Applications Of Heat Transfer Fundamentals In Buildings

INTRODUCTION

The intent of this blog is to throw light upon the various considerations that one must make in the domain of heat transfer when it comes to providing thermal solutions to a building or designing one.Building heat transfer calculations are performed for different applications like Heat loss and heat gain through the exterior envelope, conduction through exterior envelope, conduction heat transfer through basement walls and slab-on-grade floor, short-wavelength (or solar heat) transmission, absorption, and reflection for fenestration, air leakage through exterior envelopes as well as the interior partition walls, ceilings and floors, The calculations of heat transfer also depend on material or building element-related problems like cold-bridge effect, convection within porous insulation, moisture condensation due to the simultaneous flow of air, moisture, and heat.

 

The fact that heat transfer mechanisms for buildings are typically ill-defined, time-dependent, multi-dimensional, and non-linear is fundamental to all of these applications. As a result, all current solutions for any of these applications are dependent on multiple simplifying assumptions. Although refined and sophisticated solutions are sometimes available, they are sometimes too complicated and of little practical utility. Furthermore, most applications of sophisticated heat-transfer analysis have typically been studied by the aerospace and nuclear power sectors, at least in the United States, until recently. As a result, many difficult problems in building heat transmission have remained unaddressed.

 

 

Fig no. 1

 

Fig.1 Modes of heat transfer[9]

 

The purpose of a building is to provide safety and thermal comfort for healthy living. Buildings are essentially made up of an envelope, which serves as a barrier between the outside and the inside environments. In reaction to exterior climatic conditions, the building envelope is principally responsible for managing inside thermal comfort. It generally consists of a combination of building components that has provided the required structural performance thus far. However, research into different building-envelope layouts to achieve a certain thermal performance is restricted. Heat and moisture will be transferred to the internal environment through the building envelope since it is exposed to the outside environment. The microstructure and layout of the building material have an impact on the overall phenomena of heat and moisture transmission.

 

Furthermore, a material's thermal behavior is largely determined by its microstructure, which is made up of a network of pores and particles organized in a certain pattern. The thermal conductivities of solid particles, pore microstructure, and the component fluid (air and/or moisture) all influence the thermal behavior of construction material. The thermal properties of specific building materials and their design affect the thermal response of a building envelope. Understanding how intricate networks of pores and particles impact heat transmission is relatively new research in the field of building climate response. The current study examines the heat-transfer mechanisms that govern a building material's thermal performance as a function of its microstructure.

 

 

 

 

CONDUCTION:

Conduction heat transfer problems relevant to buildings include:

1 Exterior Wall Conduction:

      transient heat transfer responding to climatic effects, such as temperature fluctuation, solar radiation, wind and precipitation; thermal storage ... damping and lag effect; and cold-bridge effect (two-dimensional and non-linear heat flow path).

2 Interior Mass Conduction:

      heat storage in partition walls, floor/ceiling sandwich.

3 Conversion from heat gain/loss to cooling and heating load.

4 Ground heat loss from slab-on-grade floor and basement walls.

 

 

 

 

 

 

CONVECTION

Convection is the flow of heat within a fluid, with warmer fluids rising and colder fluids falling.

In homes, this fluid is air.

Therefore for our intents and purposes, convection is a heat transfer mechanism, resulting from the movement of air at different temperatures.

 This is a very important mechanism in the design of buildings, where air movement is necessary to

       Moderate internal temperatures.

       Reduce the accumulation of moisture, odours, and other gases that can build up during occupied periods.

       Improve the comfort of occupants.

 

In the air, convection is often called the “stack effect.” As air warms, the molecules move farther apart, and the air becomes more buoyant, floating upwards. As that air rises, cold air is pulled from below to replace it.

In a boiler or heat pump, warmed water circulates in a similar way, and piping systems can be designed to use this “thermosiphon” to circulate water.

 

When we account for convective air flows in buildings, we look at the following variables:

       Difference in temperature (ΔT): As with all methods of heat transfer, a difference in temperature from one area to the other is a necessary condition for heat to flow.

       Time (t): Length of time the air movement occurs.

       The volume of air (V): The volume of air within a home can be measured by multiplying the length, width, and height of interior space. The volume of air in a home remains constant, although the air itself changes.

       Air changes per hour (AC/hr): The rate of air movement is measured as air changes. The “change” is the movement into and out of a defined space, such as the volume of air in a room (the amount used to balance the airflow in an HVAC system), or in a whole house (the amount used to measure house leakage).

 

In buildings, heat is also transported by the following mechanisms, which basically belong to the convective mode:

       Transfer of latent heat by transport of water or water vapor.

       Thermal energy associated with the air being replaced in a building by ventilation or by air leakage (infiltration).

       Thermal energy associated with fresh and used domestic water and combustion air (including flue gases), and fluids feeding heat pumps.

 

Air movement in buildings can be 'forced' (for example driven by fans), or 'natural' resulting from pressure differences from one part of a building to another. Natural air movement can be either wind-driven or buoyancy-driven.

Accurately predicting the movement of air within buildings is extremely complicated and can require the use of computational fluid dynamics (CFD) modelling software.

Fluids can also be used to transfer heat within a building by 'mass transfer', for example by the flow of a refrigerant, chilled water, or hot water around a building to provide heating or cooling.

 

 

RADIATION

Heat transfer through radiation takes place in the form of electromagnetic waves mainly in the infrared region. Radiation emitted by a body is a consequence of thermal agitation of its composing molecules.

Radiation heat transfer is very important in building application in the following areas:

 

A)     Short-wavelength radiation:

 

       Solar heat absorption on opaque exterior surfaces

       Solar heat transmission through transparent surfaces

       Solar heat absorption and reflection by interior building surfaces

       Absorption and reflection of solar heat by window glass

 

B)    Long-wavelength radiation:

 

       Heat emission by the exterior surfaces to the sky

       Heat exchange among interior surfaces

       Heat exchange between interior surfaces and occupants

       Heat exchange between the lighting fixture and interior surfaces

 

Solar gain through windows exposed to either the direct sun, or reflected sun (reflected off the particles in the sky, creating diffuse radiation, or reflected off a surface) can dramatically affect the heat flow in a building. Hence, the building energy flows must account for the solar gain through windows. This amount of heat can dominate the performance of a modern building with relatively high window coverage (i.e., above 20 to 30% window to wall ratio). The Solar Heat Gain Coefficient (SHGC) is the window property used to rate the amount of energy allowed through windows. The SHGC is the fraction of incident solar radiation that passes through a window and becomes heat inside the building. For example, if the SHGC of a glazing unit is 0.50, and the sun is shining on the window with an intensity of 500 W/m2, 250 W/m2 will enter the building.

 

While extensive work has been reported in the area of solar energy exchange with exterior surfaces, basic irradiation data are still insufficient with respect to the diffuse sky radiation component, particularly for vertical surfaces and for cloudy sky conditions. Perhaps the most difficult and tedious problem in dealing

with solar heat exchange analysis for building applications is the analysis of direct or beam radiation that is transmitted through fenestration, absorbed, reflected and reemitted by the interior surfaces. Because of the complex geometry of the time-dependent shade and sunlight patterns, exact solutions to simulate realistic solar heat exchange in a room are virtually impossible. It is usually assumed that the interior surface is gray (non-spectral) and diffuse (no specular reflection), and the solar heat is diffused once it enters through the window and interior shading devices. The long-wavelength radiant heat emission to the sky from the building exterior surface has not been well explored except for the clear sky condition, although some work is going on at CSTB in France.

 

 

BUILDING MATERIALS

 

Principles of Heat Transfer Through Walls: Before we touch upon the microscopic considerations and factors let's take a look at the Macroscopic section of our topic of discussion - ‘The Walls’.When it comes to walls the basic factors that need to be looked into are,  the heat flow under steady conditions, the surface resistance, transfer of heat by air infiltration, and the flow of heat under variable conditions.

 

The steady flow of heat through a wall by reason of a constant temperature difference between the surroundings on the two sides depends upon four partially independent processes,

(1) the transfer of heat  to the wall from the surroundings on the hot side,

(2) the transfer through the wall,

(3) the transfer of heat to the surroundings on the cold side, and

(4) the diffusion or flow of air through the wall in either direction.

 

The resistance to heat flow between the surface of a wall and its surroundings is ordinarily called surface resistance, although it is only partially dependent upon phenomena taking place at the surface of the wall. The transfer of heat takes place by all the modes of heat transfer, viz, conduction, convection, and radiation, and the relative contribution of each depends upon the conditions. Heat is transferred from the air to the wall, or vice versa, by convective air currents set up by temperature differences between wall and air, by wind or forced ventilation.. In addition to the heat transferred by convection and conduction in the air, an entirely independent transfer takes place by radiation between the surface of the wall and its surroundings. The magnitude of such transfer depends on the absolute temperature, the temperature difference, and the character of the surfaces of the wall and surroundings. If the wall and its surroundings had reflecting surfaces of clean, bright metal, the interchange of heat by radiation would be very small at ordinary temperatures. In all practical cases, however, the surfaces are nonmetallic, and the transfer of heat by radiation is usually somewhat greater than the convective transfer, even at ordinary temperatures.

 

The thermal resistance of the wall itself is separate and distinct from the surface resistances. It is a property of the wall and is not influenced by the surroundings except in certain cases of air leakage which will be noted later. Heat transfer through solid walls takes place only by conduction in the direction of temperature gradients. Such transfer is proportional to the temperature difference between the two surfaces of the wall and further depends on the materials composing the wall. The thermal conductivities of building materials in general, increase slightly with increasing temperature; consequently the resistance of a wall will decrease somewhat with increasing mean temperature of the wall.

 

Aside from conduction, convection, and radiation, an entirely independent transfer of heat may take place by infiltration of cold air through the wall on the windward side of a building, with the conse- quent efflux of warmer air on the lee side of a building. In an extreme case, air infiltration may be so large as to cause material change in the temperature gradient in the wall, and, therefore, influence the outward heat flow by conduction.

 

 

Heat Transfer Mechanisms in Building Materials

 

The heat transfer through the material is a combination of conductive, convective and radiative heat transfer components. A schematic representation of the heat transfer mechanism through the porous building-material microstructure as shown in Fig. below. Conduction involves heat transfer through excitation of atoms, while convection involves heat transfer through molecule movement induced by differential temperature variation; radiative heat transfer involves heat-transfer through electromagnetic energy.

 

 

 

Fig. 2 heat transfer mechanisms through the porous building material[8]

 

                                                           

Understanding heat transfers through the building materials is a complex phenomenon due to the irregularity of the porous building-material microstructure. It is a challenge to quantify the modes of heat transfer through material solid matrix and voids. In such materials, heat is propagated by thermal conduction through the solid phase, thermal conduction through the fluid phase, radiation between solid particles, and convection in the fluid phase. The heat transfer through different components is briefly explained below. These complex heat transfer processes involve many components such as:

  1. Heat conduction in solid matrix/particles,
  2. Heat conduction through pore fluid (air or water),
  3. Heat conduction in micro-gaps that exist between particles,
  4. Particle contact heat conduction,
  5. Heat transfer through pore fluid,
  6. Radiation from solid surfaces of pores (particle to particle radiation in pores)

 

 

Heat conduction in solid matrix/particles:

Heat conduction occurs through the solids matrix/particles in a material by electrons (particle collision)

and photons conduction (lattice vibration). The thermal conductivity of the material is a combined influence of these two mechanisms from the following equation:

λ= λl + λe

Where, λl and λe are the lattices and electronic thermal conductivities

In metals, heat conduction through electron collision is effective and dominant; in non-metal and insulators heat conduction through lattice vibration is effective, which do not have many free electrons.

 

 

Heat conduction through pore fluid (air or water):

The component of heat transfer mainly depends on the type of the fluid present in pores. Fluids may be air or water; the thermal properties of fluids vary with respect to their chemical composition and state (phase). For example, water conducts heat nearly twenty-five times more than air. Scientist Loeb explains heat conduction through pore fluid, especially through gases, to be dependent on the mean free path (λl), which is a function of temperature and pressure. This is valid when pore dimensions are larger than the mean free path. However, gas conductivity falls below the free gas value if the pore structure is finer than the mean free path, in which case there will be gas molecule–wall collisions (Knudsen conduction). From kinetic theory, the mean free path is the average distance covered by a moving particle between collisions with other moving particles. It is evident that the mean free path in air varies also with relative humidity (moisture content in air), along with temperature and pressure.

 

 

 

 

Fig. 3 Mechanisms of heat transfer in porous materials[8]

 

 

 

The phenomenon of particle contact heat conduction can be neglected at normal temperatures and pressures but might be very substantial at low pressures and moderate temperatures.

 

 

 

 

 

 

 

 

 

 

 

 

 


Fig.4 Particle-contact and other heat transfer paths in a material.[8]

 

 

 

Heat transfer through pore fluid

The heat transfer through pore fluid mainly depends on the type or nature of the fluid present in pores, and primarily occurs through convection. Fluids may be air or water. Heat exchange or transfer from the particle to fluid in the pore is eventually by convection.

 

Radiation from solid surfaces of pores (particle to particle radiation in pores)

The radiative component is more significant at very low densities at a high temperature where the effective coefficient of heat conductivity of porous building materials will be high. At very high temperatures the pores themselves offer little resistance leading the porous body to conduct as though the pores were solid. With increasing temperature, the apparent thermal conductivity of loose and porous insulating materials become greater, because the conductivities of the solid substance and of the gas in the pores, and the inner radiation increase. The scale of the pore structure (and the grain size) can also affect radiative heat transfer since radiation is effectively scattered by interfaces (grain boundaries). A fine-scale structure results in increased scattering and reduced transmission. However, an increase in the scale increases the possibility of convection within or between pores. Luikov studied the effect of the radiative heat transfer in porous materials for different pore sizes at different temperatures, and concluded that radiative heat transfer can be neglected for a pore diameter smaller than 5mm. Luikov also showed that with (Gr.Pr) < 1000 convective heat transfer in closed pores can be neglected and that the heat transfer through the fluid layer in the gap occurs by conduction. Clyne et al showed the effect of the temperature and pressure on the Grashof number. Convection is significant if the Grashof number exceeds 1000. The study concludes that closed-cell convection can be neglected for most porous materials, under commonly encountered conditions. In open-cell materials, on the other hand, convective heat transfer may be highly significant, depending on the connectivity and scale of the pores.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Fig.5 Dependence of Grashof number on length scale (pore size), for different pressures and temperatures[8]

 

CHAPTER 4

CONCLUSION

In this blog we've attempted to bring the reader's attention to the various considerations and phenomena that need to be taken into account when designing buildings from a thermal perspective.  Basic problems and difficulties inherent in the comprehensive analysis of building heat transfer, are due to many parameters which are ill-defined and some of which are time-dependent and multi-dimensional. We have discussed some of the factors ranging from conduction convection and radiation considerations to the macro and microscopic effects of building materials in the building heat transfer.

REFERENCES

 

[1]Raychaudhuri, B. c., Transient thermal response of enclosures; the integrated thermal time constant, International J. Heat Mass Transfer 8 , 1439 (1965).

[2] Laudo n, A. C., Summertime Temperatures in Buildings, Building Research Studies, 1968. Building Research Establishment, Building Research Station, Carston, Watford, WD2 7JR.

[3] Muncey, R. W., The thermal response of a building to sudden changes of temperatures or heat Oow, Australian J. Sci. 14, 123,1963.

[4] Mitalas, G. P., and Arsenault, J. C. Fortran IV program to calculate Z-transfer functions for the calculation of transient heat transfer through walls and roofs, use of computers for environmental engineering related to buildings, NBS-BSS 39, 1971, pp. 663-668.

[5] Discerning heat transfer in building materials N. C. Balajia *, Monto Manib, B. V. Venkatarama Reddy

[6] Tamami Kasuda, Fundamentals of Building Heat Transfer Institute for Applied Technology, National Bureau of Standards, Washington, D.C. 20234 (July S, 1977).

[7] Muncey, R. W., The thermal response of a building to sudden changes of temperatures or heat Oow, Australian J. Sci. 14, 123, 1963.

[8] N. C. Balajia*, Monto Manib, B. V. Venkatarama Reddyc, Discerning heat transfer in building materials

4th International Conference on Advances in Energy Research 2013, ICAER 2013

[9   Insulation Materials DOI:10.13140/RG.2.2.36009.03681  Applications of Renewable Energy by Tawfeeq Wasmi Mohammed Salih -Al-Mustansiriya University

 

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