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Appendix XX. Modelling parameters and constants Geometric parameters Blower outlet diameter 19.2 mm Connecting duct central line length 200 mm Chamber average inner diameter 100 mm Lower part Chamber average inner diameter 98.5 mm Upper part Chamber wall thickness 1.2 mm Water level 65 mm Fully filled Water volume 600 ml Fully filled Chamber air volume 206 ml Fully filled Water surface diameter 99 mm Fully filled Water-chamber base contact surface diameter 107 mm Chamber top (wall 3) diameter 98 mm Chamber air part wall height 25 mm HADT length 1.725 m (1725 mm) HADT inner diameter 19.2 mm HADT film outside diameter 19.3 mm HADT lump wall mass 6.41 g Nasal mask capacity* 70 ml Nasal mask inner height 3.5 mm Width of nasal mask inner triangular plate 6 mm Mask wall thickness 1.2 mm Total bias vent area 1.5264×10 -5 m 2 (15.264 mm 2 ) Nasal mask capacity 70 ml Full-face mask capacity 236.25 ml Average nose width 38 mm Average nose volume 32 cm 3 266 Also width of rectangular plates Length of inner rectangular side plates
Average water thermal conductivity Fluid properties Specific heat of water 4186 J/kg·K Average molar mass of air in CPAP system 0.644 W/m·K At 50°C 28.61 g/mole Average air thermal conductivity 0.02575 W/m·K At 30°C Average specific heat of dry air 1006 J/kg·K Average specific heat of vapour 1865 J/kg·K Average specific heat of moist air for this thesis Average air density in the connecting duct Average air density in the chamber 1035 J/kg·K 1.176 kg/m 3 1.14 kg/m 3 Average air density in HADT 1.143 kg/m 3 Average air density in the mask 1.14 kg/m 3 Average dynamic viscosity of air 1.87×10 -5 kg/m·s Average mass diffusivity of water molecules in air 2.71×10 -5 m 2 /s Prandtl number of air 0.711 Average β·Pr/ν2 for chamber outer surface Average β·Pr/ν2 for in-chamber air Average β·Pr/ν2 for HADT outer surface Average β·Pr/ν2 for mask outer surface 8.639×10 6 (s 2 /m 4 ·K) 8.251×10 6 (s 2 /m 4 ·K) 9.998×10 6 (s 2 /m 4 ·K) 9.971×10 6 (s 2 /m 4 ·K) Average β·Pr/ν2 for in-mask air 9.045×10 6 (s 2 /m 4 ·K) Average air mass in the chamber 2.348×10 -4 kg Average air mass in one HADT lump 1.902×10 -5 kg 267 Combined coefficient β·Pr/ν2 for Grashof number of air
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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
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3. The corrugated grooves on the HA
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5.3.2.1 Validation of evaporation r
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The experiment observation showed t
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Figure 6.1 Reverse flow under diffe
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It can also be seen in Figure 6.2 t
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within the same period. However, wh
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Figure 6.6 Comparison of evaporatio
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Figure 6.8 Airflow velocity in HADT
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Figure 6.11 Airflow velocity in HAD
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In Figure 6.14 the blue curve repre
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6.3.3.1.2 Comparison when heating e
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This vaporization potentiality (coi
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Figure 6.20 In-tube condensation of
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When using different sized masks, t
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Figure 6.23 Average specific humidi
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The average specific humidity in an
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Table 6.5 Comparison of average spe
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6. The deep breathing and reverse f
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Appendices Appendix I Regression of
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Appendix I. Regression of the press
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Figure I. 1 Tested results and the
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Appendix II. Regression of the pres
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Table III. 2 Airflow temperature an
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Appendix IV. The corrugated HADT ou
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The total area of the complicated c
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Figure V. 1 Regression of saturated
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This ratio can be regressed against
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Appendix VII. Details of the CPAP f
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VII.4 The mask pressure subsystem F
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Inputs to this water-centred subsys
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Input port number Input Unit 1 Heat
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input 4 is the portion of impact ar
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VIII.2.3 Water surface mass transfe
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This subsystem also contains two su
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VIII.2.5 Chamber wall 1 heat transf
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Figure VIII. 13 Wall 1 outer surfac
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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
Page 277 and 278: XIII.3 Breath load average subsyste
Page 279 and 280: Figure XIII. 7 Average evaporation
Page 281 and 282: XIV.1.2 Under normal ambient temper
Page 283 and 284: XIV.2.3 Under high ambient temperat
Page 285 and 286: XIV.4 Airflow temperature at the en
Page 287 and 288: XIV.5.2 Under normal ambient temper
Page 289 and 290: XIV.6.3 Under high ambient temperat
Page 291 and 292: Appendix XVI. Regression of kinetic
Page 293 and 294: Figure XVII. 2 Condensation/evapora
Page 295 and 296: Figure XVIII. 2 Condensation/evapor
Page 297 and 298: at point C. Right after that, here
Page 299: Appendix XIX. Coefficient and param
Page 303 and 304: Appendix XXI. Fluid dynamic and the
Page 305 and 306: The lung simulator drives the air.
Page 307 and 308: Appendix XXII. Model user instructi
Page 309 and 310: The input blocks and their values a
Page 311 and 312: Dynamically fluctuating air tempera
Page 313 and 314: References [1] Good sleep advice. W
Page 315 and 316: [28] Schettino GPP, Chatmongkolchar
Page 317: [60] Marek R, Straub J. Analysis of
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