Print Сite this

Heat Transfer Through Home Walls

Abstract

The aim of this report is to look at the different modes of heat transfer. Specifically, heat transfer through walls will be clearly outlined and the different equations associated with the same discussed. The report will also cover conduction, radiation and convection as modes of heat transfer.

We will write a
custom essay
specifically for you

for only $16.05 $11/page
308 certified writers online
Learn More

Introduction

Heat can be defined as energy in transition brought about by a difference in temperature.If there is a greater temperature difference, then the heat is transferred more rapidly. The rate of heat transfer is what defines the situation while discussing heat transfer models. There are three distinct modes of heat transfer:

  • Conduction
  • Radiation and
  • convection

Heat transfer is only possible for all the above mentioned modes in the existence of a temperature difference (Incropera 75)

Conduction

In this mode of heat transfer, heat energy is transferred without any movement of macroscopic particles but on a molecular scale with vibration of the body molecules. Fourier’s law was developed on the basis of heat transfer by conduction.

Convection

In this mode, heat is transferred by mixing of one part of fluid with another of different temperature. The movement of the fluid portion could be caused by a density gradient due to temp difference or due to natural convection. It could also be due to a pump as in a heat exchanger; a phenomenon called forced convection (Incropera 78)

Radiation

In this mode, heat energy is transferred in the form of electromagnetic waves and does not therefore require a medium of transfer (Incropera 80).

Heat transfer through walls

Heat transfer by conduction through walls is mainly due to vibration of the molecular particles and energy transfer to the adjacent walls. Fourier’s law of heat conduction states that “The rate of heat flow is proportional to the area through which it flows and the temperature difference dt across the layer and inversely proportional to the thickness dx. The law is expressed as below.

Get your
100% original paper
on any topic

done in as little as
3 hours
Learn More
    1. QαAdt/ dx

Equation i. above expression is then expressed as an equation by introducing a constant (thermal conductivity) to give:

    1. Q = – k(dt/ dx)

The negative sign in the equation ii is an indication of direction i.e. heat flow is positive in the direction of the temperature fall.

Fourier’s law of conduction is based on one dimensional steady heat flow through a solid. One dimensional flow is whereby the temperature is constant over surfaces perpendicular to the direction of heat flow.

Steady state implies that Qin = Qout = Qintermediate

Where represents the Heat energy.

Assuming that the heat changes from t1 to t2, equation ii can be integrated with t1 and t2 as the lower and upper limts respectively to obtain:

    1. Q = – kA (t− t2)/x

Newton’s law of cooling

This states that heat transfer of a solid surface of area, at a temp tw  to a fluid of temperature is given by

We will write a custom
essays
specifically
for you!
Get your first paper with
15% OFF
Learn More
    1. QαA (tw−t)
    2. QhA (tw−t)

Where h=heat transfer coefficient.

Taking dA and dB as the thicknesses of the static field of fluid in contact with a wall on one side A and another side B, through which conduction will be by conduction, then heat flow through unit surface area would be

    1. q = (tA−tB)/[(1/hA)+(x/k)+(1/hB)]

Equation I is based on the assumption that heat flow through a wall of unit surface area is given by q = k/x(t− t2).

With k/x′ = h, then Q = hA (tw−t)

Where, tis the temperatute of the wall and t the temperature of the surrounding fluid.

Conclusion

The above described equations and laws are instrumental in the calculation of heat transfer rates and the subsequent design of structures that that are thermally sound, including dwellings and special structures.

Works cited

Incropera,Frank. Fundamentals of Heat and Mass Transfer 6th Edition. New York: Hemisphere Publishing, 2006.

Cite this paper

Select style

Reference

StudyCorgi. (2022, March 30). Heat Transfer Through Home Walls. Retrieved from https://studycorgi.com/heat-transfer-through-home-walls/

Reference

StudyCorgi. (2022, March 30). Heat Transfer Through Home Walls. https://studycorgi.com/heat-transfer-through-home-walls/

Work Cited

"Heat Transfer Through Home Walls." StudyCorgi, 30 Mar. 2022, studycorgi.com/heat-transfer-through-home-walls/.

* Hyperlink the URL after pasting it to your document

1. StudyCorgi. "Heat Transfer Through Home Walls." March 30, 2022. https://studycorgi.com/heat-transfer-through-home-walls/.


Bibliography


StudyCorgi. "Heat Transfer Through Home Walls." March 30, 2022. https://studycorgi.com/heat-transfer-through-home-walls/.

References

StudyCorgi. 2022. "Heat Transfer Through Home Walls." March 30, 2022. https://studycorgi.com/heat-transfer-through-home-walls/.

References

StudyCorgi. (2022) 'Heat Transfer Through Home Walls'. 30 March.

This paper was written and submitted to our database by a student to assist your with your own studies. You are free to use it to write your own assignment, however you must reference it properly.

If you are the original creator of this paper and no longer wish to have it published on StudyCorgi, request the removal.