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# Lab1 - ME 320L Heat Transfer Laboratory Demonstration of...

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ME 320L – Heat Transfer Laboratory - 1 - University of New Mexico Demonstration of Fourier’s Law Heat transfer is one of the basis on which the engineering is built. Among the topic that define the heat transfer there is the Fourier’ Law. The purpose of this report is to confirm experimentally this law. Introduction Three experiments were established in order to get the relationship between the heat flux, the temperature and the position. The experiment consisted in connect an insulated brass rod to a heater in one end and to water cooled sink in the other (see Fig 1). Then, different thermocouples measured the temperatures along the rod. With this, an expression for the gradient of the temperature can be obtained. Change in the area and the material were also investigated. Steady state condition is assumed. Figure 1 Theoretical Background The relation between the heat flux and the temperature gradient is given by the Fourier’s Law, which states that the heat flux is proportional to the temperature gradient. Mathematically, (1) x dT q dx (2) x dT qk dx =− The proportionality constant is k and it is called thermal conductivity. The minus sign implies that the heat must occur from a higher to a lower temperature. Finally, the heat flux across a certain area gives the total heat: (3) x dT QA k dx In this case, the rod is insulated on the sides and one dimension analysis is assumed. The experiments were divided in three parts. The first part consisted in get a relation between the temperature gradient and the heat. In the second part, the area variation was studied. And in the third part, the variation of thermal conductivity was considered. Equipment and procedure The experiments were performed in the heat transfer facilities, at the Mechanical Engineering Building. The insulated brass rod has two sections; each one contains three thermocouples connected to an oscilloscope. One end of the rod was connected to a water cooled heater sink, at 4º C. The other end was connected to an electrical heater. The electrical heater was operated also by the oscilloscope (see Fig 2). The thermocouples were spaced 15 mm apart and

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Lab1 - ME 320L Heat Transfer Laboratory Demonstration of...

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