This following is related to the field of electrical appliances and gas appliances; concretely related to the component of the oven; specifically with a cylindrical cavity, for use in manufacturing domestic use ovens destined for cooking food in the home. This cylindrical cavity will be a part of full ovens and electrical appliances, including gas ovens, electrical ovens, flush mounted ovens and toaster ovens for domestic use.
Currently, the appliances industry uses the concept of ovens with a square-section cavity, consisting of a rigid structure to which heat is applied using gas burners or electric resistances.
The fact that the section conventionally used in ovens is square means that the heat generated by the heat source isn't distributed uniformly within the oven's volume, and low temperature zones are formed within the vortexes of the same.
An oven using a cylindrical cavity for domestic ovens improves this situation considerably; it is more efficient and consumes less energy. This can be concluded by applying the proven formulas and methods for this purpose.
According to Incropera (1), heat transfer is produced in ovens by convection, due to the global movement of the molecules between liquid and gaseous states. The rate of heat transmitted from the surface of one hot body to another by convection is given by:
q=hAΔT 1 INCROPERA, Frank & DeWITT, David. Fundamentos de transferencia de calor. 4th ed. Prentice Hall: Mexico. 1999. 912 p.
Where:
q=heat transfer rate
h: film heat transfer coefficient, which depends on geometry, with a circular cavity being more efficient as it improves heat flow. When the corner is a right angle the heat doesn't flow in the same way. In ovens that use square cavities, the “turbulence” generated by the right angles increases the heat of the chassis, not of the food.
A: Is the surface area. There are no dead areas when the circular cavity is used and the oven's volume is more effective, since in ovens using square surfaces, more heat is needed to fill the entire volume.
ΔT: The temperature difference between the heat source and the fluid.
The Nusselt Number (Nu) is an a-dimensional number (a constant reached after prolonged research) that measures the increase in heat transfer from a surface over which a fluid flows.
In a circular tube characterized by a uniform superficial heat flow and fully developed laminar conditions, the Nusselt number is a constant, independent of ReD (the Reynolds number), Pr (the Prandt number) and the axial position.
This formula is used to calculate the value of “h” in the initially described formula, used to obtain the rate of heat transfer from one hot body to another by convection.
Where h is the film heat transfer coefficient, D is the diameter of the tube and k the thermal conductivity of the fluid. Many engineering applications imply convection transport in non-circular tubes. In a non-circular tube, convection coefficients vary around the periphery, approaching zero in the corners. Therefore, when using a circular cavity, this coefficient is an average over the entire perimeter, and no temperature variations exist on the inside.
For laminar flow, the use of circular tube correlations is less precise, particularly with cross sections characterized by sharp corners. In these cases, the Nusselt number corresponding to fully developed conditions can be obtained from the following table, based on the solutions to differential equations for flow momentum and energy along the different tube cross sections.
The Nusselt numbers tabulated for uniform surface heat flow assume a constant flow in the axial direction (flow), but a constant temperature around the perimeter of any cross section. [Incropera, 1999, p448]
Nusselt had defined number “4,36” but for this number to valid, we need to use the same conditions he used, i.e., a square oven. What Icropera did was adjust the table and the measurement to circular geometric shapes, i.e., 3,66.
Description of the Test for Verifying an Oven's Energy Efficiency
The previous information is useful for theoretically calculating an oven's energy efficiency. The following type of assay has the goal of proving the theoretical calculations experimentally.
The oven is operated under normal operating conditions and an aluminum mass is located on the center or wherever the supports (shelves) allow. The assay ends when the mass has achieved an increase of 50K. The gas supply is cut off and the final values for the block's temperature are recorded waiting for its temperature to stabilize. Finally the gas volume is totaled. The model used for the efficiency calculation is the following:
Where:
m: Mass of the aluminum block.
Cp: specific heat of the aluminum =0.836 Kj/kg° K.
ΔT: Temperature increase for the aluminum block: 50K for this assay.
Vn: measured gas volume carried to standard reference conditions.
PCS: higher calorific power of the gas at standard reference conditions.
General conditions for the assays.
Current Applications for Ovens with Cylindrical Cavities
The concept of ovens with cylindrical cavities is currently used in industrial, metallurgical, ceramic applications, among others. This concept is also used in laboratories. These uses mean that these ovens are extremely different artifacts to the cylindrical cavity for domestic ovens, which provide important energy savings, the possibility of being assembled from pieces, which make them easier to transport, and with much lower costs and materials than other ovens with this type of cavity, which make it more appropriate for domestic use.
The cylindrical cavity for domestic ovens allows domestic ovens to improve their energy efficiency and heat food more rapidly.
The a cylindrical cavity for domestic ovens facilitates the movement of hot air allowing it to reach all the points inside the oven, it helps the heat accumulated on the walls to be reflected by radiation in a uniform manner to every area where the sources with the food to be cooked may be located.
In ovens using a cylindrical cavity for domestic ovens, the heat source is located at the chamber's focal point. The net effect of this arrangement can be approximated to the creation of a uniform heating effect inside the cylinder; i.e., one can assume that the resulting flow of heat to the fluid q″s is a constant along the length of the circumference. 2[p 440].
Although a circular oven's useful volume is 10% less than the standard shape, this doesn't affect its normal use, taking into account that the maximum width of a circular oven (38 cm) allows introducing a wider tray than a standard oven, which can only take up to 35 cm trays.
The best shape for an oven is cylindrical. There are many reasons for this. When one analyses heat flux data (flow per unit of area W/m2) presented in Table 1, calculated by Incropera, and also when one compares theoretical heat transfer values for rectangular ovens, one finds that:
When the oven's base to height ratio is 1,43, the heat flux is 3,73.
According to this, heat transfer in circular ovens is more efficient, and equals 15%.
Besides, in the aforementioned experimental tests we can observe that energy consumption efficiency is 29% compared to the square section oven in
Figure showing the cylindrical cavity for domestic ovens in perspective.
Showing an “exploded” graphic allowing identification of the components of the cylindrical cavity for domestic ovens.
Schematic of the side panels. 2 INCROPERA, Frank & DeWITT, David. Fundamentos de transferencia de calor. 4th ed. Prentice Hall: Mexico. 1999. 912 p.
Front Chassis Schematic
Schematic of the Rear Cover
The cylindrical cavity for domestic ovens consists of a metal chassis assembled using several panels called the left side panel (
Initially the metal sheet advances along a conveyer belt until reaching a programmed limit. There it is cut according to the size of each panel, resulting in square shapes. Each shape is then introduced into a sheet-shearing machine where it is crop cut, and then the shape is pushed in as far as it will go and the cutting of the part's shape continues.
The cut panels then move to the stuffing machines, die shears and folding machines, which, with the help of other tools, begin the process of transforming the initial blanks.
The, the left (
Then, the part that will make up the chassis front (
In order to build the diffusor base (
The parts described are then submitted to a self-cleaning process via a process of immersion and the application of enamel using a pneumatic pistol to the parts that make up the chassis' panels. This is applied to the chassis front, side panels, chassis back, rear cover and diffusor base. Then they are passed through a drying oven.
Once the parts that will make up the cylindrical cavity for domestic ovens have been manufactured, self-cleaned and enameled, the artifact is assembled. The left and right panels are fixed with 5 rivets and, once they are assembled they are fixed to the back cover with 9 rivets. Then the front chassis is attached to the side panels with 9 rivets and finally the diffusor base is fixed to the chasis with 10 rivets. This finally configures the cylindrical cavity for domestic ovens.
Filing Document | Filing Date | Country | Kind | 371c Date |
---|---|---|---|---|
PCT/IB2009/007957 | 12/29/2009 | WO | 00 | 6/25/2012 |