·K)	Metric	comparison
Btu per hour square foot Fahrenheit	Btu/(h·ft^2·°F)	0.176110 Btu/(h·ft^2·°F)	Imperial	target
Kilocalorie per hour square meter degree Celsius	kcal/(h·m^2·°C)	0.860421 kcal/(h·m^2·°C)	Metric	comparison

Technical visual

A convection surface diagram relates wall temperature, bulk fluid temperature, surface area, heat flow, and h.

Engineering interpretation

Newton's law of cooling uses q = h A DeltaT.
A convective coefficient and an overall U-value can share units but represent different modeling assumptions.

What is heat-transfer coefficient conversion and how does this Heat Transfer Coefficient Converter work?

A heat-transfer coefficient relates heat flux to a driving temperature difference, commonly through Newton's law of cooling. W/(m^2 K) and imperial area-based units express the same coefficient; converting a supplied value is different from estimating convection coefficient h or overall coefficient U from a physical system.

Heat Transfer Coefficient Converter applies this concept to its defined inputs and workflow. It normalizes to W/(m^2·K) and explains Newton's law of cooling and why the tool does not estimate h. Its governing relationship or workflow is stated as follows: h_base = h_input x factor_from; h_output = h_base / factor_to.

For this conversion, the user supplies Heat-transfer coefficient value, From unit, To unit, and Number format; the tool returns primary conversion, base-unit normalization, conversion method, and reverse statement from the defined scale factors or equations. The selected units and sign or reference conventions must describe one consistent physical case. This converter does not estimate h or U.

How to use the heat transfer coefficient converter

Enter the heat-transfer coefficient value. Scientific notation such as 1e6 is supported.
Choose the source unit and target unit.
Select automatic, fixed-decimal, significant-figure, or scientific display formatting.
Review the primary result, base-unit normalization, formula substitution, and all-unit comparison table.
Copy the result, copy a share link with safe URL state, or print the calculation summary when needed.

Supported heat transfer coefficient units

Supported units include W/(m^2·K), W/(m^2·°C), kW/(m^2·K), Btu/(h·ft^2·°F), and kcal/(h·m^2·°C).

Heat Transfer Coefficient conversion formula

The coefficient normalizes to W/(m^2·K). The converter changes units only and does not estimate h from geometry or flow.

Notation

Formula notation
Symbol	Meaning	Unit
x_input	Entered value	selected source unit
F_from	Source-unit factor or formula to base unit	base W/(m^2·K)
x_base	Normalized base-unit value	W/(m^2·K)
F_to	Target-unit factor or formula from base unit	base W/(m^2·K)
x_output	Converted output value	selected target unit

Worked examples

1 kW/(m^2·K) to W/(m^2·K)

Method: h_base = h_input x factor_from; h_output = h_base / factor_to.

Result: 1 kW/(m^2·K) = 1,000.000000 W/(m^2·K)

1 Btu/(h·ft^2·°F) to W/(m^2·K)

Method: h_base = h_input x factor_from; h_output = h_base / factor_to.

Result: 1 Btu/(h·ft^2·°F) = 5.678263 W/(m^2·K)

1 kcal/(h·m^2·°C) to W/(m^2·K)

Method: h_base = h_input x factor_from; h_output = h_base / factor_to.

Result: 1 kcal/(h·m^2·°C) = 1.162222 W/(m^2·K)

For engineering, simulation, and research work

The Heat Transfer Coefficient Converter normalizes to W/(m^2·K) and explains Newton's law of cooling and why the tool does not estimate h.

Common mistakes

Treating a converted h value as a design validation.
Confusing convective h with overall U-value.
Forgetting h depends on geometry, flow, fluid, and temperature.

Limitations

This converter does not estimate h or U.
It does not validate heat-transfer design or select correlations.

Technical notes

Negative heat-transfer coefficient is not valid for ordinary engineering-property conversion.
This converter does not estimate h or U.
It does not validate heat-transfer design or select correlations.

References

NIST SP 811: NIST Special Publication 811, Guide for the Use of the International System of Units (SI).
BIPM SI Brochure: Bureau International des Poids et Mesures, The International System of Units (SI), 9th edition.
ISO 80000: ISO 80000 quantities and units series.

Professional support from ScholarEase Consultancy Services LLP

Professional support is available for engineering calculations, CFD and FEA projects, data analysis, MATLAB/Python work, technical documentation, and research support. The converter remains free to use without purchasing services.

Visit ScholarEase

Engineering disclaimer

This tool is intended for educational, estimation, and preliminary engineering use. Always verify critical engineering calculations with applicable standards, validated software, and qualified professional judgment before using results in real design, manufacturing, construction, safety, or compliance decisions.

Need Professional Support?

ScholarTool is powered by ScholarEase Consultancy Services LLP. Professional engineering, simulation, research, and technical documentation support is available through the connected services website.

Visit ScholarEase

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converterbrowser-only

Heat Transfer Coefficient Converter

Convert heat-transfer coefficient units for convection and U-value workflows.

Heat Transfer Coefficient Converter interface

Heat-transfer coefficient value

Enter a non-negative heat-transfer coefficient value.

Number format

Controls display only. Raw conversion values remain unrounded.

Negative heat-transfer coefficient is not valid for ordinary engineering-property conversion.

From unit

To unit

Heat-transfer coefficient conversions are performed locally in your browser and are not submitted to a third-party calculation API.

Result section

okFixed decimal, 6 places

Primary converted value

1 W/(m^2·K) = 0.176110 Btu/(h·ft^2·°F)

Btu per hour square foot Fahrenheit from Watt per square meter kelvin.

Secondary results

Original input: 1 W/(m^2·K)
Base-unit normalization: 1.000000 W/(m^2·K)
Conversion method: 1 W/(m^2·K) = 0.1761101838 Btu/(h·ft^2·°F)

Unit conversion summary

1 W/(m^2·K) = 0.176110 Btu/(h·ft^2·°F)

Reverse conversion: 0.176110 Btu/(h·ft^2·°F) converts back to 1 W/(m^2·K).

Assumptions

W/(m^2·K) is the internal base unit.
Kelvin and Celsius intervals have the same magnitude.

Calculation steps

Validate input and unitsWatt per square meter kelvin to Btu per hour square foot Fahrenheit
Normalize input to watt per square metre kelvin1.000000 W/(m^2·K)
Convert base value to target unit0.176110 Btu/(h·ft^2·°F)
Generate all-unit comparison tableEach row is converted from the same normalized base value.

Heat-transfer coefficient conversion

h_{base}=h_{input}\times F_{from};\quad h_{output}=h_{base}/F_{to}

h_base = h_input x factor_from; h_output = h_base / factor_to.

1 W/(m^2·K) x 1 W/(m^2·K)/W/(m^2·K) = 1.000000 W/(m^2·K)

1.000000 W/(m^2·K) / 5.678263337 W/(m^2·K)/Btu/(h·ft^2·°F) = 0.176110 Btu/(h·ft^2·°F)

All-unit comparison table

Every row is converted from the same normalized base value, not from a rounded display result.

Input heat transfer coefficient converted to all supported units
Unit name	Symbol	Converted value	Group	Status
Watt per square meter kelvin	W/(m^2·K)	1.000000 W/(m^2·K)	SI	source
Watt per square meter degree Celsius	W/(m^2·°C)	1.000000 W/(m^2·°C)	Metric equivalent	comparison
Kilowatt per square meter kelvin	kW/(m^2·K)	0.001000 kW/(m^2·K)	Metric	comparison
Btu per hour square foot Fahrenheit	Btu/(h·ft^2·°F)	0.176110 Btu/(h·ft^2·°F)	Imperial	target
Kilocalorie per hour square meter degree Celsius	kcal/(h·m^2·°C)	0.860421 kcal/(h·m^2·°C)	Metric	comparison

Technical visual

A convection surface diagram relates wall temperature, bulk fluid temperature, surface area, heat flow, and h.

Engineering interpretation

Newton's law of cooling uses q = h A DeltaT.
A convective coefficient and an overall U-value can share units but represent different modeling assumptions.

What is heat-transfer coefficient conversion and how does this Heat Transfer Coefficient Converter work?

How to use the heat transfer coefficient converter

Enter the heat-transfer coefficient value. Scientific notation such as 1e6 is supported.
Choose the source unit and target unit.
Select automatic, fixed-decimal, significant-figure, or scientific display formatting.
Review the primary result, base-unit normalization, formula substitution, and all-unit comparison table.
Copy the result, copy a share link with safe URL state, or print the calculation summary when needed.

Supported heat transfer coefficient units

Supported units include W/(m^2·K), W/(m^2·°C), kW/(m^2·K), Btu/(h·ft^2·°F), and kcal/(h·m^2·°C).

Heat Transfer Coefficient conversion formula

The coefficient normalizes to W/(m^2·K). The converter changes units only and does not estimate h from geometry or flow.

Notation

Formula notation
Symbol	Meaning	Unit
x_input	Entered value	selected source unit
F_from	Source-unit factor or formula to base unit	base W/(m^2·K)
x_base	Normalized base-unit value	W/(m^2·K)
F_to	Target-unit factor or formula from base unit	base W/(m^2·K)
x_output	Converted output value	selected target unit

Worked examples

1 kW/(m^2·K) to W/(m^2·K)

Method: h_base = h_input x factor_from; h_output = h_base / factor_to.

Result: 1 kW/(m^2·K) = 1,000.000000 W/(m^2·K)

1 Btu/(h·ft^2·°F) to W/(m^2·K)

Method: h_base = h_input x factor_from; h_output = h_base / factor_to.

Result: 1 Btu/(h·ft^2·°F) = 5.678263 W/(m^2·K)

1 kcal/(h·m^2·°C) to W/(m^2·K)

Method: h_base = h_input x factor_from; h_output = h_base / factor_to.

Result: 1 kcal/(h·m^2·°C) = 1.162222 W/(m^2·K)

For engineering, simulation, and research work

The Heat Transfer Coefficient Converter normalizes to W/(m^2·K) and explains Newton's law of cooling and why the tool does not estimate h.

Common mistakes

Treating a converted h value as a design validation.
Confusing convective h with overall U-value.
Forgetting h depends on geometry, flow, fluid, and temperature.

Limitations

This converter does not estimate h or U.
It does not validate heat-transfer design or select correlations.

Technical notes

Negative heat-transfer coefficient is not valid for ordinary engineering-property conversion.
This converter does not estimate h or U.
It does not validate heat-transfer design or select correlations.

References

NIST SP 811: NIST Special Publication 811, Guide for the Use of the International System of Units (SI).
BIPM SI Brochure: Bureau International des Poids et Mesures, The International System of Units (SI), 9th edition.
ISO 80000: ISO 80000 quantities and units series.

Heat Transfer Coefficient Converter interface

Result section

Secondary results

Unit conversion summary

Assumptions

Calculation steps

Heat-transfer coefficient conversion

All-unit comparison table

Technical visual

Engineering interpretation

What is heat-transfer coefficient conversion and how does this Heat Transfer Coefficient Converter work?

How to use the heat transfer coefficient converter

Supported heat transfer coefficient units

Heat Transfer Coefficient conversion formula

Notation

Worked examples

1 kW/(m^2·K) to W/(m^2·K)

1 Btu/(h·ft^2·°F) to W/(m^2·K)

1 kcal/(h·m^2·°C) to W/(m^2·K)

For engineering, simulation, and research work

Common mistakes

Limitations

Technical notes

References

Professional support from ScholarEase Consultancy Services LLP

Related tools

Print summary

Engineering disclaimer

Need Professional Support?

Heat Transfer Coefficient Converter interface

Result section

Secondary results

Unit conversion summary

Assumptions

Calculation steps

Heat-transfer coefficient conversion

All-unit comparison table

Technical visual

Engineering interpretation

What is heat-transfer coefficient conversion and how does this Heat Transfer Coefficient Converter work?

How to use the heat transfer coefficient converter

Supported heat transfer coefficient units

Heat Transfer Coefficient conversion formula

Notation

Worked examples

1 kW/(m^2·K) to W/(m^2·K)

1 Btu/(h·ft^2·°F) to W/(m^2·K)

1 kcal/(h·m^2·°C) to W/(m^2·K)

For engineering, simulation, and research work

Common mistakes

Limitations

Technical notes

References

Professional support from ScholarEase Consultancy Services LLP

Related tools

Print summary

Engineering disclaimer

Need Professional Support?