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Tutorial (TOC) > Navigation |
| | A: Quick Navigation | B: Page Layout | C: Select a Daemon | D: Select a Material Model | |
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A. Quick Navigation |
| Fig. 1 Image of task bar, the launch pad for different TEST components including this tutorial. Resize your browser wide enough to show the version number that appears on the right edge of the task bar. |
Map: Shown in Fig. 2 is an image map, called the TEST map, which provides direct link to important TEST pages. If you are an experienced user of TEST, you can bypass the step-by-step simplification process, discussed later, and jump to the desired daemon page using the Map, linked from the task bar. The organization of the map is not arbitrary, but based on the standard approach of simplifying thermodynamic systems.
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| Fig. 2 Image of TEST-Map displaying the tree-structure of TEST. Each node links to a different daemon family. |
The daemons are organized into three branches: (1) Basic daemons branch offers rudimentary tools such as unit converter, scientific calculator, and traditional charts and tables. (2) The state daemons are for finding properties of thermodynamic working substances - from steam to moist air. They are divided into two groups - system-state daemons for finding states of a substance occupying a fixed volume, and flow-state daemons for finding states at different cross-sections of a flow. (3) The system daemons are divided into various categories and their classification is discussed in more details in the daemon locator section in this tutorial.
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| | A: Quick Navigation | B: Page Layout | C: Select a Daemon | D: Select a Material Model | |
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B. Page Layout TEST Page Address: When you browse a few TEST pages, you will find a lot of similarities among them. Let us start with the TEST.Daemons page. Launch a new TEST window alongside this tutorial and switch to the daemons page by clicking the Daemons link on the task bar. Figure 3 shows a partial image of the page you will see. |
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| Fig. 3 Each TEST page, like this Daemons page, has a similar layout. |
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You will notice several things on this page that is common to all TEST pages. The header consists of a title, an unique hierarchical address of the page (TEST.Daemons in this case), and an iconic representation of the address. The
icons, designed to remind you the series of assumptions that lead to the current
page, provide links to the ancestor pages.
A simplification table describing all possible destination pages from the current page is displayed right below the header. During a problem solving session, you will read the description of each child page and decide on the most appropriate destination that best fits the problem at hand. |
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| Fig. 4 Image of the TEST.Daemons.Systems page. Note the similarities of this page with its parent page TEST.Daemons (Fig. 2) . |
Click on the Systems icon to bring up TEST. Daemons. Systems page (Fig. 4). The new simplification table offers only two choices for a system: Open or Closed. If we click on the open branch, the new page that will be displayed would be daemons.systems.open. Note that you can reach that page directly from the Map by clicking the open node. Now open the daemons.systems.open.process page. |
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| Fig. 5
System animations on the Daemons.Systems and Daemons.Systems.Open.Process pages. |
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The Daemon Page: The leaf pages (pages at the end of a simplification trail) of the TEST-tree is where the daemons are embedded. The goal of a successful navigation is to locate the right daemon for the job. While an experienced user can use the Map to jump right into the right daemon, students of thermodynamics may benefit by going through a systematic search for the appropriate daemon page for a given problem. This is discussed next in the daemon locator. |
| | A: Quick Navigation | B: Page Layout | C: Select a Daemon | D: Select a Material Model | |
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C. Selecting a Daemon In this thermodynamically sound approach, you start at the TEST.Daemons page and allow the simplification tables to guide you toward the appropriate daemon. Once you understand how TEST classifies systems, you can use the TEST-Map. |
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Asking the right questions to classify a system daemons
C.1 Open vs. Closed System Daemons A system that allows mass transfer across its boundary (tubes and pipes carrying flow in and/or out of the system) is called an open system. A closed system, on the other hand, does not allow any mass transfer. The transport terms of the governing equations, therefore, drops out for a closed system. Visit the Daemons.Systems.Closed and Daemons.Systems.Open page, and compare the governing equations. |
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"Is there any mass flow across the boundary of the system?" Yes: Open system; No: Closed system. |
| C.2 Steady vs. Unsteady Daemons A system, open or closed, is steady when its global state - a snapshot taken with an imaginary state-camera, recording all the state variables (pressure, temperature, velocity etc.) at each location of the system at a given instant - does not change with time. While the state of the fluid flowing through a steam turbine continuously changes from the inlet to the exit, the picture of the turbine, with hot zones near the inlet and relatively cooler zones near the exit, exhibits no change over time as long as the system operates at steady state. The global extensive properties such as the total mass, energy, or entropy of the system, obtained by summing up the corresponding local properties over the entire system, therefore, do not change with time. Thus, dm/dt, dE/dt, and dS/dt=0, and the governing differential balance equations simplify to algebraic equations. Check out the governing equations in the Daemons.Closed.Steady page. |
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"Is the state of the system changing with time?" Yes : Unsteady system; No: Steady system. |
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Steady systems can both be open or closed. Beside trivial systems (for
instance, a piece of rock at a stationary state), closed steady systems can be found in closed-loop cycles, heat engines and refrigerators if the entire cycle is enclosed within the system boundary. TEST offers the Closed Steady Daemon, which is independent of the working substance of the cycle. It can be used for overall analysis
(finding efficiency, Carnot efficiency, COP, etc.) for such cyclic devices. If details
of the cycles are important, there are more advanced daemons such as the power cycle or the refrigeration daemons, which will be discussed in the specific branch, to be introduced below. Open steady systems, on the other hand, are abundant in applied thermodynamics and further classification is necessary to locate the right open, steady daemon. C.3 Unsteady Systems In most thermodynamic problems involving unsteady systems, we are generally interested in what happens over a finite period of time rather than an instant. During the period of interest, the system - open or closed - goes from a begin-state (b-state) to a finish-state (f-state) executing what is called a process. The governing equations are integrated between the two limits (b-state to f-state), producing process equations that are algebraic in nature. If instantaneous changes in the system is of interest, the system is called transient. |
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"Is there a clear begin-state (b-state) and a clear finish-state (f-state) in this unsteady system?" Yes : Process ; No: Transient. |
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There are no dedicated daemons
for transient problems in TEST since such problems are generally uncommon. Also, the transient term can be indirectly calculated by evaluating all other terms using the state daemons.
Examples of open processes include charging and discharging. If you are in this branch, simply select an appropriate material model for the working fluid to launch an appropriate open process daemon. Examples of closed processes in thermodynamics are plenty and, like open steady systems, require further classification. |
| C.4 Generic vs. Specific
Daemons Because most thermodynamic
problems belong to either closed-process or open-steady categories,
an artificial division is created between the general purpose problem
from special purpose topics listed below.
Specific topics on closed processes include: (i) air-standard cycles such as the Otto cycle, Diesel cycle, Ericson cycle etc., which execute a sequence of processes (strokes) on a closed mass of gas (Chapter 7); (ii) HVAC (Chapter 12); (ii) Combustion (Chapter 13). Specific topics on open-steady systems
include: (i) Gas power cycles such as Brayton cycle (Chapter
8); (ii) Vapor power cycles such as Rankine cycle (Chapter 9); (iii) vapor and gas refrigeration cycles (Chapter 10); (iv)
Psychrometry and HVAC (Chapter 12); (v) Combustion (Chapter 13); (vi)
Chemical Equilibrium (Chapter 14), and (v) Gas dynamics (Chapter 15). |
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"Does the problem involve a special topic listed above?" Yes: Specific ; No: Generic . |
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Generic problems involving
closed processes and open-steady systems are generally covered in the first half of most thermodynamics textbooks
(chapters 1-6 in
the textbook by Bhattacharjee) while specific system problems are covered
in the rest of the textbooks. Let us first look at the generic systems.
C.5 Closed Generic Processes - Uniform vs. Non-Uniform Systems A system is called uniform if a single state can represent its global state at any given time. Note that a uniform system must be made up of a pure substance (same chemical composition at all locations). |
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"Can a single thermodynamic state describe the entire system at a given time?" Yes : Uniform ; No: Non-uniform . |
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For uniform, generic, closed systems undergoing a process, all that is
left is to select a material model. The daemons that tackle such
systems are called closed process daemons.
Non-uniform systems have at least two identifiable uniform sub-systems.
If the sub-systems are allowed to mix (for instance, a valve connecting two
different gases in two tanks is opened), the system is called non-uniform mixing system. The finish state is defined by a single f-state if mixing
is allowed to go to completion. A variation of this daemon is the semi-mixing,
non-uniform daemon which allows partial mixing, resulting in a composite
finish state represented by fA and fB states. If the subsystems do not mix
at all (a hot block of copper dropped into a bucket of water), a non-uniform, non-mixing system results. Once you classify a problem down to this level, you are ready to
select the material model and launch the corresponding mixing ,
semi-mixing, or non-mixing
daemons. C.6 Open, Steady, Generic Systems - Single-Flow vs. Multi-Flow If an open system has a single inlet and a single exit, it is called a single-flow device. Most open-steady problems fall into this category. In Multi-flow systems, there must be multiple openings or ports at the system boundary resulting in more than one flow in and out of the system. If the flows remain separated as in a heat exchanger, such a system is called the multi-flow non-mixing device. On the other hand, if the flows are allowed to mix or separate, as in a mixing chamber or separation chamber, the system is called a multi-flow mixing device. |
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"Is there one inlet (i-state) and one exit (e-state) in the device?" Yes: Single-flow ; No: Multi-flow . |
| | A: Quick Navigation | B: Page Layout | C: Select a Daemon | D: Select a Material Model | |
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D. Selecting a Material Model Having classified the system, all that remains to be done is to classify the working substance, the last step before launching a daemon. TEST divides all working substances into four broad categories. (i) Solids and liquids are lumped into a single group because they are both characterized by constant specific heat and density. The model is called the SL model. (ii) Gases are sub-divided into three categories: Perfect gas or PG-Model is the simplest gas model with constant specific heats. Ideal gas or IG-Model, treats specific heats to be temperature dependent. The IG model, therefore, is more accurate than the PG model, especially if there is significant temperature change in a problem. Real gas or RG Model is a generalized model based on the compressibility charts (Lee Kessler simple fluid model or Nelson Ober compressibility chart). It is used mostly for gases under extreme pressure or very low temperature, at which the PC model (to be introduced shortly) lacks data. It should be kept in mind that the generality of the real gas model is achieved at the expense of accuracy. (iii) Gas Mixtures are sub-divided into binary mixtures of perfect (PG/PG), ideal (IG/IG), and real gases (RG/RG), or a general mixture of ideal gases (n-IG, n-PG). Moist Air , a mixture of dry air and water vapor, is also treated as a gas mixture. Dry air, a fixed mixture of oxygen and nitrogen, is usually treated as a pure gas rather than a gas mixture. In addition a general mixture of any number of components can be created for perfect and ideal gases. Finally the (iv) Phase-Change or PC Model, which is based on saturated and super-heated
tables, is the most accurate of all models. |
| Copyright 1998-: Subrata Bhattacharjee |