Heat conductivity and Grashofs number

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SUMMARY

This discussion centers on the calculation of the Grashof number, which is essential for understanding natural convection in fluids. The equation provided is Gr = g · β · Δt · (l³ / v²), where β represents the volume expansion coefficient, a critical parameter in this context. Users are directed to resources such as matweb.com for material properties and the NIST database for heat transmission properties of insulating and building materials. These resources are invaluable for engineers seeking specific values related to heat resistance and conductivity.

PREREQUISITES
  • Understanding of the Grashof number and its significance in fluid dynamics.
  • Familiarity with the concept of volume expansion coefficient (β) and its role in natural convection.
  • Basic knowledge of heat transfer principles, particularly free convection.
  • Access to engineering handbooks or databases for material properties.
NEXT STEPS
  • Research the NIST database for Heat Transmission Properties of Insulating and Building Materials.
  • Explore matweb.com for detailed properties of metals, polymers, and ceramics.
  • Study the relationship between Grashof number and Reynolds number in fluid dynamics.
  • Investigate the calculation and significance of the volume expansion coefficient (β) in various materials.
USEFUL FOR

Engineers, architects, and building material scientists who require detailed information on heat conductivity and resistance in building materials, as well as those involved in thermal analysis and fluid dynamics.

TSN79
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1)
I'm in need of some values (tables) about heat resistance, conductivity, and such for different types of building materials. Any good sites out there?

2)
I have the following equation for calculating Grashofs number:

<br /> Gr = g \cdot \beta \cdot \Delta t \cdot {{l^3 } \over {v^2 }}<br />

All well and good, but the \beta is described as being the "volume expansion coefficient", something I have never heard of before. The unit is 1/C, where C is Celsius. This wouldn't be a problem if I just knew what this number actually is, or where to find it. Any ideas?
 
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1) Don't know of any sites. If your school has access to them, engineering handbooks are usually your best bet. If you have specific materials and properties you are looking for post them and someone should be able to pass some along to you.

2.) In free convection, the Grashof number is akin to the Reynolds number for forced convection. The \beta term comes from the variation in density required for natural convection flow.

\beta = - \frac{1}{\rho} (\frac{\partial \rho}{\partial T})_p

it can be approximated by

\beta \approxeq - \frac{1}{\rho} (\frac{\rho_\infty - \rho}{T_\infty - T})

(\rho_\infty - \rho) \approxeq \rho \beta (T_\infty - T)

The RHS should look very similar to the first three terms of the Grashof number.
 
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#1)
matweb.com lists properties for most metals, polymers and ceramics. This is a valuable resource for all kinds of property searches.

The more relevant resource for you is the NIST database for Heat Transmission Properties of Insulating and Building Materials : http://srdata.nist.gov/insulation/insul_search_menu_12.asp
 
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