1. Fluid Mechanics and Applications MECN 3110
Inter American University of Puerto Rico
Professor: Dr. Omar E. Meza Castillo

2. Turbomachinery
Selection

3. To select pumps, fittings, fans and turbo-machinery
Course Objective
To select pumps, fittings, fans and turbo-machinery
Thermal Systems Design Universidad del Turabo

4. Introduction
In this lecture we will examine the performance characteristics of turbomachinery. The word turbo implies a spinning action is involved. In turbomachinery, a blade or row of blades rotates and imparts energy to a fluid or extracts energy from a fluid. Work is generated or extracted by means of enthalpy changes in the working fluid.
In general, two kinds of turbomachines are encountered in practice. These are open and closed turbomachines. Open machines such as propellers, windmills, and unshrouded fans act on an infinite extent of fluid, whereas, closed machines operate on a finite quantity of fluid as it passes through a housing, casing, or duct. We will examine only turbomachines of the closed type.

5. Introduction
Turbomachines may be further classified into two additional categories: those that absorb energy to increase the fluid pressure, i.e. pumps, fans, and compressors, and those that produce energy such as turbines by expanding to lower pressures.
Of particular interest are applications which contain pumps, fans, compressors, and turbines. These components are essential in almost all mechanical equipment systems such as power and refrigeration cycles. We will examine each of these components in detail, and address a number of operating issues in systems when more than one component exists.

6. Pumps
We begin by considering pumps and fans first, as their performance and operational characteristics are similar, with the exception that pumps are used with liquids and fans are used for gases usually air.
Pumps are fluid machines which increase the pressure of a liquid, to enable the fluid to be moved from one location to another. Pumps are typically used to overcome losses due to friction in pipes over long distances, losses due to fittings, losses due to components, and elevation differences.
Classification:
There are two basic types of pumps: positive-displacement and dynamic or momentum change pumps. There are several billion of each type in use in the world today

7. Pumps
Positive-displacement pumps (PDPs) force the fluid along by volume changes. A cavity opens, and the fluid is admitted through an inlet. The cavity then closes, and the fluid is squeezed through an outlet. The mammalian heart is a good example. A brief classification of PDP designs is as follows:

8. Pumps
All PDPs deliver a pulsating or periodic flow as the cavity volume opens, traps, and squeezes the fluid. Their great advantage is the delivery of any fluid regardless of its viscosity.

9. Pumps

10. Pumps

11. Pumps
Dynamics pumps simply add momentum to the fluid by means of fast-moving blades or vanes or certain special designs. There is no closed volume: The fluid increases momentum while moving through open passages and then converts its high velocity to a pressure increase by exiting into a diffuser section. Dynamic pumps can be classified as follows:

12. Pumps

13. The Centrifugal Pump

14. The Centrifugal Pump

15. The Centrifugal Pump

16. The Centrifugal Pump
Assuming steady flow, the pump basically increases the Bernoulli head of the flow between point 1, the eye, and point 2, the exit. Neglecting viscous work and heat transfer, this change is denoted by H:
where hs is the pump head supplied and hf the losses. The net head H is a primary output parameter for any turbomachine. Since the equation is for incompressible flow, it must be modified for gas compressors with large density changes.

17. The Centrifugal Pump
Usually V2 and V1 are about the same, z2 - z1 is no more than a meter or so, and the net pump head is essentially equal to the change in pressure head.
The power delivered to the fluid simply equals the specific weight times the discharge times the net head change.
This is traditionally called the water horsepower.

18. The Centrifugal Pump
The power required to drive the pump is the brake horsepower.
Where ω is the shaft angular velocity and T the shaft torque. If there were no losses, Pw and brake horsepower would be equal, but of course Pw is actually less, and the efficiency of the pump is defined as

19. The Centrifugal Pump
The efficiency is basically composed of three parts: volumetric, hydraulic, and mechanical.
The volumetric efficiency is
where QL is the loss of fluid due to leakage in the impeller-casing clearances.
The hydraulic efficiency is

20. The Centrifugal Pump
where hf has three parts: (1) shock loss at the eye due to imperfect match between inlet flow and the blade entrances, (2) friction losses in the blade passages, and (3) circulation loss due to imperfect match at the exit side of the blades.
Finally, the mechanical efficiency is
where Pf is the power loss due to mechanical friction in the bearings, packing glands, and other contact points in the machine.
By definition, the total efficiency is simply the product of its three parts

21. Definition of Important Terms
The key performance parameters of centrifugal pumps are capacity, head, BHP (Brake horse power), BEP (Best efficiency point) and specific speed. The pump curves provide the operating window within which these parameters can be varied for satisfactory pump operation. The following parameters or terms are discussed in detail in this section
Capacity
Capacity means the flow rate with which liquid is moved or pushed by the pump to the desired point in the process. It is commonly measured in either gallons per minute (gpm) or cubic meters per hour (m3/hr).

22. Definition of Important Terms
The capacity usually changes with the changes in operation of the process. For example, a boiler feed pump is an application that needs a constant pressure with varying capacities to meet a changing steam demand.
The capacity depends on a number of factors like:
Process liquid characteristics i.e. density, viscosity
Size of the pump and its inlet and outlet sections
Impeller size
Impeller rotational speed RPM
Size and shape of cavities between the vanes
Pump suction and discharge temperature and pressure conditions

23. Definition of Important Terms
As liquids are essentially incompressible, the capacity is directly related with the velocity of flow in the suction pipe. This relationship is as follows:

24. Definition of Important Terms
Head
Significance of using Head instead of Pressure
The pressure at any point in a liquid can be thought of as being caused by a vertical column of the liquid due to its weight. The height of this column is called the static head and is expressed in terms of feet of liquid.
The same head term is used to measure the kinetic energy created by the pump. In other words, head is a measurement of the height of a liquid column that the pump could create from the kinetic energy imparted to the liquid. Imagine a pipe shooting a jet of water straight up into the air, the height the water goes up would be the head.

25. Definition of Important Terms
The head is not equivalent to pressure. Head is a term that has units of a length or feet and pressure has units of force per unit area or pound per square inch. The main reason for using head instead of pressure to measure a centrifugal pump's energy is that the pressure from a pump will change if the specific gravity (weight) of the liquid changes, but the head will not change. Since any given centrifugal pump can move a lot of different fluids, with different specific gravities, it is simpler to discuss the pump‘s head and forget about the pressure.

26. Definition of Important Terms
Static Suction Head, hs
Head resulting from elevation of the liquid relative to the pump center line. If the liquid level is above pump centerline, hs is positive. If the liquid level is below pump centerline, hs is negative. Negative hs condition is commonly denoted as a “suction lift” condition.
Static Discharge Head, hd
It is the vertical distance in feet between the pump centerline and the point of free discharge or the surface of the liquid in the discharge tank.

27. Definition of Important Terms
Friction Head, hf
The head required to overcome the resistance to flow in the pipe and fittings. It is dependent upon the size, condition and type of pipe, number and
type of pipe fittings, flow rate, and nature of the liquid.
Vapor Pressure Head, hvp
It is the pressure at which a liquid and its vapor co-exist in equilibrium at a given temperature. When the vapor pressure is converted to head, it is referred to as vapor pressure head, hvp. The value of hvp of a liquid increases with the rising temperature and in effect, opposes the pressure on the liquid surface, the positive force that tends to cause liquid flow into the pump suction i.e. it reduces the suction pressure head

28. Definition of Important Terms
Pressure Head, hp
Its must be considered when a pumping system either begins or terminates in a tank which is under some pressure other than atmospheric. The pressure in such a tank must first be converted to feet of liquid. Denoted as hp, pressure head refers to absolute pressure on the surface of the liquid reservoir supplying the pump suction, converted to feet of head. If the system is open, hp equals atmospheric pressure head.
Velocity Head, hv
Refers to the energy of a liquid as a result of its motion at some velocity ‘v’.

29. Definition of Important Terms
It is the equivalent head in feet through which the water would have to fall to acquire the same velocity, or in other words, the head necessary to accelerate the water. The velocity head is usually insignificant and can be ignored in most high head systems. However, it can be a large factor and must be considered in low head systems.
Total Suction Head, Hs
The suction reservoir pressure head (hps) plus the static suction head (hs) plus the velocity head at the pump suction flange (hvs) minus the friction head in the suction line (hfs).

30. Definition of Important Terms
Total Discharge Head, Hd
The discharge reservoir pressure head (hpd) plus static discharge head (hd) plus the velocity head at the pump discharge flange (hvd) plus the total friction head in the discharge line (hfd).
Total Difference Head, HT
It is the total discharge head minus the total suction head

31. Net Positive Suction Head - NPSH
On the suction side of a pump, low pressures are commonly encountered, with the concomitant possibility of cavitation occurring within the pump. Cavitation occurs when the liquid pressure at a given location is reduced to the vapor pressure of the liquid. When this occurs, vapor bubbles form the liquid starts to “boil”; this phenomenon can cause a loss in efficiency as well as structural damage to the pump.
Remember
Pumps can pump only liquids, not vapors
Rise in temperature and fall in pressure induces vaporization
NPSH as a measure to prevent liquid vaporization

32. Net Positive Suction Head - NPSH
Net Positive Suction Head (NPSH) is the total head at the
suction flange of the pump less the vapor pressure converted to fluid column height of the liquid
There are actually two values of NPSH of interest. The first is the required NPSH, denoted NPSHR, that must be maintained, or exceeded, so that cavitation will not occur. Since pressures lower than those in the suction pipe will develop in the impeller eye, it is usually necessary to determine experimentally, for a given pump, the required NPSHR.

33. Net Positive Suction Head - NPSH
The second value for NPSH of concern is the available NPSH, denoted NPSHA which represents the head that actually occurs for the particular flow system. This value can be determined experimentally, or calculated if the system parameters are known. For example, a typical flow system is shown in figure.

34. Net Positive Suction Head - NPSH
The energy equation applied between the free liquid surface, where the pressure is atmospheric, and a point on the suction side of the pump near the impeller inlet yields where ΣhL represents head losses between the free surface and the pump impeller inlet. Thus, the head available at the pump impeller inlet is

35. Net Positive Suction Head - NPSH
So that For proper pump operation it is necessary that

36. Application Problems

37. Problem

38. Problem

39. Avoiding Cavitation in a Pump

40. Avoiding Cavitation in a Pump

41. A Typical Pump Application

42. A Typical Pump Application

43. A Typical Pump Application

44. Matching a Pump to a System

45. Matching a Pump to a System

46. Matching a Pump to a System

47. Selection of a Pump
If the flow is laminar, the frictional losses will be proportional to Q rather than Q2. There is also a unique relationship between the actual pump head gained by the fluid and the flowrate, which is governed by the pump design (as indicated by the pump performance curve). To select a pump for a particular application, it is necessary to utilize both the system curve, as determined by the system equation, and the pump performance curve. If both curves are plotted on the same graph, as illustrated in the following figure, their intersection (point A) represents the operating point for the system. That is, this point gives the head and flowrate that satisfies both the system equation and the pump equation.

48. Selection of a Pump

49. Selection of a Pump
On the same graph the pump efficiency is shown. Ideally, we want the operating point to be near the best efficiency point (BEP) for the pump. For a given pump, it is clear that as the system equation changes, the operating point will shift. For example, if the pipe friction increases due to pipe wall fouling, the system curve changes, resulting in the operating point A shifting to point B in previous figure with a reduction in flowrate and efficiency. The following example shows how the system and pump characteristics can be used to decide if a particular pump is suitable for a given application.

50. Application Problems

51. Problem

52. Problem

53. Problem

54. Problem

55. Power and Efficiency
Brake Horse Power (BHP) The work performed by a pump is a function of the total head and the weight of the liquid pumped in a given time period. Pump input or brake horsepower (BHP) is the actual horsepower delivered to the pump shaft. Pump output or hydraulic or water horsepower (WHP) is the liquid horsepower delivered by the pump. These two terms are defined by the following formulas.

56. Power and Efficiency

57. Best Efficiency Point (BEP)
Best Efficiency Point (BEP) is the capacity at maximum impeller diameter at which the efficiency is
highest. All points to the right or left of BEP have a lower efficiency.
Significance of BEP
BEP as a measure of optimum energy conversion
BEP as a measure of mechanically stable operation

58. Manufacturers’ Pump Characteristics
Typical pump capacity coverage chart

59. Manufacturers’ Pump Characteristics
Typical pump capacity coverage chart is a complex figure and requires some examination.
The composite chart is useful for locating a particular pump is the flow rate-head requirement is known. Generally, the information available from composite chart is not sufficient for pump-selection or system-analysis purposes, and complete performance characteristics are needed for each pump within the family.
The specific pump number 2x3-10 contains three pieces of information: (1) the first number is the volute discharge diameter, 2 in.; (2) the second number is the suction (inlet) diameter, 3 in.; and (3) the last number is the maximum impeller (rotor) diameter, 10 in.

60. Manufacturers’ Pump Characteristics
Typical pump performance curve

61. Manufacturers’ Pump Characteristics
Superposition of system curve and pump performance curve

62. Due, Wednesday, April ??, 2011 Homework5  Webpage
Omar E. Meza Castillo Ph.D.