What is the Purpose of Minimum Flow?

Over the years use of the term “minimum flow” has evolved.   Decades ago industrial centrifugal pump manufacturers quoted a single, relatively low value for minimum flow intended to prevent users from running their pumps to destruction.  The term “minimum flow” generally meant the lowest continuous flow the pump was permitted to operate, without reference to duration, vibration level or other criteria.  Today we have minimum flow values for continuous operation, for intermittent operation and for permissible temperature rise.

pump phenomena and minimum flows

Pump phenomena and minimum flows

The accompanying chart Pump phenomena and minimum flows shows the relationships among the various off-design pump phenomena and minimum flow conditions.  The head versus rate of flow curve with indicated phenomena is a variation of S. Gopalakrishnan’s from his well-cited paper titled, “A New Method for Computing Minimum Flow,” Proceedings of the Fifth International Pump Users Symposium; Texas A&M University, May 1988, pp. 41-47.  As an aside, I recall Gopal (everyone knew him by that name) had made a local technical presentation using the now well-known chart, before it was published.  Evidently the chart was copied from a handout of the overhead slides and was quickly pirated by another, and then others.  Copies or variants of this chart are now found widely in papers and presentations on pumps.

The quoted minimum flow for continuous operation is usually called “Minimum Continuous Stable Flow” or its more common abbreviation “MCSF.”  It is the flow below which the pump should not be operated continuously.  The usual purpose of MCSF is to achieve satisfactory bearing and seal life; however MCSF may be based on other considerations.  Any of the following factors may be considered in establishing the MCSF:

  • manufacturer’s experience
  • rule of thumb
  • calculated onset of suction recirculation or discharge recirculation
  • radial thrust
  • temperature rise
  • cavitation erosion intensity
  • maximum permissible pressure rise (for system purposes)
  • maximum permissible power rise (high specific speed and axial flow pumps)
  • a combination of the above factors or others not listed

For hydrocarbon process industry API 610 specification pumps, the value of MCSF is normally coincident with the lower flow limit of the “Acceptable Operating Range” (refer to chart titled “Vibration limits for Allowable Operating Range and Preferred Operating Range”) where a specified vibration limit is not to be exceeded.

Vibration limits for Allowable Operating Range and Preferred Operating Range

Vibration limits for Allowable Operating Range and Preferred Operating Range

MCSF is a value that can range from roughly 10% to 80% of Best Efficiency Point flow depending on pump size and type, operating speed, impeller suction geometry, liquid density, and other factors.  A size 2” (50mm) discharge single-stage process pump may have an MCSF as low as 10% of BEP flow.  MCSF is often in the range of 30% to 60% of BEP flow for process pumps with discharge sizes 3” (75 mm) and larger.  Large mixed flow vertical pumps and very high head-per-stage centrifugal pumps may have an MCSF greater than 60% of BEP flow.  Axial flow pumps have a power curve that rises toward shutoff and minimum flow may be limited by the power rating of its driver.

On certain high energy pumps the minimum flow is governed by cavitation erosion damage.  Minimum continuous flow for 40,000-hour impeller erosion life is where the system NPSH Available curve intersects the pump’s NPSH Required curve, at lower-than-BEP flow.

Intermittent minimum flow, when specified, is usually given as a percentage of MCSF.  On some applications the governing value may be based on temperature rise.  On large high energy pumps the value of intermittent minimum flow could be, for example, “70% of MCSF and not to exceed 100 hours per year.”

For some applications a thermal minimum flow or “Minimum Continuous Thermal Flow” is specified based on permissible liquid temperature rise.  MCTF is usually, but not necessarily, lower than MCSF.  While a pump thermal minimum flow is not always specified, the end user can readily calculate its value based on input mechanical power heating up the liquid.  The limiting temperature rise is based on a safe margin to prevent flashing of the pumped liquid to vapor, potentially causing pump seizure.

Thermal minimum flow is not normally a concern at pump start-up as long as the closed discharge valve is set to begin opening right away.  If the margin of system NPSHA above pump NPSHR is minimal, then the temperature rise conditions at pump start-up should be checked carefully.

A few pump applications, such as a vertical turbine jockey pump for maintaining pressure in a large fire sprinkler system, can potentially operate continuously at shutoff while pump suction recirculation mixes with the water in the sump in which it operates.  The sump acts as a heat sink and a minimal water temperature rise is not a problem.  This example is a rare exception to an almost invariable stricture on operating the pump continuously at shutoff.

The purpose of minimum flow is generally to prevent undue wear and tear or damage to the pump.  In the real environment of a process or utility plant, a pump is operated at just about any condition demanded by the situation at hand.  Thus there are different pump minimum flows for different purposes.

For an independent evaluation of a pump minimum flow issue, contact an experienced consulting engineer who can help with your specific application.  Please take a look at our services to see our areas of expertise.

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Hydrodynamics of Pumps (2011 edition) – A Book Review

Hydrodynamics of Pumps by Christopher E. Brennen was first published in 1994.  Aside from my long-time professional acquaintance with the author, what caught my attention in this book are the various technical passages related to rocket propulsion turbomachines, including the Space Shuttle Main Engine.  Over the years I would hear about the technical issues with these engines, sometimes from an engineer with direct exposure to them such as Professor Brennen, and it was always interesting to learn what was happening at the very cutting edge of turbomachinery technology.

Hydrodynamics of Pumps, 2011

Hydrodynamics of Pumps, 2011 edition

Hydrodynamics of Pumps 1994 edition was made available online in 2003, for free, and the author solicited readers’ comments.  The 1994 online edition is still available, and with the photographs in color.  In my opinion the online manuscript strategy is a brilliant one for collecting ideas to improve the next edition.

Hydrodynamics of Pumps 2011 edition

The overall purpose of Hydrodynamics of Pumps is to serve as a reference for pump experts and advanced students of pump turbomachinery.  The book could just as well be titled “Cavitation, Unsteady Flows and Forces,” given that these are its main topics.  The first of these phenomena, cavitation, is associated with vapor bubble formation and collapse, mechanical damage, degradation of performance, vibration and noise, while the issues related to unsteady flows and forces are associated with the relatively high density of liquids and resultant dynamic effects on the machine and system.

Right up front in the book’s foreword a complete five-page nomenclature listing is provided.  The subscript listing uses a sample variable “Q” to show what each subscripted form looks like.
Here is an example: “QT1              Value at the inlet tip”.  In my opinion, this method of showing the entire form is superior to simply listing the subscripts independently.

Chapter 1 Introduction provides the high level overview of the two major subjects of the book, cavitation and unsteady flows.  Dimensional relationships in hydraulic turbomachinery are also explained.

Chapter 2 Basic Principles provides an elegantly clear presentation of pump geometry, velocity vectors, blade notation, energy transfer and pump performance.  In the early years of my career at Byron Jackson Pump circa 1980 I recall helping to prepare the submittal of Impeller X and Volute A drawings for Cal Tech.  Various experimental results using these pump elements are found throughout the book.

Chapter 3 Two-Dimensional Performance Analysis presents both axial and radial cascade analyses, flow deviation angle, vane solidity, slip factors, and viscous effects.

In Chapter 4 Other Flow Features, three-dimensional flow effects, radial equilibrium, prerotation and other secondary flows are presented.  Also included is a section on “discharge flow management” covering volutes, diffusers and collectors.

Chapter 5 Cavitation Parameters and Inception covers the parameters used to describe cavitation, cavitation inception, net positive suction head (NPSH), types of impeller cavitation and cavitation inception experimental results.  Coverage of pump cavitation technology essentials in this chapter is at least as good as I have seen anywhere else.   Moreover, I could stop here and make a case for buying this book just based on the material up through Chapter 5.  But there is more.

In the remaining chapters 6 through 10, cavitation bubble dynamics, cavitation damage, cavitation noise, cavitation and pump performance, inducers, cavitation thermal effects, pump vibration, rotating stall, rotating cavitation, surge, auto-oscillation, acoustic resonances, unsteady flow, time domain methods, frequency domain methods, transfer matrices, radial forces, rotordynamic forces, hydrodynamic bearings and seals, damping, cross-coupling and other advanced topics are covered.

It is a big leap from the basic pump concepts and formulas to cutting edge cavitation technologies, analysis of unsteady flows and rotordynamic analytical theory but Brennen deftly manages this transition.  The author begins each topic with a concise but clear presentation of basic concepts and principles and continues on to cover the subject matter in depth, in a well-organized volume.

I highly recommend this book to the newcomer as well as to the expert who wants to better his understanding of pumps. Hydrodynamics of Pumps is an especially valuable and authoritative reference for engineers involved in pump cavitation issues, unsteady flow-related problems and pump rotordynamics.

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Diffuser versus volute

The stator section of a centrifugal pump, after flow exits the impeller, is usually either a ‘diffuser’ or a ‘volute’. The purpose of each of these two stator types is to efficiently diffuse velocity energy into pressure. Diffusers are characterized by a plurality of radially symmetric diffusing passageways surrounding the impeller. Either a volute-shaped or annular collector is used in tandem with the diffuser. Volutes are most often characterized by one or two scroll-shaped diffusing passageways, depending on the pump configuration. Some multi-port ‘volute’ stators might just as well be called a ‘diffuser’. Occasionally there are overlapping characteristics and designation of stator type is arbitrary.

volute

volute

Most of the time the specifying engineer or end user does not decide on the type of stator to be used. By default it is determined by what the pump manufacturers’ offer. The principal deciding issues are manufacturability and cost, suitability for the application, modularity of design and efficiency.

For high pressure between bearings multi-stage pumps, diffuser designs are more compact compared to volute designs. Compactness generally translates into a smaller pump casing size and lower cost of materials and manufacturing.

Diffusers are normally designed as a one-piece or a two-piece ring assembly secured into the pump casing. Diffusers are modular components. For a given pump casing, variations of the diffuser passages can be designed to cover a range of operating conditions.

Diffuser

Diffuser

For a single stage centrifugal pump, a diffuser type design is usually more costly to produce because the diffuser ring is an extra part plus some incremental added machining for the casing. The casing must still function as a collector to convey the flow from the diffuser to the discharge nozzle. No matter how this is done, the diffuser can offer little comparative advantage in the size of a single-stage pump.

Diffuser designs are often more efficient at the best efficiency rate of flow, compared to that of a volute. Also, a custom diffuser can be made for each application in order to maximize the efficiency for a specific duty point.

A volute proponent might argue that the diffuser is less efficient at off-peak flow rates where the pump will operate a good portion of the time. The efficiency differences may not be significant and unless large amounts of power are involved, these debates seldom carry much weight in relation to the competing prices of the pumps offered, or user preference for either volute or diffuser.

Radial thrust acting on the impeller develops from a non-uniform circumferential pressure distribution. The stator design plays an important role in this. For some applications, especially with a single-stage overhung impeller type pump that will operate continuously at flows substantially away from its Best Efficiency Point flow, a diffuser/collector arrangement can provide a lower magnitude of radial thrust.

One of the two basic stator types may be particularly suited for specific applications. For instance, most API users of axial split case type BB3 between bearings pumps prefer opposed impellers in a double volute casing, which offers some assembly and maintainability advantages. Volute type casings are the norm for solids handling pumps that require wide open passageways. A few specialty high pressure single casing pumps utilize the structural support that the vaned diffuser can provide for the collector scroll. Vertical turbine and vertical bowl type casings are mostly of the vaned diffuser type.

Manufacturers have generally rationalized the choice of pump stator based on market needs, application requirements and production costs. Any evaluation regarding the selection of a diffuser or a volute should be considered in the context of specific pump types, specific applications and manufacturers’ product offerings.

For an independent evaluation of function and performance, contact an experienced consulting engineer who can help with your specific applications.  See the complete list of Ekwestrel’s engineering services.

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Pump Handbook Fourth Edition – A Book Review

Years ago I owned a copy of Pump Handbook 1st Edition, by Karassik, Krutzsch, Fraser, and Messina.  While it was a book to have on the shelf, it was not my primary source of pump engineering reference material.  I obtained most of my pump technical information from other books and publications.  Eventually someone “borrowed” my copy indefinitely and I never felt compelled to replace it, even when a 2nd Edition of the handbook was published in 1986.

Turbine-Driven Mainline Pump: by Randal Ferman, Ekwestrel Corp

Image used on cover of book: Turbine-Driven Mainline Pump at Trans-Alaska Pipeline Station 8. Photo by Randal Ferman, Ekwestrel Corp

A Pump Handbook Third Edition was published in year 2000 and I was interested in getting a copy of that one.  However a colleague, Adel, in the office next door had one which I used so I never bought my own copy.  In that edition, main editors Krutsch and Fraser were replaced by Cooper and Heald.   I have known Dr. Paul Cooper many years and he is one of the preeminent pump engineers in the world, with many technical publications to his name.  And Charles Heald is certainly a known figure in the world of pumps.

When the Pump Handbook 4th Edition (PHB-4E ) came out, Adel received a complimentary copy and I looked it over.  I noted there were extensive editorial improvements – eventually I purchased my own copy.
Pump Handbook 4th Edition
It is true with just about any pump technical publication: one has to familiarize himself with the symbols and nomenclature.  PHB-4E has an extensive and useful nomenclature list in the first section of Centrifugal Pump Theory.   Throughout the sections on centrifugal pump theory, analysis and performance are thoughtful explanations, useful formulae and charts.  Cooper has included a number of curve fit equations to go with the charts which is a real convenience for doing the calculations and for creating spreadsheets.

The scope of pump technology covered by PHB-4E is impressive.  In its 1632 pages one will find sections on essential pump theory including centrifugal pumps, positive displacement pumps, solids handling pumps, and jet pumps.  There is coverage of all of the major pump components with special chapters devoted to seals, bearings and materials of construction.  Hydraulic performance, testing, pumping systems and system characteristics, abnormal operation and waterhammer are covered.  There are chapters for installation, operation and maintenance; intakes and suction piping; and selecting and purchasing pumps.  Sections on mechanical behavior, vibration, noise and troubleshooting are included.  And there is a very useful chapter covering pump services with sections for the main industry, utility and commercial areas of application such as power plants, water supply, petroleum, and chemicals to name but a few.  There are more than one hundred expert contributors to the book and bibliographic references are extensive.

Is there anything I would like to see in a Fifth Edition?  Yes, here are a few items that come to mind:

  • Include a more thorough treatment on hydraulic design for mixed-flow and axial-flow bowl-type pumps.
  • Include the flow regime and conical diffuser design charts of Sovran and Klomp      (1967) and how these may be used for design of the diffusing sections of volutes and diffusers.  Also include a chart for the volute and diffuser throat velocity coefficients versus specific speed.
  • Update the sections on viscosity correction, testing, intakes, suction piping and other subject areas based on new or updated standards already available or soon-to-be-released from the Hydraulic Institute, API and other standards-writing organizations.
  • Upgrade the indexing so that incidental uses of technical words and phrases are not lumped together with the principal coverage of information on the subject.  Also, check for instances where common alternative terms or phrases might be missing.  For example, “abnormal operation,” “complete characteristics” and “four-quadrant curves” are also known as “quadrant curves” which is a common term not found in the index.

In spite of this wish list – and, no doubt, other pump engineers would add to this endlessly –  Pump Handbook 4th Edition contains a wealth of valuable information, is very reasonably priced and it is the first reference I would recommend to anyone looking to buy a book on pumps.

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Korea – A Year In Review

This year I’ve visited South Korea (Korea) five times.  The destination has always been Changwon City so most of my experience and observations of Korea relate to that locale.

view of Changwon City from the hotel

view of Changwon City from the hotel

Any Westerner’s experience with Korea inevitably starts with the food.  Yes, most have heard of kimchee and Korean BBQ.  But until you’ve had a traditional Korean-style meal, you just have no idea.  Some years back, here is LA I tried beef bone soup and kimchee. I have to admit I was willing for that to be my last time.

Korean menu display

menu display

For most people new to Korean cuisine, there’s probably a period of adjustment to the spicy, pickled vegetables and hot sauces.  That period, for me, really wasn’t more than a couple of days, and only for a portion of the dishes served.   A few of the crunchy food textures were also new, but I had little trouble adjusting to those.  Today, I love Korean food because of the variety of tasty dishes and its healthy nutritional qualities.

Korean meal with side dishes

Korean meal with side dishes

The other adjustment is chopsticks.  While I’ve used chopsticks before in Chinese and Japanese restaurants, they were all of the wooden or plastic variety.  Korean chopsticks are thin stainless steel, requiring a higher level of skill to hold and manipulate.  The first time I tried using them one of the cafeteria servers noticed I was fumbling and handed me a fork – a highly visible gesture when no one else in the place was using one.

Korean exercise park

public exercise park

Exercise is a visible part of Korean life.  I cannot say this means more Koreans exercise in comparison with Americans.  Perhaps it is simply the presence of public exercise equipment and golf driving ranges seemly everywhere.  Korean society does not seem to be plagued by lawsuits and the attitude that “someone else is responsible for my condition”.   So Koreans, to their credit, view a public exercise machine not as a tort liability, but as a means of staying fit.

 

floral statue in Korea

floral statue

Sculptures, statues, and various icons of religion are fairly prevalent.  Koreans generally seem to value objects and designs having cultural significance and aesthetic appeal.

Haeundae Beach

Haeundae Beach

The new, stylish apartment buildings contrast with the older, plain rectangular designs.  The modern architecture of the new Haeundae Beach towers rivals that of any location I’ve seen.  I surmise that Korea’s growing economy brings with it greater resources to invest in visual appeal.

new construction in Korea

new construction

 

Changwon nightlife in Korea

Changwon's busy nightlife

Nightlife in Changwon bespeaks of a vibrant local economy.  The popular restaurants do a brisk business.  After completely filling up on all of the numerous tasty “banchan” or “Korean side-dishes,” next stop is a “norebang” aka “Korean singing room”.  By then it’s past my bedtime so my hosts hail a taxi and send me on back to the hotel.  No telling for certain when the night ends in Changwon.

 

Korean translation difficulty

vegetable salted not long before eating

There are a number of difficulties that can be encountered when translating from one language to another.  An example is the food item “vegetable salted not long before eating”.  The literal meaning would leave most native English-speaking people a little confused or amused.  The problem may be the translator does not know English idioms, vocabulary, expressions, or possibly even grammar well enough to convey the intended meaning.  Either that or the food name conveys a concept that to most Westerners is simply not of significance to them.

Korean bicycle rental stands

bicycles for rent

You are more apt to find Koreans riding a bicycle to school or work than you would in a typical US city.  But that might be saying that instead of one in a hundred people riding a bike in the US, you would find one in twenty-five riding a bike in Korea.  I don’t know the actual statistics.  There are many people riding bikes or driving scooters but the vast majority drive a car.  A super-abundance of cars and rush hour traffic are realities that Americans share with Koreans.

McDonalds delivery scooters

McDonalds delivery scooters

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Beyond expectation

Wednesday, the day before Thanksgiving, I was out shopping and stopped in at REI, an outdoor gear and clothing store.  I stepped over to the watch display case thinking I might buy a replacement for my 2-1/2 year old Freestyle sports watch.  Its wrist band was coming apart and due to the precision molded rubber fit-up between the case and the lugs, I didn’t even consider trying to get it repaired.  That and the fact that I thought the problem was caused by a watch shop that replaced the battery – not a defect in the product.

As I was looking over the watches, John, a sales associate, came over and asked me if I’d like to try on anything.  I was describing what I liked about the Freestyle, why I wanted to replace it and he asked me if I’d bought the watch at REI.  I said I thought so, but I wasn’t sure.  Shortly, he was entering my membership number into their database system and looking up the watch purchase record – it was found and the nuisance of finding a receipt evaporated.  Next he called Freestyle customer service.  No answer – it was after 1:00 PM here in LA and Freestyle is located in the Eastern Time zone, three hours ahead.  Being the afternoon before Thanksgiving we agreed they’d all left for the four-day weekend.  No problem.  John handed me a business card and we made arrangements for repair or replacement after I returned from business travel.

I was all ready to buy a new watch and John easily could have sold me one.  But John’s interest was in making me completely satisfied with a product I bought from REI a couple years ago.  This is one of the reasons I’ve been a steady REI customer for nearly four decades, and probably an important reason the business of REI has grown throughout the years.

A successful business does more than provide a fair exchange with its customer – that’s an expectation that must be fulfilled just to stay in business.  A successful business finds ways of adding value for its customers, beyond expectation.

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