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Material Type: Assignment; Class: HVAC Systems; Subject: Mechanical Engineering; University: University of Idaho; Term: Unknown 2008;
Typology: Assignments
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a) Solving easy simultaneous algebraic equations:
i) click on File: New ii) type in the following: y^2 + 2x = 5 x^2 + 5y = 29 iii) click on C alculate: Check/Format -----the program will check your syntax and count up your equations and unknowns. iv) click on Calculate: Solve. The program will solve the problem and let you know how long it takes, plus the residual error in your numbers. Hit continue and check your answers.
v) Now take a look at several features: a) Click on Options: Variable Info a table will pop up with your variables listed (x and y in this case), as well as the limits on the variables that it used when it calculated the solution. b) On the Variable Info table, click on Update. This will update the guesses on x and y to the answers that were calculated when you ran the solution. This table is where you can set to use exponential notation (under the Display section), and also give your variables units. Give x and y both units of kg/s, and make them fixed decimal with three places. You can also print this table from here. Hit OK to close the table.
c) There are a lot of choices under the Options heading. (1) Options: FunctionIinfo will give you a list of all the functions (such as ARCCOS, LN, etc.) what they are and how to call them. It also lists all the thermophysical properties (such as h, Cp, etc.) that are available, and tells you how to call them!!! (2) You can also deal with units, or change the limits on the numerical convergence criteria. (i.e., you can make it either come closer to the actual answer, or make it converge more quickly or more easily. Go to Options: Stop Criteria and make the “ Change in Variables ” less than 10 -10^. Run the program again and see if the answers are the same as the first time. (3) You can customize the appearance, etc. by using Options: Preferences
So what we will do instead is let n vary to get our minimum cost over the 20 years. b) Click on Calculate: Min/max a box will pop up asking whether you want to minimize or maximize (tell it min), what you want to minimize, (tell it Cost) and what you what to be your independent variable (tell it n). (You can play with the Search method if you want, but I usually don’t bother unless I have trouble getting a solution.)