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Ca CaSt Ca Ca (3.56) Q m c 58 dT dt 3.4.6 Heat transfer from chamber air into ambient via wall 2 and 3 The flow pattern through the chamber is very complicated. The situation is simplified by assuming that the air flow in the chamber flows only once over all the chamber inner surfaces [19]. It is further assumed that the flow produces a characteristic velocity over all the surfaces which is defined by Eq. (3.34) as u C q C 0.5A Note that the water surface is dropping while the CPAP is in use due to evaporation. However neglecting this change will not influence the objectives of the project. Also due to flow velocity may range widely from 0 to 100 L/min., both natural and forced convections need to be included. To calculate T C 23i , the temperature at the inner surface of wall 2 and wall 3, energy balance at the inner surface is carried out below. The heat transfer toward the chamber wall 2 and 3 at their inner surfaces is converted to wall heat storage and heat dissipation into ambient: C 23i C 23St C23o Co Q Q Q (3.57) Since the breathing induced airflow fluctuating is very short comparing to the chamber wall temperature change, the wall 2 and wall 3 temperature is simplified as constant therefore QC 23St is neglected. Thus Eq. (3.57) can be changed as: TCa TC 23i TC 23o T (3.58) R R C 23i C23o Same as the analysis of wall 1 thermal balance, inner surface temperature of wall 2 and 3 can be calculated as: T C23i 1 1 T T R R R R R R 1 Ca ( ) ( ) C 23i C 23 C 23o C23i C23 C23o . (3.59) Where RC 23 is the conductive thermal resistance of wall 2 and wall 3 together. Heat transfer through the walls includes mixed convection at inner surface, conduction
through the walls and natural convection at outer surface. These resistances will be analysed below. 3.4.6.1 Mixed convectional thermal resistance R C 23i At the inner surfaces of chamber wall 2 and 3, the flow is considered to be always turbulent. Nusselt number for forced convection at the inner surface of wall 2 and wall 3 can be considered as airflow over these surfaces and be calculated the same as the water surface flow by Eq.(3.36). The Nusselt number for natural convection over the vertical wall 2 can be calculated by using Eq. (3.23). The mixed convection Nusselt number at this surface can be: Nu ( Nu Nu ) (3.60) 3 3 1/3 C 2mi C 2ni C 2 fi The inner surface of wall 3, which is the chamber top, is simplified as a horizontal round plate with cooler surface facing down (see Appendix XIX for Nusselt number coefficient values). Nusselt number for mixed convection on wall 3 inner surface can be calculated same as Eq. (3.60). So the total mixed convectional thermal resistance over the two inner surfaces can be calculated as: R C 23i 1 A k A k Nu Nu C 2i ma C3i ma C 2i C 2mi C 3i C3mi 3.4.6.2 The conductive thermal resistance through the chamber wall 2 and 3 59 (3.61) The conductive resistance of wall 2 can be calculated the same as wall 1. Wall 3 is simplified as a flat round plate. The over all conductive thermal resistance of chamber wall 2 and 3 surrounding the air part of the chamber can be: R C23 R R R R C 2cylinder C3 C2 cylinder C3 (3.62)
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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
Page 41 and 42: 1.3 Literature survey A literature
Page 43 and 44: 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 keep them in gaseous status. On
Page 95 and 96: Where d Ca is the specific humidity
Page 97 and 98: 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
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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
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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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