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Appendix VI. Relationship regressions between relative humidity, specific humidity and absolute humidity This appendix is for explanations of the conversions between relative humidity, specific humidity and absolute humidity. VI.1 Conversion of relative humidity into specific humidity The ratio between partial pressure of any air component to the total pressure is proportional to the component mole fraction [72]. For saturated moist air, its partial pressure of vapour can be expressed as: mv /18.01 P P m /18.01 m / 28.966 Satu Total v d Where v m is mass of vapour in the moist air, md is the mass of dry air in the moist air, PTotal is total pressure, 18.01 and 28.966 are molar weight of water vapour and dry air respectively. The ratio of saturated vapour partial pressure to the total pressure vs. temperature is given below [49]: Temperature ( ) C - 192 - PSatu / PTotal 5 0.008721 10 0.012276 15 0.017051 20 0.02339 25 0.03169 30 0.04246 35 0.05628 40 0.07384 45 0.09593 50 0.1235 55 0.1576 60 0.1994
This ratio can be regressed against temperature as: with P / P 8.6310 T 1.344 10 T 8.784 10 T 4.268 10 Satu Total 2 R 0.9999 . Since specific humidity is defined as: 7 3 5 2 4 3 m 18.01P v Vapor d m m 28.966P 18.01P d v DryAir Vapor Where PVapor PSatu RH , RH is relative humidity in decimal and: P 28.966( P P RH ) DryAir Total Satu Thus specific humidity can be expressed by relative humidity as: d 7 3 5 2 4 3 18.01(8.6310 T 1.344 10 T 8.78410 T 4.26810 ) RH 28.966 7 10.956(8.63 10 3 5 1.344 10 2 4 8.784 10 3 4.268 10 ) T T T RH VI.2 Conversion of specific humidity into relative humidity mv Since: RH ( mv / md ) ( mvs / md ) and mvs / md is the humidity ratio of saturated m vs air and can be acquired from table 1 and regressed as below: m / m 1.00 10 T 3.5510 T 1.03 10 T 5.47 10 vs d On the other hand, Since: Thus 6 3 5 2 3 4 mv mv / ( mv md ) mv / ( mv md ) d m ( mv md ) m d v mv 1 1 d m m m m v d v d d / (1 d) 1.00 10 T 3.5510 T 1.0310 T 5.47 10 RH 6 3 5 2 3 4 - 193 -
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The Effects of CPAP Tube Reverse Fl
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Acknowledgement First of all, I wou
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When deep breathing induced reverse
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2.4.1 Reverse flow calculation ....
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5.3.1 Thermal dynamic model under s
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XI.3 Steady state mask thermal bala
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List of Figures Figure 1.1 Obstruct
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Figure 5.10 Comparison between expe
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Figure 6.13 Fluctuation of airflow
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Table 5.3 Comparison of condensatio
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Nomenclature Symbol Meaning of the
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CMFeO CMFet C O C t Concentration o
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m C 23 m Ca m cv m Cw m store m i m
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Nu Cp Nu dir Nu Ti Nu To Nuwsn Nuws
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QMor QMwst QTastn QTicn QTin Q
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R Mic R Moc R Ticn R Toc R Torn Mas
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V Capacity of the container m 3 V C
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1.1 Background Chapter 1 Introducti
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The MRD is worn in user’s mouth w
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Figure 1.4 CPAP machine Figure 1.5
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1.3 Literature survey A literature
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CPAP fluid dynamic performance with
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Chapter 2 Mathematical Modelling of
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2.3 Fluid dynamic analysis This sec
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If there are minor pressure drops,
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Figure 2.6 Pressure sensor - Honeyw
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The pressure readings were taken af
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Figure 2.12 Experimental set up for
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2.3.4 Chamber air space mass balanc
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From the above analysis, the pressu
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Figure 2.18 Full face mask and the
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Inserting Eq. (2.26) and Eq. (2.27)
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Where n( ) t is the airflow proper
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However in reality, mixing turns ou
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Chapter 3 Mathematical Modelling of
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An Environment Control Chamber (Vö
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Figure 3.4 Thermal enthalpy gain of
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Figure 3.6 Heating element beneath
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Figure 3.8 Chamber water heat balan
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Table 3.1 Thermal resistance from h
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3.3.1.2 Heat balance at the outer s
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3.3.2 Heat flow from chamber water
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through ADU which is a function of
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It is assumed that the direct impac
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Sc a a (3.47) Dwa Analogous to th
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and keep them in gaseous status. On
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through the walls and natural conve
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Where d Ca is the specific humidity
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TTa ( n1) is also considered as inl
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R Torn 2 2 ATlor ( TTWn T )( TTWn
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condensation severity but cannot ca
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condensation has occurred at all or
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The inlet is the air from HADT duri
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3.9 Average temperature of inhaled
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Table 4.1 Inputs to the fluid dynam
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Figure 4.2 Simulink TM model for fl
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Table 4.4 Outputs from the overall
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Gain block after input 1 is to conv
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Figure 4.7 Varying Transport Delay
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4.2.5 Mask mixing calculation subsy
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4.3 Computational model of thermal
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Figure 4.11 Block diagram of CPAP t
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Figure 4.13 Simulink TM model for t
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The outputs are listed in Table 4.1
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Figure 4.16 Dynamic chamber-air the
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Figure 4.17 HADT lump thermal balan
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Figure 4.18 Steady state HADT lump
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Figure 4.19 HADT lump air dynamic f
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Figure 4.21Steady state mask full t
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4 Temperature of airflow from HADT
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Average evaporation rate subsystem
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HADT and connects those upstream se
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The experiment was also carried out
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air flowing through the elbow, a ce
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expansion from the elbow to the mas
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Figure 5.12 Environmental control r
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Table 5.1 shows the combinations of
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Figure 5.17 Comparison of model out
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The comparison of experimental resu
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5.3.1.4 Airflow temperature at the
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flow rate had been even further inc
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Figure 5.31 Comparison of condensat
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Table 5.3 Comparison of condensatio
Page 175 and 176: 3. The corrugated grooves on the HA
Page 177 and 178: 5.3.2.1 Validation of evaporation r
Page 179 and 180: The experiment observation showed t
Page 181 and 182: Figure 6.1 Reverse flow under diffe
Page 183 and 184: It can also be seen in Figure 6.2 t
Page 185 and 186: within the same period. However, wh
Page 187 and 188: Figure 6.6 Comparison of evaporatio
Page 189 and 190: Figure 6.8 Airflow velocity in HADT
Page 191 and 192: Figure 6.11 Airflow velocity in HAD
Page 193 and 194: In Figure 6.14 the blue curve repre
Page 195 and 196: 6.3.3.1.2 Comparison when heating e
Page 197 and 198: This vaporization potentiality (coi
Page 199 and 200: Figure 6.20 In-tube condensation of
Page 201 and 202: When using different sized masks, t
Page 203 and 204: Figure 6.23 Average specific humidi
Page 205 and 206: The average specific humidity in an
Page 207 and 208: Table 6.5 Comparison of average spe
Page 209 and 210: 6. The deep breathing and reverse f
Page 211 and 212: Appendices Appendix I Regression of
Page 213 and 214: Appendix I. Regression of the press
Page 215 and 216: Figure I. 1 Tested results and the
Page 217 and 218: Appendix II. Regression of the pres
Page 219 and 220: Table III. 2 Airflow temperature an
Page 221 and 222: Appendix IV. The corrugated HADT ou
Page 223 and 224: The total area of the complicated c
Page 225: Figure V. 1 Regression of saturated
Page 229 and 230: Appendix VII. Details of the CPAP f
Page 231 and 232: VII.4 The mask pressure subsystem F
Page 233 and 234: Inputs to this water-centred subsys
Page 235 and 236: Input port number Input Unit 1 Heat
Page 237 and 238: input 4 is the portion of impact ar
Page 239 and 240: VIII.2.3 Water surface mass transfe
Page 241 and 242: This subsystem also contains two su
Page 243 and 244: VIII.2.5 Chamber wall 1 heat transf
Page 245 and 246: Figure VIII. 13 Wall 1 outer surfac
Page 247 and 248: Wall 2 and 3 inner surface temperat
Page 249 and 250: Figure VIII. 17 Chamber wall 2 and
Page 251 and 252: Inputs to this subsystem are listed
Page 253 and 254: Appendix IX. Details of steady stat
Page 255 and 256: Figure IX. 3 The HADT lump wall out
Page 257 and 258: Appendix X. Details of HADT lump ai
Page 259 and 260: 2 Absolute value of airflow velocit
Page 261 and 262: Figure X. 5 HADT lump inlet absolut
Page 263 and 264: Figure XI. 2 Steady state mask mixi
Page 265 and 266: Figure XI. 4 Steady state mask wall
Page 267 and 268: Input port number Input Unit 1 Aver
Page 269 and 270: Appendix XII. Details of mask air d
Page 271 and 272: 4 Length of the triangular plate in
Page 273 and 274: 8 Length of the triangular plate in
Page 275 and 276: Appendix XIII. Details of the auxil
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XIII.3 Breath load average subsyste
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Figure XIII. 7 Average evaporation
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XIV.1.2 Under normal ambient temper
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XIV.2.3 Under high ambient temperat
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XIV.4 Airflow temperature at the en
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XIV.5.2 Under normal ambient temper
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XIV.6.3 Under high ambient temperat
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Appendix XVI. Regression of kinetic
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Figure XVII. 2 Condensation/evapora
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Figure XVIII. 2 Condensation/evapor
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at point C. Right after that, here
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Appendix XIX. Coefficient and param
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Average water thermal conductivity
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Appendix XXI. Fluid dynamic and the
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The lung simulator drives the air.
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Appendix XXII. Model user instructi
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The input blocks and their values a
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Dynamically fluctuating air tempera
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References [1] Good sleep advice. W
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[28] Schettino GPP, Chatmongkolchar
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[60] Marek R, Straub J. Analysis of
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