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AMME2200 Thermofluids
Creation date：2024-05-14 17:44:50
Belonging category：物理Physical
Thermofluids
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AMME2200 Thermofluids

 Thermodynamics
12 November 2021
Allowed writing time: 45 minutes

Instructions:
1. Solutions can be written on tablets/computers or on sheets of paper. You will need probably one
page per question.
2. Write your FULL NAME and SID on the very top of every page.
3. Number the pages sequentially at the bottom of each page.
4. Solutions: Solutions should be neatly written. Please make sure that you write the question number
at the start followed by the solution. Show your workings clearly and underline your answers.
5. Upload instructions to Canvas: Export your solution as a pdf or, if writing on paper, scan it by using
an App (eg. OneDrive, CamScanner) which combines multiple photos into a single pdf file.
6. Upload instructions to Canvas: ONLY one single pdf file can be uploaded on Canvas. Multiple
files and other formats will NOT be accepted.
7. You should stop writing after 45 minutes. You are then given an additional 15 minutes to upload
your answers on Canvas. Note that Canvas will not accept late submissions so it is important to use
the additional time only to prepare and upload your answers.
8. If you have technical difficulties uploading your files, please email the course coordinator.






Useful, quick reference data:
1atm = 101.3kPa
Acceleration due to gravity, g = 9.81m/s2
Tables and psychrometric chart are provided in the last page.



Attempt all questions

Notes:
1. REPLACE “Y” ADJACENT TO NUMBERS WITH THE LAST DIGIT OF YOUR SID:
(Example: if your SID ends in 5, then in Question 1, 1.Y kg/s = 1.5 kg/s
In Question 3: 3Y kg/s = 35 kg/s).



2
Question 1
A steady stream of carbon dioxide enters an adiabatic compressor at 100 kPa and 300K at a rate of 1.Y kg/s
and exits at 600 kPa and 450K. Neglecting the kinetic energy changes and assume constant specific heats
at room temperature, determine:

a) The temperature at the exit of the compressor assuming isentropic conditions (K).
b) The actual power input to the compressor (kW).
c) The isentropic efficiency of the compressor.


Question 2
A simple Brayton cycle using air as the working fluid has a pressure ratio of 10. The minimum and
maximum temperatures in the cycle are 295K and 1240K. Assume an isentropic efficiency of 83% for the
compressor and 87% for the turbine.
a) Show the cycle on a T-s diagram and label all processes.

Use constant specific heats at room temperature to determine:
b) The air temperature at the turbine exit (K).
c) The net specific work output (kJ/kg)
d) The thermal efficiency.


Question 3
A steam power plant operates on a simple ideal Rankine cycle between the pressure limits of 3MPa and 50
kPa. The temperature of the steam at the turbine inlet is 300 oC and the mass flowrate of steam through the
cycle is 3Y kg/s.

a) Show the cycle on a T-s diagram with respect to saturation lines.
b) Determine the power input into the pump (kW).
c) Determine the net power output of the power plant (MW)

General Data
mRTTR
M
m
PV u == Ru = 8.314 kJ/kmol-K
Room Temperature: Cp (kJ/kg-K) Cv (kJ/kg-K) k = Cp/Cv M (kg/kmol) R (kJ/kg-K)
Air 1.0 0.718 1.4 28.97 0.287
Carbon Dioxide 0.846 0.657 1.289 44.01 0.1889
Water:  = 1000kg/m3 C = 4.18kJ/kgK
Case category
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CMP7000A CMP-7038B Math 263 LAW3016 CS371 STAT 334 FIN0008 ACC3004 STAT 371 ​COMP1921 MTH201 ACCT2000 UN3412 CIV6000 MATHS 3021 MATE7014 ECON1 CIBC6035 LAW121G COMM 321 CSC8204R TTM2033 CSCI 2600 MAE 115 LNG302 CENV6175W1 ECON30019 CPS2015 BST969 DDES9015 AMATH242 CS 1151 N1592 ACCT600 EG503G SMM519 EC318 Ecstatistics EEE 471 MARK2051 Topology COM00037H ACCT3000 MTHM501 EG501V COM00055H BUSN9085 GGR273 MATH 2B ITD102 MA214 ECON0060 ECE3114 ECMM447 Mechanics CCT361H5S BSAN3210 WELF2001 Fin3001 RESP5001 STA 137 Linguistics 101 CSCI368 CMPSC497 LUBS3655 OMBA 5355 BUSM2562 ​BFF5902 CYBR7001 CULT2005 ECON 7720 MTRX3760 FSE598 ​LUE1001 MGSC 7100 CS3240 COSC7500 ACCT3091 INFOGR TRAN 2080 DESIGN CIVE215001 CIVE2360 CPSC 8430 FNCE2003 Stoichiometry INFS6023 Quantitative Method Math 21D ECE5179 Design ​ECON8022 Chemical DMS 213 ADM1370 BFF5902 BFF2701 AGRI10051 AMN400 ECON7322 ​FINC5090 ​MATH1052 ​SciComp Elec4622 ​FINS5516 ENG 101 MMM143 CS431CA2 BSAN2201 EBSC7070 ES9v9-10 PLIN0009 DATA 8 MATH 101 BCPM0097 ​MAT 237 BISM2201 EEE8099 Physics 11 ECE2238B Biostat 234 ​ECON30009 INF10025 CHEM252 CCMA4008 CIVE 3007 STAT0031 ELEC ENG 3108 MGMT90140 CHEM 252 STAT3016 MMM095 ​MMGT6016 Legal STAT 311 ELEC9764 COMP 370 TCS 3053 EECS 1021 FIT1051 C/C++ EE3C COMP2003J COM398 COMP51915 Simulator FIN42330 8PRO102 PGD ELEC5160 XJCO1921 COMP5123M INFS 2042 CHE1148H ECA5313 IN3329 Microsoft Modeling B15 2TT COMP3687 COMP2432 DMS2030 KAN4TSF CFKG CSE 5322 CSE 445 STATS 3DA3 CHC5223 COMP1048 EL3105 EECS 3221 CS231 ME 4434 ITP4510 ITP4501 CSCI 5708 Controller EECE 5699 CPEN 231L CPN programs CSC8016 MATU9D2 ENGN4213 2. SVM. (10 points) Consider an SVM classifier using RBF kernel, and finish the following python code to search for the optimum kernel parameter γ. You are required to calculate the RBF function and search yourself, instead of using functions in Scikit-Learn (sklearn). def parameter search(gamma list ,Xtr,ytr,Xts,yts ,...): """ Parameters gamma list: A list of RBF kernel parameter gamma to search for Xtr: Training data, shape (ntr,nrow,ncol) ytr: Training labels, shape (ntr,) Xts: Test data, shape (nts,nrow,ncol) yts: Test labels, shape (nts,) ... Add other parameters as needed Returns: gamma optimum: The gamma with minimum error on Xts, yts """ ... return gamma optimum
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