TOPIC 3: PUMPS INTRODUCTION • A pump is a device used to moves and/or pressurize fluids such as liquids. • A pump moves fluid from lower pressure to higher pressure and overcomes the difference in pressure by adding energy to the system. SELECTING A PUMP a. Stability of the Head (H) vs Discharge (Q) relationship b. Operational flexibility c. Future population increase d. Deterioration of the delivery pipework with age e. Uncertainty or errors in the original calculations. ROTODYNAMIC PUMPS Based on bladed impellers which rotate within the fluid to impact a tangential acceleration to the fluid and consequent increase in the energy of the fluid. Type of rotodynamic pump a) Centrifugal pump b) Radial, Axial and Mixed Flow Devices 4 CENTRIFUGAL PUMPS Definition: Centrifugal pumps increase momentum and pressure head by means of rotating blades which converts radial velocity into pressure head. Components – Inlet duct – Impeller – Volute – Discharge nozzle Velocity head is imparted to the liquid by the vanes of the impeller and is converted into pressure head Variables that affect pump operation. ▪ Flow rate ▪ Impeller ▪ Size & diameter ▪ Process liquid characteristics ▪ Impeller speed ▪ Impeller vanes Pressure (h) a) Use head instead of pressure b) Pressure will change with varying specific gravities of fluids c) Head is a measure of the kinetic energy transferred to the liquid from the pump-it is unaffected by specific gravity d) Same head curve for all liquids Flow rate (Q) a) Flow rate determines the capacity of the pump. b) Capacity: the flow rate with which liquid is moved or pushed by the pump to the desired point in the process POSITIVE DISPLACEMENT PUMPS Cause a fluid to move by periodically trapping a fixed amount of fluid and then forcing(displacing) that tapped volume into discharge pipe. Type of Positive Displacement Pumps a) Root type pumps b) Reciprocating type pumps POSITIVE DISPLACEMENT PUMPS Typical Characteristics a) Constant Flow at Various Pressures b) Pulse Flow is possible c) Most can pump solids suspended in liquids d) Self-priming TYPES OF POSITIVE DISPLACEMENT PUMPS Rotary Pumps a) Gear – Internal, External b) Lobe c) Vane d) Screw Reciprocating Pumps a) Piston b) Plunger c) Diaphragm PUMPING SYSTEM CHARACTERISTICS destination Head (H) Static head a) Resistance of the system b) Two types: static and friction source Static head (Hs) a) Difference in height between Static head source and destination b) Independent of flow Flow 11 PUMPING SYSTEM CHARACTERISTICS Friction head a) Resistance to flow in pipe and fittings b) Depends on size, pipes, pipe fittings, flow rate, nature of liquid c) Proportional to square of flow rate d) Closed loop system only has friction head (no static head) Friction head Flow 12 In most cases: Total head = Static head (Hs) + friction head (hf) System curve Friction head System head System curve System head Friction head Static head Static head Flow Flow 13 Pumping System Characteristics Pump performance curve • Relationship between head and flow a) Head Flow increase b) System resistance increases c) Head increases d) Flow decreases to zero • Zero flow rate: risk of pump burnout Flow Performance curve for centrifugal pump 14 PUMPING SYSTEM CHARACTERISTICS Pump operating point Duty point : rate of flow at certain head Pump operating point : intersection of pump curve and system curve Pump performance curve Head System curve Pump operating point Design Point Curve Static head Flow 15 PUMPING SYSTEM CHARACTERISTICS Pump suction performance (NPSH) Cavitation or vaporization: bubbles inside pump If vapor bubbles collapse a) Erosion of vane surfaces b) Increased noise and vibration c) Choking of impeller passages Net Positive Suction Head a) NPSH Available: how much pump suction exceeds liquid vapor pressure b) NPSH Required: pump suction needed to avoid cavitation 16 ENERGY CONVERSION Pump and Turbines - Pump turn electrical or mechanical energy into fluid energy - Turbines turn fluid energy into electrical or mechanical energy - Energy per unit weight is head, H H = z + v2 + P 2g ρg - Power = rate of conversion of energy - Power = ρgQH - Efficiency, η = power out x 100% power in PUMP CHARACTERISTIC Pump Performance Characteristics (Curves) • Mathematical equations relating the variables H, Q, N, P and h are long and complicated. It is more convenient to hold the information in the form of graphs, using data obtained from performance tests. • Pumps are usually tested at constant speed N, and the other variables plotted against discharge Q. The tests are repeated for different speeds, producing a family of characteristic curves. CENTRIFUGAL PUMP CURVES COMMON CAUSES OF CAVITATION Situations: a) Pumping liquid close to boiling point b) Pumping liquid stored at a level below the pump EFFECT OF CAVITATION • Pump makes loud chattering noise • Drop in pump efficiency • Future failures due to metal erosion of impeller (Long term) • Future failures of seals on the shaft (Long term) CAVITATION If the pump operates to the right of point A, then the required suction head is greater than the available suction head. a) This means that vapor bubbles will occur in the suction pipe. b) As the vapor bubbles move through the pump, the pressure will increase and the bubble will collapse. c) This process is called Cavitation and can cause severe damage to the pump. d) Operation to the left of point A means that vapor bubbles will not form, and so Cavitation will not be a problem. PUMP • NPSH – The amount by which pressure at the suction point of pump, expressed as the head of the liquid to be pump, must exceed the vapor pressure of the liquid • Cavitation – formation, growth and rapid collapse of vapor bubble in flowing liquids. PUMP PERFORMANCE a) The performance of a pump is show by its characteristic curve, where the flow capacity (Q) is plotted against the delivery pressure or developed head (H). b) Head is measured in meters. FLOW = Q m3 /s ASSIGNMENT 1 1. Describe the basic pump classification 2. Identify types of pump a) Reciprocating pump b) Centrifugal pump 3. Explain the concept of performance and characteristics of centrifugal pump a) Radial flow b) Axial Flow 4. Explain the performance- degrading effect of a centrifugal pump a) Cavitation b) Internal recirculation ASSIGNMENT REPORT • INDIVIDUAL • ARIAL 12 • PDF FORMAT • SOFTCOPY • COVER PAGE • TABLE OF CONTENT • INTRODUCTION • ANSWER Q1 – Q4 • CONCLUSION • REFERENCE STATIC AND DYNAMIC HEAD a) The Static Head (H) is the difference between Suction Head (HS) and Delivered Head (HD). b) As the Suction Head changes the Static Head changes. c) When the pump is operating the liquid will be moving within the pipe wok and so a loss due to friction will occur. d) Dynamic Head H = H D − HS − H F LOSSES DUE TO FRICTION • A centrifugal pump incurs head losses due to friction. • The friction is caused by the fluid changing direction when travelling through the pump and by clearances within the pump .These losses vary with both head and flow. SYSTEM CHARACTERISTICS H system = H static + HL fLQ 2 H system = H static + ( h f = 3D 5 + hm) f = friction factor D = Diameter of pipe Hf = head loss due to friction Hm = minor head loss HL = Hf + Hm PUMPING SYSTEM CHARACTERISTICS Pump operating point Duty point : rate of flow at certain head Pump operating point : intersection of pump curve and system curve Pump performance curve Head System curve Static head Flow Pump operating point Design Point Curve PUMPS IN SERIES • Same discharge : Q • Add the heads : H1 + H2 • Pump in series may be necessary to generate high heads, or provide regular “boosts” along long pipelines without large pressures at any particular points PUMP IN PARALLEL Same head : H (H1 = H2) Add the discharge : Q1 + Q2 Advantages of pumps in parallel are; - High capacity :- permits a large total discharge - Flexibility : pumps can be brought in and out of service if the required discharge varies EXERCISE 1 A centrifugal pump running has following characteristics: Q (l/s) 0 50 100 150 200 250 300 350 H (m) 22.5 22 20.9 19 16.3 12.7 7.7 0 n (%) 25 38 60 75 80 78 65 44 H static – 12 meter Pipe length – 80 m Diameter of pipe 300 mm fLQ 2 hf = 3D 5 Q (l/s) 0 50 100 150 200 250 300 350 H (m) 22.5 22 20.9 19 16.3 12.7 7.7 0 n (%) 25 38 60 75 80 78 65 44 a) Plot the pump characteristic graph b) Determine the value of Q, H and efficiency , n at duty point. c) Determine the value of Q at optimum point. d) Determine the output power at the duty point e) Determine the discharge and head produced by connecting pump i. in series ii. in parallel Determine the power demand at the duty point in the case parallel. Hs = 12 + 109.74 Q2 P = ρgQH fLQ 2 hf = 3D 5 Darcy Weisbach Equation Q (l/s) 0 50 100 150 200 250 300 350 Q (m3/s) 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 H (m) 22.5 22 20.9 19 16.3 12.7 7.7 0 n (%) 25 38 60 75 80 78 65 44 P 0 10.8 20.5 28 32 31.1 22.7 0 Hs 12 12.3 13.1 14.5 16.4 18.9 21.9 25.4 SERIES PUMP 2H vs Q Q (m3/s 0 ) 2H 45 0.1 0.1 0.2 0.2 0.3 0.3 0.4 44 42 38 33 25 15 0 Series – H2 = 2H1 - 2H vs Q PARALLEL H vs 2Q H (m) 23 22 21 19 16 13 7.7 0 2Q 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 Parallel – Q2 = 2Q1 - H vs 2Q Q (l/s) 0 50 100 150 200 250 300 350 Q (m3/s) 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 H (m) 22.5 22 20.9 19 16.3 12.7 7.7 0 n (%) 25 38 60 75 80 78 65 44 P 0 10.8 20.5 28 32 31.1 22.7 0 Hs 12 12.3 13.1 14.5 16.4 18.9 21.9 25.4 2H 45 44 41.8 38 32.6 25.4 15.4 0 2Q 0 0.10 0.20 0.30 0.40 0.50 0.60 0.70 Parallel – Q2 = 2Q1 - H vs 2Q Series – H2 = 2H1 - 2H vs Q CHARACTERISTIC PUMP GRAPH EXERCISE 2 A centrifugal pump produced the following performance data on a test run Flow, Q (liter/sec) 75 150 200 250 300 350 Total Head, H(m) 70 68 64 58 49 40 Input Power (kW) 97 127 147 163 170 175 The pump required to deliver water from a sup to a reservoir whose level is 60 m above that of the sump. Suction and delivery pipes of 300 mm diameter will have a combined length of 120m. Neglecting minor losses and assuming f = 0.006 a) plot graphs of pump head, system head and efficiency versus flow on a same piece of graph paper b) determine the discharge and head for the system at the design point of the pump used in the system. c) determine the discharge, head and efficiency of the pump used at the duty point. d) hence calculate the output power of the pump at the duty point. EXERCISE 3 A rotodynamic pump, having the characteristic tabulated below, delivers water from a river at elevation 102 m to a reservoir with a water level of 135 m, through a 350 mm diameter cast iron pipe. The frictional head loss in the pipeline is given by hf = 550 Q2, where hf is the head loss in m and Q is the discharge in m3/s. Minor head losses from valves and fittings amount to 50Q2 in the same units. Hsys = (135 – 102) + (550 + 50)Q2 = 33 + 600 Q2 Q (m3/s) 0 0.05 0.10 0.15 0.20 H(m) 60 58 52 41 25 (%) 0 44 65 64 48 Hsys = 33 + 600Q2 Q (m3/s) 0 0.05 0.10 0.15 0.20 H(m) 60 58 52 41 25 Η (%) 0 44 65 64 48 a) Calculate the discharge and head in the pipeline (at duty point) [Q = 0.137 m3/s, H = 44 m] b) If the discharge is to be increased by the installation of a second identical pump: i. In parallel [ 0.185 m3/s, 53.5 m] ii. In series [0.192 m3/s, 55.1 m] c) Determine the power demand at the duty point in the case of parallel operation [155 kW] Q (m3/s) 0 0.05 0.10 0.15 0.20 H(m) 60 58 52 41 25 Η (%) 0 44 65 64 48 Q (m3/s) 0 0.05 0.10 0.15 0.20 H(m) 60 58 52 41 25 Η (%) 0 44 65 64 48