Engr 103,Section 088, Group 01

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  • ENGR 103 - Spring 2013

    Freshman Engineering Design Lab

    Heat pipe and Its Application in Cooking Project Design Proposal

    Date Submitted: May 17, 2013

    Submitted to: John Speidel, [email protected]

    Group Members: Maria Tabbut, [email protected]

    Luis Castro, [email protected]

    David Williams, [email protected]

    Frank Kivuyo, [email protected]

    Abstract:

    A heat pipe is a device designed to transfer heat from hot sources to cold sources or from

    cold sources to hot sources. The main goal is to implement heat pipe application in a cooking pot

    in order to increase its efficiency by saving time and energy. During the design of the cooking

    pot it will be necessary to know the basic thermodynamics processes as well as the performance

    of the material that will be used in the project. The exterior hollow pipe will be made of copper,

    and the inner wick will be made of copper-mesh. This will be the fundamental design prototype.

    During the time of the design, the cooking pot will be built and tested in order to improve the

    flaws in the prototype. Alterations will be made in the design prototype if suitable, for instance

    change in the outer hollow pipe from copper to silver as silver is safer for the consumer and will

    enhance the efficiency of the cooking pot. If this prototype is successful, a remodeled design of

    this cooking pot can be introduced to the consumer world.

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    1. Introduction

    With the knowledge of heat pipes and thermodynamics a heat pipe integrated with a cooking

    pot will be designed. The goals of the cooking pot will be to reduce the amount of heat lost, as

    well as the amount of time spent cooking. The materials used for the heat pipe will be from

    careful calculations and analysis over the course of the design process. Constraints will also be

    an important decision in designing. There will be mechanical and electrical design costs. The

    heat pipe will also need to fit the dimensions of a cooking pot and still be able to operate

    correctly. The objectives are to build a heat pipe that is successfully integrated with a cooking

    pot which improves heat loss and time spent cooking.

    Heat pipes use basic thermodynamics principles. The main principle of a heat pipe is the

    transfer of thermal energy from a high temperature source to a lower temperature region called a

    sink. There are two ends - hot and cold - in a heat pipe. By providing a heat source to the hot

    end, the fluid in the saturated liquid phase will evaporate, taking heat in, and the vapor will

    transfer the heat to the cold end. At the cold end the fluid in the saturated vapor phase will

    condense, releasing the heat, and return to the hot end by capillary action in the saturated liquid

    phase to continue the cycle [1]. The design of a heat pipe is broken down into three parts. The

    first is a vessel that seals the working fluid and capillary wicking structure. This vessel can be

    made from any pipe, such as steel or copper. Next, inside the vessel is the wick structure. The

    wick structure enables the working fluid to move from the condensed section back to evaporated

    section. Finally, the last necessary part in a heat pipe is the working fluid. This fluid is what will

    be condensed and evaporated inside the heat pipe. This fluid helps make the heat pipe work [2].

    Using these key parts of a heat pipe, these parts will be integrated into a cooking pot.

    This heat pipe will be integrated into a cooking pot design that will reduce the amount of

    heat loss and time spent in cooking. Heat pipes are typically not used for cooking and this design

    will be a test for the applicability of if heat pipes can change the way people cook. The cooking

    pot will be designed by applying the concepts and theory of heat pipes. The heat pipe will be

    positioned at the center of the cooking pot. An electrical source will also be included. This

    electrical source will convert electrical energy into heat. This heat will heat the hot end of the

    heat pipe. The cooking pot will also include a lid that will seal the heat in.

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    2. Technical Activities

    The major task is the construction of the heat pipe that is centered on the cooking pot. First,

    will be the designing and testing of the heat pipe. With an understanding of the best materials for

    the heat pipe, then the cooking pot can be integrated and tested. Once the most suitable heat pipe

    is created, it will be integrated into a cooking pot. The heat pipe should be molded into the center

    of the pot. Underneath the heat pipe will be an electrical tape which will generate heat from

    electricity, then it will be convert the electrical energy into thermal energy. This generated heat

    will heat the heat pipe and allow for the heat transfer process to begin, which then allows for heat

    to be released into the thermal cooking pot. Figure 1 below shows the initial design proposal in

    detail on how the cooking pot will be designed.

    Figure 1: Schematics of the cooking pot

    2.1 Cooking Pot Design

    Once the heat pipe is built it will be integrated into a cooking pot. This cooking pot must

    be sealed tight to insulate the heat. The material the pot will be made of is stainless steel. This

    material was chosen for its safety in cooking to protect the consumers buying the product.

    Stainless steel is nonreactive, meaning it will not break down into the food or liquid being

    cooked with it. The dimensions of the pot will be roughly 14 to 16 inches high for it to be able to

    fit the heat pipe inside. The width will also be about 14 to 16 inches long and 9 inches wide.

    These dimensions were chosen, so it could fit all types of food including meat such as beef or

    turkey. The heat pipe will also be fitted into the bottom of the cooking pot, so there will be a

    sealed hole at the bottom for the heat pipe to fit in.

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    2.2 Heat Pipe Design

    I. Working Fluid

    Within the heat pipe, an important factor is the application of the heat pipe is the

    working fluid. The latent heat of vaporization must be considered with the working

    fluid as well.

    The latent heat of vaporization is the energy required to transform an amount of

    something from a liquid to a gas at a certain pressure. This process often will boil

    the working fluid at a point below the atomic pressure boiling point. The idea of

    water was considered as a working fluid. For water as a working fluid, it will

    typically boil at a low temperature of around 0 C [3]. This is because the heat pipe

    contains a vacuum allowing the fluid to boil below the atomic pressure. With the

    ability to boil at lower temperatures, water can be a more attractive working fluid

    because the transition from liquid to gas can happen quicker as oppose to other

    fluids [3].

    A wide range of working fluids can be used for a heat pipe, but for this project

    pure water was chosen as the most suitable working fluid. For food to cook, the pot

    needs to reach temperatures up to 100 degrees Celsius. Water has a temperature

    range from 5 to 230 Celsius [4]. This is in the perfect range for what is needed to

    cook food in the cooking pot. When compared to other working fluids water

    seemed to be the best fit. Liquid ammonia was considered however its temperature

    range was from -70 to 60 Celsius [4]. Its highest temperature was not hot enough to

    meet cooking standards. Also, it is extremely crucial to use non-toxic working

    fluids due to the fact that the heat pipe will be used in cooking applications. So,

    water again proves to be the best of the working fluids for this project because of

    its excellent thermal properties.

    II. Wick (Copper-mesh)

    Metal copper mesh will be the wick used in the heat pipe. Inside the hollow copper

    pipe, the mesh will be lined and it will transfer the fluid in the liquid phase using

    capillary action to heat the hot end of the pipe in order to start a new cycle. Mesh is

    a very porous material and will be very useful for capillary action. However, the

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    pores must be small in the mesh to allow an increase in flow resistance and high

    capillary pressure. To get the maximum capillary pressure the following equation

    can be used [5]:

    Pcap = 2

    In the above equation, the capillary pressure is equal to two times the surface

    tension, sigma (), divided by the radius of curvature in the tube (r). For the mesh in

    the heat pipe, 20 x 20 meshes rolled up and layered with cloth will be used. A

    picture of the mesh is below in Figure 2.

    III. Vessel(Copper Pipe)

    A copper pipe will be used as the outside vessel. Copper will be used because it is

    able to heat up and release heat more efficiently than some other metals. One factor

    that is important to keep in mind is the thermal conductivity of copper. It is

    important that the heat pipe is cycling the heat. With the use of Fouriers Law, in

    the equation below, the appropriate length of the copper can be determined [6].

    Figure 2: Heat Pipe Materials

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    q = (k A dT ) / s

    In the equation above, the conductive heat transfer is equal to the thermal

    conductivity (k), the heat transfer area (A), and the temperature difference (dT)

    divided by the material thickness (s). This conductive heat transfer will then be

    expressed in units of watts. The size dimensions for the heat pipe must be

    considered as well. The heat pipe must be small enough to fit inside the cooking

    pot which is 14 inches; therefore it can only be around half a foot long. The

    diameter of the pipe will be half an inch. Figure 3 below shows the picture of the

    final design of the heat pipe.

    2.3 Electrical Design

    With the heat pipe now created, it will need to be heated up. The best option chosen for

    the cooking pot will be electrical heat tape. This heat tape will be wrapped around the bottom of

    the heat pipe. This tape is heated by electricity. The tape can generate the heat necessary to heat

    the heat pipe. This temperature desired is 200 degrees Celsius at the bottom electrical plug will

    Figure 3: Principle of a heat pipe

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    be used to heat up the heat pipe. Three tests were performed to obtain maximum satisfactory

    working condition of the heat pipe. Fouriers Law was used to determine the heat transfer on a

    cylindrical surface i.e. the heat pipe. The surface area (A) for transferring the heat is directly

    proportional to the radius of the pipe (r) and the pipe length (l). This gives us the following

    equation [7]:

    Because the exact radius of the heat pipe was known and also knowing that as the radius of the

    inner pipe and the outer pipe increase so does the heat transfer area, the Fouriers Law equation

    was used to determine the heat transfer [6].

    In the above equation, the heat transfer (Q) is equal to the conductivity constant (k) times the

    surface area (A), determined above, by the change in temperature divided by the change in pipe

    radius.

    Figure 4: Heat tape being wound on a heat pipe

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    2.4 Cooking Pot Design

    The final design can be shown in Figure 7. When the cooking pot and heat pipe come

    together, it will look like the figure below. The cooking pot is made of stainless steel and the heat

    pipe is centered in the middle of the pot. The cooking pot dimensions are 6in radius and 12 in

    height. The pot can hold about 4 gallons of water by solving for the volume of the pot and then

    changing the units. The equation for the volume of a cylinder is in the equation below, where r

    equals the radius and h equals the height:

    Volume =

    To hold the cooking pot and the heat pipe together, holes were screwed into the pot and

    the section to hold the electrical heat tape container. Then, the heat pipe was put into those holes.

    To cover up the holes and seal the stainless steel and heat pipe together, epoxy was used. Epoxy

    can withstand temperatures of up to 550 F, so it would not melt in the application.

    Figure 5: Cooking Pot Design

    3. Results

    To make sure that a desirable working condition for the heat pipe were met; multiple tests

    were performed and each produced different results. The setup of the heat pipe testing can be

    shown below in figure 8. The heat pipe was held vertically on a stand. On the top part of the

    heat pipe a sensor was attached to measure the heat coming out. This sensor was connected to a

    block calibrator that converted the values of the sensor to temperatures. The dryer was the heat

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    source, getting as hot as 200 C plus to heat the pipe. Aluminum foil was also added towards the

    bottom of the heat pipe to concentrate the heat.

    On the first test and second test, a leakage was found on the copper cap due to the

    inadequate soldering. The third test produced satisfactory results and the following data and

    result were obtained. A 100mL graduated cylinder was used to measure the amount of water the

    heat pipe can hold. The volume of the tested heat pipe measured 22mL of water. This means that

    the amount of water used in the heat pipe will be one third of the pipes volume, 11mL. The

    copper was heated for duration of 5 minutes. A record of the temperature was taken at 30 second

    intervals with a starting temperature of 24.7C. The test was stopped once the temperature had

    reached the desired temperature of 100C at the top of the pipe, which is a temperature hot

    enough to boil water. Water from the copper pipe was measured again after the test to ensure no

    leakage took place. The measurement showed no loss of water.

    An excel sheet was used to graph the temperature range. Figure 9 below shows the data

    recorded every 30 seconds. Figure 10 below shows a steady linear increase of temperature as

    predicted.

    Figure 6: A detailed image of testing the heat pipe

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    Figure 7: Temperature Data

    The cooking pot was also tested to see if the goals would be met. The setup for testing

    began with plugging in the electrical heat tape, to act as the heating source, as well as fill the

    cooking pot with water to the top. Water was used to see if it would boil. Placed in the water was

    a sensor that sensed the temperature of the water. With the setup complete, testing could begin.

    The sensor reading began with an initial temperature of 27.7 C. After 25 minutes of testing, the

    sensor had reached 33.8 C. The graph in figure 11 below shows the data tested. The temperature difference after 25 minutes was 6.1 C. For the water to reach a desired temperature of 100 C, it

    would take about 8.5 hours. This time proved to be undesirable to the goals that were trying to be

    reached, such as decreased cooking time. 8.5 hours will be too long to boil water. Even though

    the cooking pot failed to give the desired results, the heat pipe inside was still reaching the

    desired temperatures. The amount of water to boil was just too much.

    Figure 9: Cooking Pot Testing Data

    Figure 8: Graph of Temperature vs. Time

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    4. Future Work

    After a number of tests, it was observed that the heat pipe was not able to efficiently

    heat the water in comparison to commonly used conventional methods such as the heating the

    water on a stove top or heating it by fire. The main drawbacks of this prototype were, firstly, the

    heated part of the copper pipe did not have considerable surface area in contact with the bottom

    half of the container as it was encapsulated by the steel cup which did reduce its efficiency.

    Secondly, choosing a large control volume such as the 12 quartz container seemed to also have

    reduced a hypothetical amount of efficiency in comparison to its smaller surface area heat pipe.

    Thirdly, the lack of insulation around the heat tape which was wound around the heat pipe could

    have also reduced the efficiency as some amount of heat was dissipated during the transfer

    process of the heat from the heat tape to the heat pipe.

    Fig 10: Condensation on the lid Fig 11: Slow condensation on the walls

    Future improvements to the project can be made by tackling the above identified

    drawbacks. To fix the issues of insufficient surface area of contact and ineffective heating of the

    lower half of water in the container, a longer pipe bend to occupy the base within the pot in a

    circular design can be utilized. This would make the heating process more efficient by heating

    the cooler layer at the bottom, as well as providing enough area of contact with the water.

    Reducing the volume of water heated by choosing a smaller container would enable quicker

    results. If the amount of heat transferred by the heat pipe can heat up a certain volume of water in

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    a reasonable amount of time, the volume of the container should be close enough to that certain

    volume. Otherwise, a bigger heat source and pipe will have to be used to make up for the

    additional volume of water. Lastly, addition of insulation to the exposed side of the heat tape

    would aid in the better utilization of the heat produced. Since the heat tape is double sided, the

    insulation would prevent the loss of the other half of energy produced on the exposed side to a

    significant degree, and redirect it to the heat pipe making a more efficient connection between

    the heat tape and the heat pipe. Thus, a higher temperature can be obtained from the heat pipe.

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    References

    [1] Heat Pipes, Cooler Master,[online]

    2013, http://odm.coolermaster.com/manufacture.php?page_id=8 (Accessed: April 10, 2013).

    [2] P. Kew and D. Reay, Heat Pipes: Theory, Design and Applications, 5th

    Ed. Burlington:

    Buttenworth-Heinemann, 2006.

    [3] Heat Pipe Technology, Thermacore, [online] 2013, http://www.thermacore.com/thermal-

    basics/heat-pipe-technology.aspx (Accessed: June 4, 2013)

    [4] Typical Operating Characteristics of Heat Pipes, Enteron, [online] 2006,

    http://www.enertron-inc.com/enertron-products/heat-pipe-selection.php (Accessed: May 2013)

    [5] Conductivity Heat Transfer, EngineeringToolBox, [online] 2013, http//www/engineeringtoolbox.com

    (Accessed: April 30, 2013)

    [6] Heat Transfer Engineering, Engineers Edge, [online] 2013, http/www.engineeringedge.com

    Accessed: May 4, 2013)