HYDRODYNAMIC MACHINES III Fluid Mechanics: Fundamentals and Applications by Yunus A. Çengel and John M. Cimbala, 4th Edition, 2018. Mr. L MASHEANE OFFICE: BHP 152 EMAIL: lmasheane@cut.ac.za TELEPHONE NUMBER: 051 507 3683 DYNAMIC PUMPS There are three main types of dynamic pumps that involve rotating blades called impeller blades or rotor blades, which impart momentum to the fluid. They are sometimes called rotodynamic pumps or simply rotary pumps. Rotary pumps are classified by the way flow exits the pump: centrifugal flow, axial flow, and mixed flow The impeller (rotating portion) of the three main categories of dynamic pumps: (a) centrifugal flow, (b) mixed flow, and (c) axial flow. DYNAMIC PUMPS Centrifugal-flow Pump: Fluid enters axially (in the same direction as the axis of the rotating shaft) in the center of the pump, but is discharged radially (or tangentially) along the outer radius of the pump casing. For this reason centrifugal pumps are also called radial-flow pumps. DYNAMIC PUMPS Axial-flow Pump: Fluid enters and leaves axially, typically along the outer portion of the pump because of blockage by the shaft, motor, hub, etc. DYNAMIC PUMPS Mixed-flow Pump: Intermediate between centrifugal and axial, with the flow entering axially, not necessarily in the center, but leaving at some angle between radially and axially. CENTRIFUGAL PUMPS CENTRIFUGAL PUMPS Centrifugal pumps and blowers can be easily identified by their snail-shaped casing, called the scroll. They are found all around your home; in dishwashers, hot tubs, clothes washers and dryers, hairdryers, vacuum cleaners, kitchen exhaust hoods, bathroom exhaust fans, leaf blowers, furnaces, etc. They are used in cars; the water pump in the engine, the air blower in the heater/air conditioner unit, etc. Centrifugal pumps are ubiquitous in industry as well; they are used in building ventilation systems, washing operations, cooling ponds and cooling towers. A typical centrifugal blower with its characteristic snail-shaped scroll. MAIN PART OF CENTRIFUGAL PUMP CENTRIFUGAL PUMP There are three types of centrifugal pump based on impeller blade geometry: (a) Backward-inclined blades, (b) radial blades, and (c) forward-inclined blades. Centrifugal pumps with backward-inclined blades are the most common. These yield the highest efficiency of the three because fluid flows into and out of the blade passages with the least amount of turning. Centrifugal pumps with radial blades (also called straight blades) have the simplest geometry and produce the largest pressure rise of the three. Centrifugal pumps with forward-inclined blades produce a pressure rise that is nearly constant. CENTRIFUGAL PUMP The three main types of centrifugal pumps are those with (a) backward-inclined blades, (b) radial blades, and (c) forwardinclined blades; (d) comparison of net head and brake horsepower performance curves for the three types of centrifugal pumps. VELOCITY TRIANGLE OF THE CENTRIFUGAL PUMP Tangential velocity (U) Absolute velocity (V) Relative velocity (Vrelative) Water enters radially, hence, the angle between tangential velocity, U1, and absolute velocity, V1 is 90 degree. WORK DONE BY THE CENTRIFUGAL PUMP HEADS OF A PUMP 1. Static Head It is the vertical distance between water levels in the sump and the reservoir. Let Hs = Static head on the pump hs = Height of the centre line of pump above the sump level (Suction head) hd = Height of the liquid level in the tank above the centre line of pump (Delivery head) Then Hs = hs + hd HEADS OF A PUMP 2. Total Head It is the total head which has to be developed by a pump to deliver the water form the sump into the tank. Apart from producing the static head, a pump has also to overcome the losses in pipes and fittings and loss due to kinetic energy at the delivery outlet. Let H = Total head hfs = Losses in suction pip hfd = Losses in delivery pipe hf = Total friction loss in pipe = hfs + hfd Vd = Velocity of liquid in delivery pipe. Then H = hs+ hd + hfs + hfd + Vd2/(2g) HEADS OF A PUMP 3. Manometric Head It is usually not possible to measure exactly the losses in the pump casing. So, a term known as manometric head is introduced. It is the rise in pressure energy of the liquid in the impeller of the pump. If two pressure gauges are installed on the suction and the delivery sides as near to the pump as possible, the difference in their reading will give the change in the pressure energy in the pump or the manometric head. Hm = Manometric head of the pump Hms = Reading of the pressure gauge on the suction side Hmd = Reading of the pressure gauge on the delivery side. Then Hm = Hmd - Hms LOSSES AND EFFICIENCIES The following are the important efficiencies of centrifugal pump Manometric efficiency Mechanical efficiency Overall efficiency LOSSES AND EFFICIENCIES LOSSES AND EFFICIENCIES LOSSES AND EFFICIENCIES LEARNING ACTIVITY 1.3.1 A centrifugal pumps delivers 50 liters of water per second to a height of 15 m through a 20 m long pipe. Diameter of the pipe is 14cm. Overall efficiency is 72%, and the coefficient of friction 0.015. Determine the power needed to drive the pump. [13,726kW] LEARNING ACTIVITY 1.3.2 The internal and external diameters of the impeller of a centrifugal pump are 200mm and 400mm, respectively. The pump is running at 1200r.p.m. The vane angles of the impeller at inlet and outlet are 20º and 30º, respectively. The water enters the impeller radially and velocity of flow is constant. Determine the work done by the impeller per unit weight of water per second. [44,1 Nm/N] LEARNING ACTIVITY 1.3.3 A centrifugal pump has an eye diameter of 200mm and outer diameter of 350mm. At the impeller inlet, the width (passage depth) of the impeller is 90mm while at the outlet it is 45mm. If the vane outlet angle is 30º, the discharge is constant at 0,18m3/s and the speed is constant at 1450rev/min. Determine: (a) The angle at inlet for zero whirl and smooth flow on to the blade [11,83º] (b) The theoretical impeller torque [638,5Nm] (c) The head increase across the impeller, and [54,9m] (d) The theoretical power transferred to the fluid [96,94kW] Neglect vane thickness. THANK YOU Contact details L. MASHEANE MECHANICAL ENGINEERING DEPARTMENT Tel.: 051 507 3683 E-mail: lmasheane@cut.ac.za www.cut.ac.za | Bloemfontein (051) 507 3911 | Welkom (057) 910 3500