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Volumetric Thermal Expansion Calculator

Calculate Volumetric Thermal Expansion Parameters
Select Answer Mode
Start Temperature (T0) [?]
End Temperature (T1) [?]
CVTE (αV) [?]
Start Volume (V0) [?]
End Volume (V1) [?]

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Change the answer mode for this tool by selecting start temperature (T0), end temperature (T1), coefficient of volumetric thermal expansion (αV), start volume (V0) or end volume (V1) as the parameter to calculate instead



Temperature sensor products
  • STT-26 Submersible Temperature Probe and Transmitter
  • 0…100°C Temperature Range Sensor with 4-20mA Current Output Signal Transmitter
  • 32…212°F Temperature Range Sensor with 4-20mA Current Output Signal Transmitter
  • Concrete cooling tower submersible temperature probe

Contents

  • Related Tools
  • User Guide
    • Formulas
      • Symbols
    • Start Temperature (T0)
    • End Temperature (T1)
    • Coefficient Of Volumetric Thermal Expansion (CVTE, αV)
    • Start Volume (V0)
    • End Volume (V1)

Related Tools

  • Linear thermal expansion calculations
  • Area thermal expansion calculations
  • Isotropic length, area & volume thermal expansion calculations
  • Volumetric units conversion
  • Temperature units conversion
  • Temperature difference units conversion
  • Thermal coefficient units conversion

User Guide

This tool will calculate any parameter from the formula for volumetric thermal expansion, which includes the start temperature, end temperature, coefficient of volumetric thermal expansion (CVTE), start volume and end volume.

The volumetric thermal expansion formula is used to calculate the change in volume of a three dimensional object, due to a change in temperature. The precision of volumetric expansion is very good if the change in volume is small compared to the overall volume of the of the object, and the thermal coefficient of expansion of the material does not change by much, within the range of temperature change.

Formulas

The formulas used by this volumetric thermal expansion calculator to determine each individual parameter are:

T0 = T1 – (V1 / V0 – 1) / αV

T1 = T0 + (V1 / V0 – 1) / αV

αV = (V1 / V0 – 1) / (T1 – T0)

V0 = V1 / (1 + αV · (T1 – T0))

V1 = V0 · (1 + αV · (T1 – T0))

Symbols

  • T0 = Start temperature
  • T1 = End temperature
  • αL = Coefficient of volumetric thermal expansion (CVTE)
  • V0 = Start volume
  • V1 = End volume

Start Temperature (T0)

This is the temperature of the object before the temperature is increased.

End Temperature (T1)

This is the temperature of the object after the temperature has been increased

Coefficient Of Volumetric Thermal Expansion (CVTE, αV)

This is a fixed value which is used to determine how much a small change in temperature will affect the three dimensional volume of a particular substance. The coefficient defines the fractional change in volume of a substance per unit change in its temperature.

Start Volume (V0)

This is the three dimensional volume of the object when it is at the start temperature T0 .

End Volume (V1)

This is the three dimensional volume of the object following thermal expansion caused by an increase in temperature from T0 to T1 .

Temperature measurement products
  • Water depth and temperature transmitter for 700 foot deep borehole
  • 10 metre / 32.8 feet deep fresh water level and temperature digital sensor
  • 32…212°F Temperature Range Sensor with 4-20mA Current Output Signal Transmitter
  • 40T48 Digital Readout with Alarm Relays

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Measure Temperature In A Liquid

Submerge this STT-26 Probe to measure the temperature of a liquid and transmit a 4-20mA current loop output signal.
Submerge this STT-26 Probe to measure the temperature of a liquid and transmit a 4-20mA current loop output signal.

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