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ambient conditions and CPAP machine settings. The main factors influencing the condensation may be the inlet temperature and humidity level, ambient air temperature and humidity, tube heating setting and air flow rate. Tube size, shape, surface conditions and tube wall temperature are also factors. The thermal contact resistance between the copper heating wire and the HADT wall is simplified as zero, the thermal capacitance of the copper wire is also neglected. The axial conduction along the HADT wall and the airflow are both neglected. The HADT is a thin and long tube exposed in the ambient and the surface area is large compared with its volume, neglecting the radiation from its outer surface may bring significant error. Thus heat dissipation at its outer surface is considered as both natural convection and radiation. Heat balances are applied to each lump and to the wall as follows. The equation for air is: Q Q Q Q (3.67) Tin Ton Ticn Tastn Also assuming the HADT wall temperature is stable, the equation for HADT lump wall is: Q Q Q Q (3.68) Thn Tocn Torn Ticn QThn , the thermal energy provided by tube heating to each HADT lump, is the total energy from copper wire divided by the number of lumps, n in all these subscriptions represents the lump number. Expressions for these items are to be derived in following sub-sections. 3.5.1 Heat energy brought in and out by inlet and outlet The heat energy brought into the lump by inlet can be expressed as: Q c T A u (3.69) Tin Tan Ta( n1) Tcs Ta T While the heat energy brought away from the lump by outlet can be expressed as: Q c T A u (3.70) Ton Tan Tan Tcs Ta T 62
TTa ( n1) is also considered as inlet temperature of the lump under inspection. T Tan , air temperature in this lump, is also considered as inlet temperature of next lump. However, when reverse flow occurs, air flows from bigger numbered lump toward smaller numbered lump. The last lump receives air from the mask and the air in lump 1 flows back into the chamber. 3.5.2 Convection at HADT lump inner surface The HADT internal convection is considered forced convection only because its small internal dimension does not give much space for natural convection to develop. Nusselt number for internal forced convection can be expressed as [57]: Nu 0.052Re Pr f (3.71) Ti Ti a T f T is the Darcy-Weisbach friction factor explained in chapter 2 which gives 0.5625 fT . Thus Nusselt number above becomes: Re 0.125 Ti Nu 0.02925Re Pr (3.72) 0.875 0.5 Ti Ti a Therefore the convectional resistance on HADT lump inner surface is: R Ticn 3.5.3 Convection at HADT lump outer surface 1 (3.73) 0.875 0.5 kma ATli 0.02925ReTi Pra The HADT may be modelled as a horizontal cylinder and the natural convectional thermal resistance at an HADT lump outer surface may be expressed as [55]: R Toc 63 Ti 1 (3.74) kma AToc 0.148 1.02 RaTo However, the HADT outer surface is corrugated (Figure 3.15). The corrugation increases the surface area as well as the convection. A Toc in Eq. (3.74) is the corrugated To
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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
Page 45 and 46: Chapter 2 Mathematical Modelling of
Page 47 and 48: 2.3 Fluid dynamic analysis This sec
Page 49 and 50: If there are minor pressure drops,
Page 51 and 52: Figure 2.6 Pressure sensor - Honeyw
Page 53 and 54: The pressure readings were taken af
Page 55 and 56: Figure 2.12 Experimental set up for
Page 57 and 58: 2.3.4 Chamber air space mass balanc
Page 59 and 60: From the above analysis, the pressu
Page 61 and 62: Figure 2.18 Full face mask and the
Page 63 and 64: Inserting Eq. (2.26) and Eq. (2.27)
Page 65 and 66: Where n( ) t is the airflow proper
Page 67 and 68: However in reality, mixing turns ou
Page 69 and 70: Chapter 3 Mathematical Modelling of
Page 71 and 72: An Environment Control Chamber (Vö
Page 73 and 74: Figure 3.4 Thermal enthalpy gain of
Page 75 and 76: Figure 3.6 Heating element beneath
Page 77 and 78: Figure 3.8 Chamber water heat balan
Page 79 and 80: Table 3.1 Thermal resistance from h
Page 81 and 82: 3.3.1.2 Heat balance at the outer s
Page 83 and 84: 3.3.2 Heat flow from chamber water
Page 85 and 86: through ADU which is a function of
Page 87 and 88: It is assumed that the direct impac
Page 89 and 90: Sc a a (3.47) Dwa Analogous to th
Page 91 and 92: and keep them in gaseous status. On
Page 93 and 94: through the walls and natural conve
Page 95: Where d Ca is the specific humidity
Page 99 and 100: R Torn 2 2 ATlor ( TTWn T )( TTWn
Page 101 and 102: condensation severity but cannot ca
Page 103 and 104: condensation has occurred at all or
Page 105 and 106: The inlet is the air from HADT duri
Page 107 and 108: 3.9 Average temperature of inhaled
Page 109 and 110: Table 4.1 Inputs to the fluid dynam
Page 111 and 112: Figure 4.2 Simulink TM model for fl
Page 113 and 114: Table 4.4 Outputs from the overall
Page 115 and 116: Gain block after input 1 is to conv
Page 117 and 118: Figure 4.7 Varying Transport Delay
Page 119 and 120: 4.2.5 Mask mixing calculation subsy
Page 121 and 122: 4.3 Computational model of thermal
Page 123 and 124: Figure 4.11 Block diagram of CPAP t
Page 125 and 126: Figure 4.13 Simulink TM model for t
Page 127 and 128: The outputs are listed in Table 4.1
Page 131 and 132: Figure 4.16 Dynamic chamber-air the
Page 133 and 134: Figure 4.17 HADT lump thermal balan
Page 135 and 136: Figure 4.18 Steady state HADT lump
Page 137 and 138: Figure 4.19 HADT lump air dynamic f
Page 141 and 142: Figure 4.21Steady state mask full t
Page 143 and 144: 4 Temperature of airflow from HADT
Page 145 and 146: 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
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Figure VIII. 17 Chamber wall 2 and
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Inputs to this subsystem are listed
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Appendix IX. Details of steady stat
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Figure IX. 3 The HADT lump wall out
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Appendix X. Details of HADT lump ai
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2 Absolute value of airflow velocit
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Figure X. 5 HADT lump inlet absolut
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Figure XI. 2 Steady state mask mixi
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Figure XI. 4 Steady state mask wall
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Input port number Input Unit 1 Aver
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Appendix XII. Details of mask air d
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4 Length of the triangular plate in
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8 Length of the triangular plate in
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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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