Posts Tagged ‘pump’

What Belt Width does a Hydroponics Plant Need?

Friday, June 23rd, 2017

    Belts are important.  They make fashion statements, hold things up, keep things together.   Today we’re introducing a scenario in which the Euler-Eytelwein Formula will be used to, among other things, determine the ideal width of a belt to be used in a mechanical power transmission system consisting of two pulleys inside a hydroponics plant.   The ideal width belt would serve to maximize friction between the belt and pulleys, thus controlling slippage and maximizing belt strength to prevent belt breakage.

    An engineer is tasked with designing an irrigation system for a hydroponics plant.   Pulley 1 is connected to the shaft of a water pump, while Pulley 2 is connected to the shaft of a small gasoline engine.

What Belt Width does a Hydroponics Plant Need?

What Belt Width does a Hydroponics Plant Need?

    Mechanical power is transmitted by the belt from the engine to the pump at a constant rate of 4 horsepower.   The belt material is leather, and the two pulleys are made of cast iron.   The coefficient of friction, μ, between these two materials is 0.3, according  to Marks Standard Handbook for Mechanical Engineers.   The belt manufacturer specifies a safe working tension of 300 pounds force per inch width of the belt.   This is the maximum tension the belt can safely withstand before breaking.

    We’ll use this information to solve for the ideal belt width to be used in our hydroponics application.    But first we’re going to have to re-visit the two T’s of the Euler-Eytelwein Formula.   We’ll do that next time.


Copyright 2017 – Philip J. O’Keefe, PE

Engineering Expert Witness Blog



Another Specialized Application of the Euler-Eyelewein Formula

Tuesday, June 13th, 2017

    Last week we saw how friction coefficients as used in the Euler-Eyelewein Formula, can be highly specific to a specialized application, U.S. Navy ship capstans.   In fact, many diverse industries benefit from aspects of the Euler-Eytelwein Formula.   Today we’ll introduce another engineering application of the Formula, exploring its use within the irrigation system of a hydroponics plant.

Another Specialized Application of the Euler-Eyelewein Formula

Another Specialized Application of the Euler-Eyelewein Formula


    Pumps conveying water are an indispensable part of a hydroponics plant.   In the schematic shown here they are portrayed by the symbol ⊗.

    In our simplified scenario to be presented next week, these pumps are powered by a mechanical power transmission system, each consisting of two pulleys and a belt.   One pulley is connected to a water pump, the other pulley to a gasoline engine.   A belts runs between the pulleys to deliver mechanical power from the engine to the pump.

    The width of the belts is a key component in an efficiently running hydroponics plant.   We’ll see how and why that’s so next time.


Copyright 2017 – Philip J. O’Keefe, PE

Engineering Expert Witness Blog



Systems Engineering In Medical Device Design – Preproduction, Part 2

Monday, February 11th, 2013
     Last time we began our discussion on Preproduction, the final aspect of the Development stage of our systems engineering approach to medical device design.  This is the point at which a small amount of devices are put into actual production, then evaluated for full production possibility.  It is also  the final juncture at which problems will be evaluated and corrected before full commercial production can begin.

      Once the medical devices produced during Preproduction are assembled, they’re subjected to rigorous testing in both a laboratory and the field.  This testing is necessary to see if stakeholder requirements are satisfied.  At this stage devices constructed en masse on the factory assembly line are compared to prototypes built by hand by design engineers earlier in the Development stage.

     During Preproduction laboratory test data is gathered and analyzed by engineers to assess how the device will hold up during actual use.  Real-life conditions are simulated in the lab environment to facilitate this process.  For example, lab testing of a Preproduction kidney dialysis machine can determine whether its blood pump flow rate falls within acceptable range during hundreds of hours of operation.  Other factors, such as durability of materials are evaluated during lab testing.  In the case of the dialysis machine, there is a component called a dialyzer that filters toxic waste from blood. Over the duration of the lab test, the material used in the dialyzer filter membranes would be inspected and evaluated for durability.

     Next week we’ll conclude our discussion on Preproduction to see what happens when testing is moved outside the lab environment into the field.


preproduction medical device

Industrial Control Basics – Electric Motor Control

Sunday, February 19th, 2012
     Electric motors are everywhere, from driving the conveyor belts, tools, and machines found in factories, to putting our household appliances in motion.  The first electric motors appeared in the 1820s.  They were little more than lab experiments and curiosities then, as their useful potential had not yet been discovered.  The first commercially successful electric motors didn’t appear until the early 1870s, and they could be found driving industrial devices such as pumps, blowers, and conveyor belts.

      In our last blog we learned how a latched electric relay was unlatched at the push of a button, using red and green light bulbs to illustrate the control circuit.  Now let’s see in Figure 1 how that circuit can be modified to include the control of an electric motor that drives, say, a conveyor belt inside a factory.

Motor Control Relay

Figure 1


    Again, red lines in the diagram indicate parts of the circuit where electrical current is flowing.  The relay is in its normal state, as discussed in a previous article, so the N.O. contacts are open and the N.C. contact is closed.  No electric current can flow through the conveyor motor in this state, so it isn’t operating.  Our green indicator bulb also does not operate because it is part of this circuit.  However current does flow through the red indicator bulb via the closed N.C. contact, causing the red bulb to light. 

     The red and green bulbs are particularly useful as indicators of the action taking place in the electric relay circuit.  They’re located in the conveyor control panel along with Buttons 1 and 2, and together they keep the conveyor belt operator informed as to what’s taking place on the line, such as, is the belt running or stopped?  When the red bulb is lit the operator can tell at a glance that the conveyor is stopped.  When the green bulb is lit the conveyor is running.

     So why not just take a look at the belt itself to see what’s happening?  Sometimes that just isn’t possible.  Control panels are often located in central control rooms within large factories, which makes it more efficient for operators to monitor and control all operating equipment from one place.  When this is the case, the bulbs act as beacons of the activity taking place on the line. Now, let’s go to Figure 2 to see what happens when Button 1 is pushed.

Electric Motor Control

Figure 2


     The relay’s wire coil becomes energized, causing the relay armatures to move.  The N.C. contact opens and the N.O. contacts close, making the red indicator bulb go dark, the green indicator bulb to light, and the conveyor belt motor to start.  With these conditions in place the conveyor belt starts up.

     Now, let’s look at Figure 3 to see what happens when we release Button 1.

Industrial Control of Motors

Figure 3


     With Button 1 released the relay is said to be “latched” because current will continue to flow through the wire coil via one of the closed N.O. contacts.  In this condition the red bulb remains unlit, the green bulb lit, and the conveyor motor continues to run without further human interaction.  Now, let’s go to Figure 4 to see how we can stop the motor.

Motor control relay unlatched.

Figure 4


     When Button 2 is depressed current flow through the relay coil interrupted.  The relay is said to be unlatched and it returns to its normal state where both N.O. contacts are open.  With these conditions in place the conveyor motor stops, and the green indicator bulb goes dark, while the N.C. contact closes and the red indicator bulb lights.  Since the relay is unlatched and current no longer flows through its wire coil, the motor remains stopped even after releasing Button 2.  At this point we have a return to the conditions first presented in Figure 1.  The ladder diagram shown in Figure 5 represents this circuit.

Motor Control Ladder Diagram

Figure 5


     Next time we’ll introduce safety elements to our circuit by introducing emergency buttons and motor overload switches.


A Pump By Any Other Name…

Monday, May 10th, 2010

     Pumps are all around us.  They keep our drinking water flowing, the cooling water circulating in your car’s engine, and even your blood flowing.  They’re essential in many aspects of our lives, but most of us don’t think too much about them.  For our discussion let’s put them into two categories:  positive displacement pumps and centrifugal pumps.  This week, we’ll focus on positive displacement pumps.

     Positive displacement pumps, as their name implies, displace a quantity of liquid with each complete cycle of movement.  This takes place when moving parts of the pump take “bites” out of the liquid at the inlet, then force them to exit through the outlet.  A familiar example of a positive displacement pump is the type of hand operated water pump that’s commonly found in campgrounds.  See Figure 1.


Figure 1 – A Positive Displacement Pump

     This type of pump is known as a reciprocating positive displacement pump.  By reciprocating, I mean that the moving parts travel back and forth in a straight line during its operation.  Let’s see how it works by referring to the cutaway view in Figure 2.  


Figure 2 – Cutaway View of the Pump Shown in Figure 1 

     In the cutaway view, the pump’s piston and internal check valve are shown, and there’s another check valve in the bottom of the pump housing.  When you pull up on the handle, the piston moves down into the water in the pump housing, and the pressure caused by this movement forces the check valve in the bottom to slam closed, while the check valve above is forced open.  This causes water movement to flood through the open check valve and fill up the space above the piston.  When you push down on the handle, the opposite happens.  The piston is made to move upward.  The upward acceleration of the water above the piston causes the check valve on the piston to slam shut, and this traps the water above it.  As the piston moves back up, a suction is created below, which causes the check valve in the bottom of the housing to pop open and more water is drawn up into the space below the piston.  Eventually, when the piston gets high enough, the water trapped on top of it will flow out of the spigot.

    Another type of positive displacement pump is represented by a rotary pump.  These pumps operate in a circular motion to move a volume of liquid with each revolution of the pump shaft.  This is done by trapping liquid between moving parts, such as gears, lobes, vanes, or screws, and the stationary pump housing itself.  

     To show how this works, refer to the gear pump shown in Figure 3.  Its gear teeth mesh together in the middle of the pump, blocking the flow from going straight through and trapping it within the spaces formed by rotating gear teeth and the pump housing.  It’s like the water is being forced through a turnstile.

Figure 3 – A Cutaway View of a Gear Pump

     Next week, we’ll talk about centrifugal pumps and how they move liquids along using centrifugal force.

Thermodynamics In Mechanical Engineering, Part II, Power Cycles

Sunday, December 13th, 2009

     Last time we talked about some general concepts in an area of mechanical engineering known as thermodynamics.  In this week’s article we’ll narrow our focus a bit to look at a part of thermodynamics that deals with power cycles.

     One mammoth example of a power cycle can be found in a coal-fired power plant.  You can’t help but notice these plants with their massive buildings, mountains of coal, and tall smoke stacks.  They’ve been getting a lot of negative press lately and are a central focus of the debate on global warming, but most people have no idea what’s going on inside of them.  Let’s take a peek.


Figure 1 – A Coal-Fired Power Plant

     A power plant has one basic function, to convert the chemical energy in coal into the electrical energy that we use in our modern lives, and it’s a power cycle that is at the heart of this conversion process.  The most basic power cycle in this instance would include a boiler, steam turbine, condenser, and a pump (see Figure 2 below).


Figure 2 – A Basic Power Cycle 

     When the coal is burned in the power plant furnace, its chemical energy is turned into heat energy.  This heat energy and the boiler are enclosed by the furnace so the boiler can more efficiently absorb the heat energy to make steam.  A pipe carries the steam from the boiler to a steam turbine.  Nozzles in the steam turbine convert the heat energy of the steam into kinetic energy, making the steam pick up speed as it leaves the nozzles.  The fast moving steam transfers its kinetic energy to the turbine blades, causing the turbine to spin, much like a windmill (see Figure 3 below).


Figure 3 – The Inner Workings of a Steam Turbine

     The spinning turbine is connected by a shaft to a generator.  The turbine works to spin the generator and thus produces electricity.  After the energy in the steam is used by the turbine, it goes to the condenser, whose job it is to convert the steam back into water.  To accomplish this, the condenser uses cold water, say from a nearby lake or river, to cool the steam down until it converts from a gas back to a liquid, that is, water.  This is why power plants are normally found adjacent to a body of water.  After things are cooled down, the pump gets to work, pushing the condensed water back into the boiler where it is once again turned into steam.  This power cycle keeps repeating itself as long as there is coal being burned in the furnace, the plant equipment is functioning properly, and electrical energy flows out of the power plant.

     Thermodynamics sets up an energy accounting system that enables mechanical engineers to design and analyze power cycles to make sure they are safe, reliable, efficient, and economical.   When all is said and done, a properly designed power cycle transfers as much heat energy as possible from the burning coal on one end of the cycle to meet the requirements for electrical power on the other end of the cycle.  As was mentioned in last week’s blog, nothing is 100% efficient.

     Next time we’ll learn about being cool.  No, I’m not going to talk about the latest cell phone gadget or who’s connected on Facebook.  We’ll be covering refrigeration cycles.