EML 4304L    Thermal Fluids Lab

Thermal Conduction

Experiment #3

Teaching Group #3: Christopher Hokes, Ryan Prentiss, Chris Bolyard, Fredrick Davidson, and Siye Baker

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Testing Equipment

 The apparatus for the experiment consists of:

 1.      Conduction elements

2.      Heating sources

3.      Heat sinks

4.      Thermocouples and thermocouple selector

5.      Digital temperature indicator

6.      A large graduated cylinder, and a stopwatch

 Some of the apparatus for the experiment are discussed below.

 Conduction Elements

 1.      For derivation of Fourier's law

The apparatus consists of a variable area and a constant area thermal conductor, each mounted vertically on a separate 0°-700°F hot plate, and terminated on the upper end with a fluid-cooled heat sink.  Each bar is in contact at its lower end with its own hot plate.  The contact for the tapered bar (Unit \# 3, Figure 1) is at the smallest end.  Both bars are the same diameter at the upper end at the heat sink.  All heating and conducting elements are enclosed in the insulating jacket.  Figure1 illustrates the schematics of the apparatus. The dimensions of the tapered rod are indicated in Fig. 2.


 

Figure 1. Conduction apparatus for Derivation of Fourier’s Law

 


                  Figure 2. Dimensions of the tapered rod conduction unit

 

2.      For thermal contact resistance

      The apparatus consists of an insulated, tubular-shaped unit containing in the central section a 1850°F tube furnace which heats two axially-aligned, slightly separated, stainless steel bars to one of which is attached end-to-end, left, a copper, then a steel bar; and to the other, right, an aluminum followed by a magnesium bar.  Each bar assembly terminates in an immersion-type, fluid cooled heat sink which is used both to regulate and to measure heat flux through the terminal cross-section of the bar.  Means for independent control of fluid flow rates through each heat sink is provided.  All heating and conducting elements are enclosed in an insulating jacket.  A schematic of the apparatus is shown in Figure 3.

 


 Figure 3. Conduction apparatus for the thermal contact resistance experiment

 

Two stabilized stainless steel bars are used to conduct heat from the high temperature zone within the furnace into both sides of the apparatus. The stabilized stainless steel bars maintain a uniform and durable surface condition which is essential because most of the heat entering the bar is transmitted from the heating elements directly by radiation, and any change in the interface conditions of the bar after a number of operations would affect the measurements.  Furthermore, the two bars extending left and right from the center of the furnace are slightly separated to prevent either bar acting as an undesired heat sink for the other.

 

At the left, attached axially to the stainless steel bar, there is a bar of conditioned copper with a steel bar attached to it in a similar manner.  At the right, aluminum and magnesium bars are similarly arranged.  Each set of bars is tightly screwed together.  Thus, the bars provide durable heat conduction and at the same time provide for measurable barrier effects. 

 

Heat Source

 1.      For derivation of Fourier's law

 

Two hot plates are used as the heat source, one each for the variable area conductor (Unit #3) and for the constant area conductor (Unit #4). Each hot plate draws 6.1 amps at 120 volts and has its own dial control knob.  The dial knob is a combination on-off switch and heating rate selector with a built-in thermostat and an indicator light.  With the knob at the counterclockwise end of the dial scale, the current is switched off.  Turning the knob clockwise starts the flow of current, and allows the operator to select a desired heat rate up to the maximum of 750 watt.

  

2.      For thermal contact resistance

 

The tube furnace is especially oriented to heat two horizontal stainless steel bars in axial alignment.  The left-handed stainless steel bar is coupled to a copper bar, the copper bar to a steel bar, which in turn is coupled to a copper element of the heat sink (Unit #1).  The right hand stainless steel bar is coupled to an aluminum bar and the aluminum bar to a  magnesium bar, which is again coupled to a copper element of the heat sink (Unit #2).  Heat flows in series through these units.  Thermocouples located along these axes of the bars are spaced longitudinally to enable the experimenter to take temperature measurements at critical points along the entire length of the heat flow.  The furnace is rated at 750 watts and requires 115 V AC.  The furnace base contains a multi-step temperature-controlling transformer; all internal wiring originates from this point.

 

To regulate temperature, proper adjustment of the control on the front panel must be made. To obtain the fastest heating, the switch should be set on the Number 10 position. However, you must be very careful to reduce the maximum input at the proper time to prevent over-heating and possible burnout of the heater units. Maximum safe operating temperature for the furnace is 1850° F. This corresponds approximately to the Number 6 position for 120 V AC. operation.

 

Heat Sink

 

The heat path of each unit ends in a liquid-cooled heat sink for independent measurement of heat flux.  The heat sink is a well in the upper end of the vertical conductor bar, as shown in Figure 4.  For Units #1 and #2, a copper element, attached to the end of each set of bars, extends horizontally into the coolant chamber as shown in Figure 5.  The heat sink inlet manifold has one thermocouple and each heat sink outlet has its own thermocouple.  Locations of heat sink thermocouples are shown in Figure 6.


Figure 4. Heat sink assembly for Units 3 and 4



Figure 5. Heat sink assembly for Units 1 and 2

Figure 6. Location of heat sink thermocouples

 

                             

 

 

Temperature Measurement

Glass-insulated Chromel-Alumel thermocouples are used for all temperature measurements.  Ten thermocouples are mounted at the center of each metal bar at the positions shown in Figures 7 (for Unit #1) and 8 (for Units #3 and #4) (Dimensions given in inches).  Unit #2 is configured similar to Unit #1, hence it is not shown. The inlet temperature to each heat sink is obtained from a single thermocouple mounted in the inlet manifold to the heat sink.  The heat sink outlets have their own thermocouples.


Figure 7. Thermocouple positions for Unit #1 (and #2)

 



 Figure 8. Thermocouple positions for Unit #3 and #4

 

 Thermocouple Selector

 

All thermocouple pairs lead into a junction box with a selector switch bank, which connects any thermocouple to a common terminal post to allow rapid read-out of all thermocouples using only one digital display gage. In the selector switch bank, each position on the unit-selector switch is numbered to its corresponding unit.  The thermocouple number selector switch is designed the same way; each thermocouple position is numbered to its appropriate thermocouple on the unit. Units #1 and #2 refer to the appropriate units on the thermal contact resistance unit; Unit #3 corresponds to the tapered rod, and Unit #4 corresponds to the uniform rod.  The heat sink thermocouples have been grouped for convenience as Unit #5, when using the Unit Selector switch.  Location of the various thermocouples is shown in Figure 9.  Thermocouple # 5, Unit # 5,corresponds to the heat sink inlet temperature, while thermocouples #1,#2, #3 and # 4 for Unit # 5 corresponds to the heat sink outlet temperatures for Unit #1, Unit #2, Unit #3 and Unit # 4, respectively.


Figure 9.  Heat sink locations.