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The flow rate under each pressure setting is considered the same as in the tube airflow velocity test. The pressure sensor is located at the end of the HADT right before the elbow. Since the measured pressure here is static pressure, after the stagnant and static pressure gap compensation is added, the discharge coefficient can be calculated by converting Eq. (2.27) into: C d m BV 2 P ( A n ) Ma M BH BH 116 (5.1) Ma is chosen as 1.19 kg/m 3 as the temperature and relative humidity is about 22°C and m Q and BV Q is 50% respectively when the experiment was conducted. BV BV Ma considered as the same as the airflow rate through the HADT. The calculated discharge coefficient based on the experimental results are shown in Figure 5.7 with a line of 0.985 for reference. The average of the discharge coefficient over the pressure setting range is 0.9864 which is very close to the Venturi tube’s discharge coefficient 0.985. Figure 5.7 Bias vent holes discharge coefficient comparison between model output and experimental results The values of the discharge coefficient at low settings are averagely higher than 0.985 is probably because the holes are on the outside curvature of the elbow. Therefore, when
air flowing through the elbow, a centrifugal force is created and increases the pressure at the outside radius of the elbow thus increases the bias flow and makes the discharge coefficient greater [45, 63]. On the other hand, when pressure setting becomes greater, the discharge coefficient decreases to 0.97. This is because when the pressure increases, the flow rate and flow velocity through the holes also increases. When the velocity is low, the Vena Contracta [45] may be close to the narrowest point of the holes near the shrinkage at the edge of the inner surface. However, when velocity increases, the higher velocity may make the Vena Contracta phenomenon gradually more significant (Figure 5.8). Overall the constant discharge coefficient 0.985 matches well with the experimental result over the CPAP working range. Figure 5.8 High velocity vena contracta phenomena at bias vent holes 5.2.2 Fluid dynamic model under breathing added fluctuating flow The fluid dynamic outputs should include pressure fluctuation in the mask and the dynamic fluctuating airflow velocity in HADT. All these outputs should be tested over the CPAP pressure setting range. However, due to instruments availability, the validations have not been fully conducted. The setups for future validation are shown in Appendix XXI. The already conducted experiments are described and compared with the model outputs below. 117
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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
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
Page 147 and 148: HADT and connects those upstream se
Page 149: The experiment was also carried out
Page 153 and 154: expansion from the elbow to the mas
Page 155 and 156: Figure 5.12 Environmental control r
Page 157 and 158: Table 5.1 shows the combinations of
Page 159 and 160: Figure 5.17 Comparison of model out
Page 161 and 162: The comparison of experimental resu
Page 167 and 168: 5.3.1.4 Airflow temperature at the
Page 169 and 170: flow rate had been even further inc
Page 171 and 172: Figure 5.31 Comparison of condensat
Page 173 and 174: 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
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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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