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Blown-In and Loose-Fill Insulation

Loose-fill materials can be blown into attics and finished wall cavities. For existing buildings that were not built with insulated cavities, fibrous material such as cellulose insulation or glass wool is blown into the cavity through suitably drilled holes until it fills the entire wall space. Loose-fill insulation consists of small particles of fiber, foam, or other materials. The most common types of materials used for loose-fill insulation include cellulose, glass wool, and rock wool.

  • Cellulose insulation is made from recycled paper products, primarily newspapers, and has a very high recycled material content.
  • Glass wool (originally known also as fiberglass) is an insulating material made from fibers of glass arranged using a binder into a texture similar to wool.
  • Stone wool, also known as rock wool, is based on natural minerals present in large quantities throughout the earth, e.g., volcanic rock, typically basalt or dolomite.

These small particles made from these materials form an insulation material that can conform to any space without disturbing structures or finishes. One of the methods is Wet-spray cellulose insulation. This type of insulation is similar to loose-fill insulation but is applied with a small quantity of water to help the cellulose bind to the inside of open wall cavities.

Attic Insulation – Roof Insulation

Roof - Attic - Insulation - Glass woolA very important source of heat loss from a house is through the roof and attic. Attic insulation is a thermally insulated, protective interior cladding procedure involving glass or rock wool, polyurethane foam, or phenolic foam. It must be noted that there is a difference between insulating a pitched roof and a flat roof, and there is a difference between cold or warm loft insulation. Cold roof insulation requires insulation at the joist level to stop heat from escaping through the unused roof space. A warm roof is insulated between and under the roof’s rafters.

The purpose of roof insulation is to reduce the overall heat transfer coefficient by adding materials with low thermal conductivity. Roof and attic insulation in buildings is an important factor in achieving thermal comfort for occupants. Roof insulation, as well as other types of insulation, reduces unwanted heat loss and also reduce unwanted heat gain. They can significantly decrease the energy demands of heating and cooling systems. It must be added that no material can completely prevent heat losses. Heat losses can only be minimized.

Example of Insulation – Cellulose Insulation

Cellulose insulation is made from recycled paper products, primarily newspapers, and has a very high recycled material content. The obtained cellulose fibers have a wool-like structure (therefore, paper wool). Boric acid or ammonium sulfate are added to make the cellulose fibers moisture and flame retardant. Cellulose insulation is used in wall and roof cavities to insulate, draught-proof, and reduce free noise. Cellulose insulation is used in new and existing homes, usually as loose fill in open attic installations and dense packed in building cavities. Cellulose and other loose-fill materials can be blown into attics, finished wall cavities, and hard-to-reach areas.

Example – Heat Loss through a Wall

heat loss through wall - example - calculationA major source of heat loss from a house is through walls. Calculate the rate of heat flux through a wall 3 m x 10 m in the area (A = 30 m2). The wall is 15 cm thick (L1), and it is made of bricks with thermal conductivity of k1 = 1.0 W/m.K (poor thermal insulator). Assume that the indoor and the outdoor temperatures are 22°C and -8°C, and the convection heat transfer coefficients on the inner and the outer sides are h1 = 10 W/m2K and h2 = 30 W/m2K, respectively. These convection coefficients strongly depend on ambient and interior conditions (wind, humidity, etc.).

  1. Calculate the heat flux (heat loss) through this non-insulated wall.
  2. Now assume thermal insulation on the outer side of this wall. Use glass wool insulation 10 cm thick (L2) with the thermal conductivity of k2 = 0.023 W/m.K and calculate the heat flux (heat loss) through this composite wall.

Solution:

Many heat transfer processes involve composite systems and even involve a combination of conduction and convection. It is often convenient to work with an overall heat transfer coefficientknown as a U-factor with these composite systems. The U-factor is defined by an expression analogous to Newton’s law of cooling:

u-factor - overall heat transfer coefficient

The overall heat transfer coefficient is related to the total thermal resistance and depends on the geometry of the problem.

  1. bare wall

Assuming one-dimensional heat transfer through the plane wall and disregarding radiation, the overall heat transfer coefficient can be calculated as:

overall heat transfer coefficient - heat loss calculation

The overall heat transfer coefficient is then:

U = 1 / (1/10 + 0.15/1 + 1/30) = 3.53 W/m2K

The heat flux can be then calculated simply as:

q = 3.53 [W/m2K] x 30 [K] = 105.9 W/m2

The total heat loss through this wall will be:

qloss = q . A = 105.9 [W/m2] x 30 [m2] = 3177W

  1. composite wall with thermal insulation

Assuming one-dimensional heat transfer through the plane composite wall, no thermal contact resistance, and disregarding radiation, the overall heat transfer coefficient can be calculated as:

overall heat transfer coefficient - thermal insulation calculation

glass wool insulationThe overall heat transfer coefficient is then:

U = 1 / (1/10 + 0.15/1 + 0.1/0.023 + 1/30) = 0.216 W/m2K

The heat flux can be then calculated simply as:

q = 0.216 [W/m2K] x 30 [K] = 6.48 W/m2

The total heat loss through this wall will be:

qloss = q . A = 6.48 [W/m2] x 30 [m2] = 194 W

As can be seen, adding a thermal insulator causes a significant decrease in heat losses. It must be added that adding the next layer of the thermal insulator does not cause such high savings. This can be better seen from the thermal resistance method, which can be used to calculate the heat transfer through composite walls. The rate of steady heat transfer between two surfaces is equal to the temperature difference divided by the total thermal resistance between those two surfaces.

thermal resistance - equation

 
References:
Heat Transfer:
  1. Fundamentals of Heat and Mass Transfer, 7th Edition. Theodore L. Bergman, Adrienne S. Lavine, Frank P. Incropera. John Wiley & Sons, Incorporated, 2011. ISBN: 9781118137253.
  2. Heat and Mass Transfer. Yunus A. Cengel. McGraw-Hill Education, 2011. ISBN: 9780071077866.
  3. U.S. Department of Energy, Thermodynamics, Heat Transfer and Fluid Flow. DOE Fundamentals Handbook, Volume 2 of 3. May 2016.

Nuclear and Reactor Physics:

  1. J. R. Lamarsh, Introduction to Nuclear Reactor Theory, 2nd ed., Addison-Wesley, Reading, MA (1983).
  2. J. R. Lamarsh, A. J. Baratta, Introduction to Nuclear Engineering, 3d ed., Prentice-Hall, 2001, ISBN: 0-201-82498-1.
  3. W. M. Stacey, Nuclear Reactor Physics, John Wiley & Sons, 2001, ISBN: 0- 471-39127-1.
  4. Glasstone, Sesonske. Nuclear Reactor Engineering: Reactor Systems Engineering, Springer; 4th edition, 1994, ISBN: 978-0412985317
  5. W.S.C. Williams. Nuclear and Particle Physics. Clarendon Press; 1 edition, 1991, ISBN: 978-0198520467
  6. G.R.Keepin. Physics of Nuclear Kinetics. Addison-Wesley Pub. Co; 1st edition, 1965
  7. Robert Reed Burn, Introduction to Nuclear Reactor Operation, 1988.
  8. U.S. Department of Energy, Nuclear Physics and Reactor Theory. DOE Fundamentals Handbook, Volume 1 and 2. January 1993.
  9. Paul Reuss, Neutron Physics. EDP Sciences, 2008. ISBN: 978-2759800414.

Advanced Reactor Physics:

  1. K. O. Ott, W. A. Bezella, Introductory Nuclear Reactor Statics, American Nuclear Society, Revised edition (1989), 1989, ISBN: 0-894-48033-2.
  2. K. O. Ott, R. J. Neuhold, Introductory Nuclear Reactor Dynamics, American Nuclear Society, 1985, ISBN: 0-894-48029-4.
  3. D. L. Hetrick, Dynamics of Nuclear Reactors, American Nuclear Society, 1993, ISBN: 0-894-48453-2.
  4. E. E. Lewis, W. F. Miller, Computational Methods of Neutron Transport, American Nuclear Society, 1993, ISBN: 0-894-48452-4.

See above:

Heat Losses