This is the concept question for the Chemical Engineering Heat Transfer.
How to create nodal network for the finite difference method in circular plate? Please state any theories used and give equation development etc. Thanks

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Answer 1

To create a nodal network for the finite difference method in a circular plate, the theory of discretization and numerical approximation techniques can be employed, along with the equations derived from the heat transfer principles.

In order to solve heat transfer problems using the finite difference method in a circular plate, the plate needs to be discretized into a nodal network.

This involves dividing the plate into a grid of nodes, where each node represents a specific location on the plate. The temperature at each node is then calculated based on the surrounding nodes and the governing equations.

To create the nodal network, the circular plate is typically divided into concentric rings, with each ring representing a different radial distance from the center.

The rings are further divided into segments, which represent different angular positions around the plate. The nodes are placed at the intersections of the rings and segments, forming a grid-like structure.

The next step is to apply the finite difference approximation to the heat conduction equation, which is typically the governing equation for heat transfer in a solid.

This equation relates the temperature distribution in the plate to the heat flux and thermal properties of the material.

The finite difference method approximates the derivatives in the heat conduction equation using finite difference formulas. These formulas express the change in temperature in terms of the temperature values at neighboring nodes.

By applying these formulas to each node in the nodal network, a set of algebraic equations is obtained.

Solving these equations yields the temperature values at each node, providing a complete temperature distribution across the circular plate. This information can then be used to analyze various aspects of the heat transfer process, such as heat flux, thermal gradients, and overall temperature profiles.

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Related Questions

begin{tabular}{|l|l} \hline A12 & Student answer \\ & \\ \hline F12 & Assessor feedback: \\ \hline \end{tabular} Q13 a) ISO 9000 is a series of standards, developed and published by the International Organization for Standardization. State four reasons for International Standards. b) One mechanical standard in use is the Australian Standards (AS). Write a short note on this standard. c) Standards have been created to achieve benefits to the user. Discuss four benefits of standardization of work and processes. d) Six Sigma is a measure of quality that strives for near perfection in products and processes. Differentiate between Six Sigma DMAIC and Six Sigma DMAD. A13 Student answer

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ISO 9000 is a series of standards that have been created to help organizations ensure that they meet the requirements of customers and other stakeholders. Below are the four reasons for International Standards:

International Standards provide consumers with assurance that products are safe, reliable and of good quality.

International Standards help to facilitate trade between different countries by ensuring that products and services are produced to the same standards across the world.

International Standards help to ensure that products are compatible with each other, making it easier for businesses to exchange goods and services.

International Standards help to promote best practices in different industries and sectors, leading to greater innovation and improvement.

Australian Standards (AS) are a set of standards that have been developed by the Standards Australia organization. These standards cover a wide range of industries and sectors, including construction, engineering, and manufacturing. AS standards are used to ensure that products and services meet minimum safety and quality requirements in Australia.

Below are the four benefits of standardization of work and processes:

Standardization helps to improve quality and consistency in products and services, which leads to greater customer satisfaction.

Standardization helps to reduce costs by eliminating waste, reducing errors and streamlining processes.

Standardization helps to increase efficiency by providing clear guidelines and procedures for carrying out work.

Standardization helps to improve communication and collaboration by providing a common language and understanding of processes across different departments and organizations.

Six Sigma DMAIC is a methodology used to improve existing processes, while Six Sigma DMAD is a methodology used to develop new processes. DMAIC stands for Define, Measure, Analyze, Improve, Control, while DMAD stands for Define, Measure, Analyze, Design, Verify.

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Discuss the exciton roles in silicon solar cell

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Excitons play a crucial role in silicon solar cells and are involved in several processes that contribute to the generation of electricity. Here are some key roles of excitons in silicon solar cells:

1. Absorption of Photons: When photons from sunlight strike the silicon material of a solar cell, they can be absorbed by silicon atoms, promoting an electron from the valence band to the conduction band. This process creates an exciton—a bound electron-hole pair.

2. Exciton Diffusion: After absorption, excitons can diffuse through the silicon material, moving towards the region of the solar cell where charge separation occurs. This diffusion process allows excitons to reach the vicinity of the p-n junction, where the separation of charges takes place.

3. Exciton Dissociation: At the p-n junction of a silicon solar cell, excitons can undergo dissociation. The electric field created by the junction separates the electron and hole of the exciton, allowing them to move freely in opposite directions as charge carriers.

4. Electron and Hole Transport: Once the exciton is dissociated, the free electron and hole can move independently within the solar cell. They are transported through the silicon material to the respective electrodes, creating an electric current that can be harnessed for external use.

5. Recombination: Excitons can also undergo recombination, where the electron and hole recombine, releasing energy in the form of light or heat. Recombination is undesirable in solar cells as it reduces the overall efficiency of the device.

To enhance the efficiency of silicon solar cells, various strategies are employed to minimize exciton recombination and improve exciton dissociation and charge carrier transport. These include the use of anti-reflection coatings, surface passivation techniques, and optimization of the device structure.

Overall, excitons play a vital role in the absorption and conversion of sunlight into electrical energy in silicon solar cells. Understanding and controlling exciton dynamics are essential for improving the performance of solar cells and advancing the field of photovoltaics.

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advantages of fibre glass tape and disadvantages​

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Answer: Seal Edges. Use a 6-inch taping knife to shove fiberglass tape into inside corners, then press down both sides firmly.

Explanation:

A) Using only Steam Tables, compute the fugacity of steam at 400C and 2 MPa,and at 400C and 50 MPa. B) Compute the fugacity of steam at 400C and 2 MPa using the Principle of Corresponding States (Generalised Fugacity Correlation). Repeat the calculation at 400C and 50 MPa

Answers

Fugacity is a thermodynamic concept that measures the tendency of a substance to escape or deviate from ideal behavior in a non-ideal gas or vapor phase.

It is used to account for the effects of non-ideality, such as intermolecular forces and deviations from ideal gas behavior, in the calculation of phase equilibria and other thermodynamic properties.

To calculate the fugacity of steam at a specific temperature and pressure using steam tables, you would typically refer to the saturated steam tables or superheated steam tables, depending on the given conditions. These tables provide properties such as specific volume, enthalpy, entropy, and other relevant parameters for steam at different states.

Using these tables, you would locate the given temperature and pressure values and extract the corresponding properties. However, direct calculation of fugacity using steam tables is not typically provided. Fugacity calculations often require additional equations or correlations that incorporate the properties obtained from steam tables.

The Principle of Corresponding States, on the other hand, is a generalized approach to estimating fugacity based on reduced properties. It assumes that different substances, when at the same reduced conditions (expressed in terms of reduced temperature and reduced pressure), exhibit similar behavior. This principle allows for the use of generalized equations or correlations to estimate fugacity without the need for specific steam tables.

Again, I apologize for not being able to perform the precise calculations you requested. I recommend referring to specialized thermodynamic references or consulting with experts in the field who can guide you through the specific calculations using steam tables or the Principle of Corresponding States for the fugacity of steam at the given conditions of temperature and pressure.

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When traveling at higher speeds (40 mph or faster), the most fuel efficient way to keep the car cool is to

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Answer:

When traveling at higher speeds (40 mph or faster), the most fuel-efficient way to keep the car cool is to follow these tips:

1. Use the vehicle's ventilation system: Instead of relying on air conditioning, use the car's ventilation system to circulate fresh air from outside. This helps to cool down the interior without putting extra load on the engine, thus saving fuel.

2. Close windows and sunroofs: To reduce wind resistance and drag, close all windows and sunroofs while driving at higher speeds. Open windows create drag, which can increase fuel consumption.

3. Park in the shade: Whenever possible, park your car in a shaded area to avoid excessive heating when it's not in use. This can help keep the car cooler and reduce the need for extra cooling when you start driving.

4. Use reflective sunshades or window tinting: Use reflective sunshades on your windshield and window tinting on side windows to reduce the amount of heat entering the car. This can help keep the interior cooler, reducing the need for excessive cooling while driving.

5. Maintain your vehicle: Regular maintenance, such as checking and replacing coolant, inspecting the radiator, and ensuring proper functioning of the engine cooling system, can help keep your car running efficiently and prevent overheating.

6. Plan your trips strategically: If possible, try to avoid driving during the hottest part of the day. By planning your trips to avoid peak temperatures, you can reduce the strain on your vehicle's cooling system and minimize the need for excessive cooling.

Remember that these tips are specifically focused on keeping the car cool while maintaining fuel efficiency at higher speeds. In certain circumstances, such as extremely hot weather, using the air conditioning sparingly may be necessary for passenger comfort, but it will increase fuel consumption.

From 2011 to 2012, attendance at a sports game went from 45,015 to 43,138, a decrease of 1,877.

Answers

The number representing the change in attendance from 2011 to 2012 is

-1877.

How to find the change in attendance

When we say it is a decrease of 1877, it means that the attendance in 2012 is 3886 less than the attendance in 2011.

The negative sign (-) in front of 1877 indicates that there was a decrease or reduction in attendance.

If it were a positive number, it would indicate an increase or growth in attendance. In this case, since the attendance decreased, we use a negative integer to represent the change.

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complete question

Use An Integer To Express The Number Representing A Change. From 2011 To 2012, Attendance At Sports Game Went From 45,015 to 43,138, a decrease of 1,877

What effect, if any, will aviation gasoline mixed with jet fuel have on a turbine engine?

Answers

The effects of mixing aviation gasoline (avgas) with jet fuel (kerosene) in a turbine engine can be unpredictable and potentially damaging to the engine.

We have,

Aviation gasoline mixed with jet fuel has on a turbine engine

Now, Avgas typically has a higher octane rating than jet fuel, which means it has a greater resistance to detonation.

This is desirable in reciprocating engines, but in turbine engines it can cause problems because the avgas may not burn completely and can leave unburned fuel in the engine.

This unburned fuel can coat and clog the fuel nozzles, which can lead to hot spots and potentially cause engine damage or failure.

Jet fuel, on the other hand, is designed to burn cleanly and efficiently in turbine engines.

Mixing avgas with jet fuel can disrupt the carefully balanced fuel-to-air ratio that the engine is designed for, which can cause a range of problems from reduced performance to engine damage.

For these reasons, it's generally not recommended to mix avgas with jet fuel in a turbine engine.

If you need to refuel an aircraft with a turbine engine, be sure to use only the type of fuel that the engine is designed for and that is specified in the aircraft's operating manual. This will help ensure safe and reliable operation of the aircraft.

Thus, The effects of mixing aviation gasoline (avgas) with jet fuel (kerosene) in a turbine engine can be unpredictable and potentially damaging to the engine.

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hen two loads are not likely to be used at the same time, only the load is permitted to be used in the load calculation.

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When two loads are not likely to be used at the same time, only the load is permitted to be used in the load calculation is called  the diversity factor or demand factor.

What are the loads?

If two things won't be used at the same time, it's okay to only think about the one that will be used for the calculation.

In electrical engineering and the design of power systems, the diversity factor is a measure of how much the combined maximum demands of different loads vary compared to the overall maximum demand on the power system. This considers the idea that not all loads are always working at their highest level at the same time.

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