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# 1 2 produced vapor pumped liquid d z gen z atm p atm

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1 2 Produced vapor Pumped Liquid d Z gen Z atm P atm P 0 tot m v L m m Separator plate Bubble Pump Riser Bubble Pump Downcomer ris L

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AN APPROACH FOR MODELING THE PERFORMANCE Prof. Dr. Abdulwadood S. OF THERMAL BUBBLE PUMP Dr. Safaa H 62 Fig.3 Flow Chart for the for solution method of the analytical model. Calculate P 2 eq.(4) ρ L v ,h L ,h v (saturation) Estimate L , Calculate j L ,j v , eq(17) No Yes Calculate P 1 -P 2 Verify ( P 1 -P 2 )From, eq(9) Calculate m tot eq(1), h 2 eq(7), x eq(8), v eq(3),ρ h eq. (2), L eq(1) U 2 ,eq.(1), P 1 eq.(5) Assume a value for U 1 Assume a value for T 2 Calculate h 1 1 Input L ris ,D ris ,T 1 ,R subm ,Q gen START Is P 1 -P 2 True? Calculate U TB , eqs.(31,32,33) Input j g ,j L α LS =0.3 and Phases properties Simultanously solve eq.(29)&eq.(34) to find U GLS &U LS Goto 2 No Yes Is P 2 True? Calculate L , No Yes 2 Re-calculate P 2 , eq.(11) Calculate ΔP fri ,eq.(12) via Friedel two phase multiplier eq.(13) Calculate ΔP gra , eq.(15) Calculate α tot by eq.(38) Assume a value for α TB Calculate U film from eq.(30) Calculate δ by eq.(3-35) Calculate Re by eq.(3-37) & f by eq.(10) Verify the values of α TB & U film by eq.(3-36) Is verification True? Calculate β either by eq.(26) or (3-28)
Dr. Abdulwadood S. The Iraqi Journal For Mechanical And Material Engineering, Vol.15, No1, 2015 63 Fig.6 Variation of pumping capacity with generator heat input for D ris =14mm. 0 200 400 600 800 1000 1200 1400 0.04 0.06 0.08 0.1 0.12 0.14 0.16 Generator Heat Input, Q gen [W] L ris =1.5m D ris =14mm Submergence Ratios, R subm 0.5 0.6 0.7 0.8 Maximum Pumping Capacity Saturated Input State Pumping Capacity, m L [kg/s] 0 20 40 60 80 100 120 140 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 0.022 Pumping Capacity, m L [kg/s] L ris =1.5m D ris =6.5mm Submergence Ratios, R subm 0.5 0.6 0.7 0.8 Saturated Input State Maximum Pumping Capacity Generator Heat Input, Q gen [W] Fig.4 Variation of pumping capacity with generator heat input for D ris =6.5mm. 0 100 200 300 400 500 600 700 0 0.2 0.4 0.6 0.8 1 Generator Heat Input, Q gen [W] Pumping Ratio , V L / V v [m 3 L /m 3 v ] Submergence Ratios, R subm 0.6 0.5 Fig.10 Variation of pumping ratio with generator heat input for D ris =10mm. 0 200 400 600 800 1000 1200 1400 0 0.1 0.2 0.3 0.4 0.5 0.6 Generator Heat Input, Q gen ,[W] Vapor Mass Flow Rate , m v ,[g/s] L ris =1.5m Saturated Input State For All Submergence Ratios, R subm Range for D ris =6.5mm Range for D ris =10mm Range for D ris =14mm Fig.8 Variation of vapour flow rate with generator heat input using different riser diameters. 100 300 500 700 900 1100 1300 0 0.2 0.4 0.6 0.8 1 Generator Heat Input, Q gen [W] Pumping Ratio , V L / V v [m 3 L /m 3 v ] Submergence Ratios, R subm 0.6 0.5 Fig.11 Variation of pumping ratio with generator heat input for D ris =14mm. 0 20 40 60 80 100 120 140 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Generator Heat Input, Q gen [W] Pumping Ratio , V L / V v [m 3 L /m 3 v ] D ris =6.5mm Saturated Input State L ris =1.5m Submergence Ratios, R subm 0.8 0.7 0.6 0.5 Fig.9 Variation of pumping ratio with generator heat input for D ris =6.5mm. Fig.5 Variation of pumping capacity with generator heat input for D ris =10mm. 0 200 400 600 800 0.01 0.02 0.03 0.04 0.05 0.06 0.07 L ris =1.5m D ris =10mm Submergence Ratios, R subm ,[-] 0.5 0.6 0.7 0.8 Maximum Pumping Capacity Saturated Input State Generator Heat Input, Q gen [W] Pumping Capacity, m L [kg/s] Fig.7 Comparison of predicted pumping capacity behavior with experimental results 0 200 400 600 800 1000 1200 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 Generator Heat Input, Q gen [W] Liquid Mass Flow Rate, m l [kg/s] D ris =10mm T 1 =102 o C

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• Fall '19
• Fluid Dynamics, Iraqi Journal For Mechanical And Material Engineering

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