Simulation of IV Bag Decanting

Simulation of IV Bag Decanting Base Design and Equations The setup of the simulation is given below. The point at the top of the fluid in the IV bag is denoted with a subscript 1. The point at the exit of the catheter into the patient’s arm is denoted with a subscript 2. Assuming that the patient does not move his/her arm during the procedure, we can set point 2 as a static, whereas point 1 is moving dynamically as the bag empties. Bernoulli’s Equation in the units of energy is given as: Setting point 2 as the height of ground, excluding the pumping term and combining pressure terms into a pressure difference, but measuring PÂ ­1 and P2 in gauge pressure and assuming P1 to be atmospheric yields the following equation: Where Where For laminar flow (Re And for turbulent (Re > 2100): Mathematical Development Derivation of equations pertaining to the IV bag What is needed first is a way to find the volume of fluid still within the bag when only knowing the height of the fluid in the bag. Taking the central axis of the bag as an independent variable and viewing the radius of the bag at that point as a dependent variable yields the following straight line: Which has the equation: And performing a solid of revolution about the h axis: It is know that and that by mass balance assuming no accumulation in the pipe But: Finally for the frustum IV bag: Friction terms development Comparing the Reynold’s number in the pipe and the catheter: But by mass balance and assuming no accumulation: Which is always less than one. Therefore if flow in the catheter is laminar, then flow in the pipe has to be laminar too. This leaves 3 cases of flow in the system. The first is flow is laminar in the catheter and pipe. The second case is flow is turbulent in the catheter, but laminar in the pipe, or flow is turbulent for the catheter and pipe. For the first case where flow is laminar in both the catheter and the pipe: If the flow is turbulent in the catheter, then the friction term is the sum of the friction from the pipe and the catheter: Simulation Program Development Solving velocity of fluid leaving the catheter for any fluid height h The above Equations 1-9 are easily incorporated into matlab functions (Appendix A: Calculations functions). The first problem that the program must solve is calculating the instantaneous velocity of fluid out of the catheter at any height of fluid in the IV bag. First the flow in the catheter is assumed to be laminar (this is just a starting point for iterations). The correct velocity of the fluid leaving the catheter is the point here Equation 1 is stable. Since the equation contains a square root, for the answer to be reasonable then there has to be a positive root. i.e: Substituting equations 3 and 5 Since is very small, it’s square may be neglected (checked with given simulation values it was on the order of 10-10) The velocity that satisfies the stable solution of Equation 10 must therefore lie between 0 and for laminar flow speeds. This means that Equation 10 may be solved by bisection method, giving the instantaneous velocity out of the catheter for a certain height of fluid in the IV bag. If the maximum and minimum velocities do not generate the proper conditions required for the bisection method (one function value must produce a number greater than zero, and the other must generate a number below zero to imply a root between the two numbers on a continuous function), then the flow velocity must be such that the flow is turbulent in the catheter. If it is the case that flow must be turbulent in the catheter, then we can set an initial guess of v2 at the minimum velocity required to have turbulent flow in the catheter. Using this as an initial velocity, it can be iterated until a stable solution is found. See Appendix B for this programming logic. Comments have been added to aid understanding. Fluid flow out of the IV bag In order to calculate how fluid flows out of the IV bag, we set the program to take small time elements and determine the velocity of the fluid flowing out of the catheter for a set fluid height. Since that time element is small, we assumed that the velocity did not change appreciably in that small element. Volumetric flow is the product of linear velocity of flow and cross-sectional surface area, and assuming no accumulation in the pipe for mass balance: Now we need to know what the height is of the bag for that volume, which is simply the real root that solves Equation 2. This entire process is iterated for each time element until the bag empties or the fluid velocity leaving the catheter is zero. This logic may be found in Appendix C. Concatenating Results Finally a matrix is constructed that holds all data of the catheter fluid velocity, bag volume, fluid flow rate and height of fluid in the bag and is concatenated with a time vector. This resultant matrix now holds all of the data of the simulation, which is parsed to the primary class that is running the simulation to produce the graphs, and find numerical values for points on the graphs. Results of Simulation The following data was fed into matlab: P2 = 90.228/760*101325; Lcat = 43.703/1000; Dcat = 0.711/1000; Lpipe = 1.383; H = 22.8/100; R = 0.3829*H; hd = 1.377; Dpipe = 3/1000; rpipe = 0.5*Dpipe; mu = 1.142/1000; rho = 1017; X = calcX(R,H,rpipe); h0 = 0.8*X; beta = (R-rpipe)/X; The simulation was run using the following command to retrieve the results matrix: VhvQt = generateVhvtQMatrix(rho,Dcat,mu,Lpipe,Lcat,Dpipe,beta,h0,rpipe,9.81,hd,P2); Solution graphs were plotted as follows: plot(VhvQt(5,:),VhvQt(2,:)); xlabel(Time in seconds); ylabel(Height of fluid in bag in meters); Bag volume is row 1, height of bag is row 2, velocity of fluid in the catheter is row 3, flowrate is row 4 and row 5 is the time vector. To find the total time taken for the bag to empty, the command was used: VhvQt(5,end) = 3122 Similar commands were used to find exact datapoints at any period in time. Discussion of Simulation Results The values of the viscosity and density of the 5% w/v glucose solution – more commonly known as D5W, Dextrose 5 Water or Intravenous Sugar Solution, were looked up from Wolfram Alpha’s material database, and had the values of and . (Wolfram Alpha) The purpose of the simulation was to calculate and plot the graphs as well as answer how long it takes for the bag to drain. It took 3122 seconds for the bag to drain, or just over 52 minutes. At the last second of the simulation, the height of fluid in the bag was less than 4 millimetres, which corresponds to a volume of 0.045 mL. Figures 3-5 all show a negative exponential function, which is to be expected since the flow rate is a function of the head pressure, which is a function of the conical shape of the bag. Initially, the high flow rate that corresponds with the higher head of fluid does not change very much, as the level of fluid in the cone does not drop significantly quickly. However, after about 2500 seconds (80% through the time of the simulation), the velocity of fluid leaving the catheter begins to change. While this change is clearly not linear, it is not really significant when compared to the absolute changes in values. From the start of the simulation until 80% through the simulation (2500 seconds), the velocity of fluid in the catheter only changes from 0.8655 to 0.6922 m/s, or 20.02%. It is only in the last period of time just before the bag empties is there a significant change in the velocity of fluid entering the patient, with the final velocity being 0.4707 m/s just as the bag empties, which is itself only a change of 45.62%. This phenomenon is most apparent in Figure 6, where it can be seen that the volume of fluid left in the bag appears to decant at an almost linear rate (differential of volume/time is flow rate). Only just after 2500 seconds does the steepness of the graph very slightly begin to change upward indicated a slow in the flow rate of fluid leaving the bag. This phenomenon does, however, make sense. The height that the bag is lifted above the catheter is hd = 1.377 meters. The height of fluid in the bag at the start of the procedure is h0 = 0.1793m, or only 13.20% of hd. The means that the driving force behind the IV procedure (which is the height above the IV bag is placed above the catheter in the patient’s arm) that creates the pressure difference to overcome the venous pressure of blood in the patient’s veins only changes by 13.2%, and remains changed by only 20.02 % during the initial 80% of the procedure – in other words, it doesn’t change by much, and therefore we expect that the flow rate won’t change very much until very close to the end of the procedure, which is what we see in Figure 3. In real world application, this means that in general the flow rate of IV solution to the patient is mostly a function of how high above the patient the IV bag is placed, and not necessarily how empty or full the bag its self is. In fact, general practise used by doctors is simply to place the IV bag above the heart level of the patient (Dr. Chen-Maynard, 1999). In application, a desired flow rate of IV fluid into the patient may controlled by lowering or lifting the IV bag a certain height above the patient. Nomenclature References Dr. Chen-Maynard, P. R. (1999). Calculating Parenteral Feedings. California: California Department of Health Science and Human Ecology. Wolfram Alpha. (n.d.). Comprehensive Material Data Sheet for D5W. Retrieved April 28, 2014, from http://www.wolframalpha.com/input/?i=5%+(w/v)+glucose

Key Components in the Leisure and Recreation Industry Essay

Recreational activities fall into six key components, which in turn are divided into sectors. Some activities will fit into more than one category, and other activities are hard to put into any category, such as bridge clubs- are they a sport or a home based leisure activity ? The main components are: * Arts and Entertainment * Home-based Leisure * Countryside recreation * Catering * Heritage and visitor attractions * Sports and physical recreation Arts and Entertainment This is a huge industry that includes many sectors, they are: Arts The arts, apart from commercial cinema and theatre is a precarious industry where losses are easily incurred due to high costs and a very fragmented market. Sponsorship and grants play an important part in these. The public sector plays the most crucial part in funding arts. At the top is the Arts Council, which in 1999 gave out à ¯Ã‚ ¿Ã‚ ½188 million in grants. Much of this came from the National Lottery. Some of it was given out to Regional Arts Boards who then fund local projects. Much of the grant aid is given directly to organisations or individuals. The Arts Council is not the only national public sector organisation to be involved in the arts. One important group is The British Film Institute (BFI) which is responsible for supporting film makers, and the promotion of the British film industry. Local authorities play an important role as well. They employ arts development officers who promote the arts locally and will support local artists. Some larger authorities employ established artists in residence, who work in the area promoting their art and creating commissioned pieces. Local Authorities are major providers of galleries and performance space such as town hall stages or community theatres or even parish halls. In some cases, such as the Lyric Theatre at Hammersmith, London is a part owner of a commercial theatre. Voluntary sector groups also contribute to this sector. Many trusts exist to develop minority arts or provide for specialist audiences. For example, Wolf and Water in Devon is a drama trust dedicated to working with people with special needs. Entertainment Classified as entertainment are popular performing arts and spectacles. The voluntary sector is important here as nationwide participation in amateur dramatics and music is a popular pursuit. Public provision is also evident but has changed in recent years. Thirty years ago most town halls and civic entertainments programme of films, theatre and musicals. This has largely disappeared now and has been replaced by events programmes that are organised by various departments. For example, many sports centres will host travelling theatre and ballet companies such as the Royal Exchange Theatre Group, while arts officers will book in tourism exhibitions. In the streets and parks outside, groups are invited to put on events such as the hot-air balloon events in Bristol’s Parks. It is the private sector that monopolises entertainment. There is a flourishing small-business sector that includes pub entertainments and single artists such as party and street entertainers, but the bulk of the market is contained within three areas: 1.cinemas 2. Theatre 3. Stadia/arenas Cinema-was very popular in the first half of the 20th century. Then when colour televisions and video players appeared cinemas started to lose there appeal to the public. Cinema companies were not refurbishing their buildings, most of which were built in the 1930’s, and were finding profit by selling them off as bingo halls. Some survived by aiming at niche markets(e.g. Corner House in Manchester). These ‘art house’ cinemas show foreign films. The main market is for commercial English-language films. In the 1980s there was a major review of how films were presented. This resulted in multiplexes being invented. They are equipped with the following features: * Modern luxurious buildings with high-quality projection and sound * Multi screens to show move films than one * Easy access often at out-of-town centres * Good customer care The closest multiplex cinema around is the Warner Brothers Village in Longwell Green. This complex has all the features shown above Theatre-the London theatres are highly profitable with a city audience and a huge tourist market. Even then, they increasingly stick to a formula of musicals or familiar plays with big name actors. For example Chitty Chitty Bang Bang was shown at London’s Palindrome with Michael Ball starring in it. The package largely consists of touring West End shows, nostalgia and tribute bands, comedians and spectacles like circus and ice shows. The main London Theatre companies are: * Delfont Mackintosh Theatres * Ambassador Theatre Group * Really Useful Theatres * SFX (Apollo) Apollo leisure is the leading national chain Arenas and Stadia- these are large multi-purpose buildings for very large audiences. Arenas(indoor) for example are likely to put on conferences and trade exhibitions as well as concerts, while stadia(outdoor) are designed especially for sport. An example of a stadia is Ashton Gate home to Bristol City Football Club. Many arenas are owned by Local Authorities or development corporations. Good examples of this are the various halls and centres in Birmingham ,including the National Arena. Sports and physical recreation These activities can be grouped as follows: * Informal recreation(play, walking, gardening) * Competitive sport (football, tennis, golf) * Outdoor activities (sailing, climbing) * Health and fitness (jogging, yoga) Many activities can often be put into more than one category. For example, swimming in the sea is informal, swimming for a club is competitive, swimming in a conventional pool can be seen as health and fitness. Each component has a different profile in the type of facilities and services it produces. Informal physical recreation or exercise- this is the most popular activity nationally. Nobody knows the hours children spend playing or adults spend gardening. We pursue these activities because they are cheap, available and don’t require a lot of skill. The enjoyment we get from them often depends on the environment we do them in. Competitive Sport-most people associate sport with the professional game. This means they are spectators, and it is the spectators money that underpins professional sport. Facilities were often run down to the extent that some were dangerous for crowds, e.g. Hillsborough 1989. Providers have found that profits increase when standards of customer care and corporate hospitality are improved. This has led to the building of a new generation of high-class stadia and race tracks and other facilities where the key services are: * Presentation of the core event * Merchandising * Catering * Safety and security Amateur sport is geared around participation and voluntary clubs. As land and buildings are expensive, many clubs use facilities provided by Local Authorities. Many outdoor sports clubs have their own facilities although there is an even greater number of players who use recreation grounds. There are about 78,000 pitches in the country. Thirty years ago amateur sport was largely centred on outdoor team games. Competitive sport means participation and developing skills and there is a sizeable industry for coaches and instructors. Despite its profile, competitive sport is on the decline and organisations like Sport England are concerned that as a nation we are losing our sporting skills and becoming less fit and healthy. For example, many governing bodies have big school-based programmes, and Local Authorities will run schemes in deprived areas where people cannot afford to play sport or go to health suites. Outdoor Activities-there are over a thousand centres in the UK which specialise in providing outdoor adventure holidays. Facility provision is also essential for outdoor sports, meaning the upkeep of the environment, and this is regulated by the organisations under the Countryside Agency umbrella, such as the Forestry Commission, Local Authorities or National Trust. For most participants activity in the natural world is occasional, and more time will be spent in training in built facilities such as pools or climbing walls. Profitable areas such as skiing, sailing, private sector companies are the main providers. Health and Fitness- there are now at least 2,500 private health and fitness clubs in the UK- it is a boom industry that many young people see as the exciting place to work in leisure. Private sector will increasingly dominate the market and eventually also manage and invest in public sector facilities on behalf of Local Authorities. The central product of these clubs is the fitness room consisting of cardiovascular equipment and perhaps free weights, and frequently areas with small pools, jacuzzis and saunas.. Heritage and visitor attractions The heritage industry concerns buildings and materials that have historical value. Thirty years ago these were largely stately homes, castles, ruins such as Stonehenge and battlefields. Heritage was often about how the rich and famous had lived or what they had collected, or about culture(e.g. Shakespeare). Now it has expanded to include a much wider interpretation of historical value. Whether the attraction is a theme park or museum, the organisers will do their best to employ all the techniques of facility management to look after the customer and make the product interesting. In a theme park the excitement of the rides is a key feature and bringing new and more exciting rides brings in more customers. The difference between a visitor attraction and a heritage site is that the latter involves considerable work behind the scenes which the public never sees. The most popular tourist attractions are: * Museums and galleries- British Museum * Theme parks- Blackpool Pleasure Beach * Historic houses and monuments- Tower of London * Wildlife parks and zoos- London Zoo Many heritage sites are owned by Trusts and limited companies that have been set up to manage individual sites, while many stately homes are owned and run by two big organisations: * English Heritage- is the national body responsible for the management, promotion and conservation of 400 archaeological sites and the historic environment * The National Trust- is a trust set up in 1895 to preserve places of historic interest or natural beauty. Its sites include a range from Paul McCartney’s teenage home to stately homes like Waddesdon Manor Museums-are not usually run by the private sector, largely because of high costs. Many museums started life as private collections which were later donated to the nation or the local community. Libraries-apart from their lending their services which we will look at later, they are largely involved in the heritage sector. They have a back-room role of collecting important documents including maps, and making these available to the public. This is known as the records and archives service. Catering Leisure catering includes pubs and clubs, restaurants, cafes and takeaways. Its firmly placed in the private sector with some exceptions. A catering company provides a service according to the specification of the ‘client’ and often under the client’s name. Many leisure centres and theatres buy in service in this way. The catering sector has various components that make eating out an enjoyable experience: the provision of food and drink; entertainment, such as jazz at Pizza Express, games; and security in the form of door staff. Eating out is an increasingly important and available leisure experience. The fast-food business is booming with a growth rate of 30 per cent. This growth is at the expense of takeaways and cafes, and especially of pubs and clubs. Fast food tends to be run by chains that can make economies of scale by producing the same product in each outlet. Many breweries have followed this trend and operate chains like Harvester restaurants within their pubs. In contrast cafes, restaurants and takeaways tend to be run and owned by family businesses. Countryside recreation The countryside is the natural, national playground and one which is used by walkers, ramblers and those involved in more active outdoor activities. A survey in 1998 by the National Centre for Social Research showed that 1,427 million day visits to the countryside were made and a further 241 million to the coast. Like any leisure facility such usage will have an impact which in turn will lessen, and even threaten, the leisure experience itself. Organisations working in countryside recreation are therefore primarily stewards who maintain, manage and regulate the environment and also produce information and education. An important organisation funded by the Countryside Commission is the National Parks Authority. This is responsible for the regulation and interpretative service inside twelve National Parks, which are designated areas of significant natural beauty and wilderness. The Local Authority has a part to play in managing and regulating country parks. In many cases it also owns the land and will act as landlord to any tenants in the park, such as farmers. Home-based leisure This is cheap, easy and relaxing. The equipment most popularly used are: radios, videos, TV sets, gardening materials and home fitness machines is normally provided by the private sector. The main exceptions are the library lending services in the public sector. Except for broadcasting this component is retail based. As the internet is more widely used, shopping for leisure on the net is likely to increase. Free services like Tesco mean more people are using the net.

Compare and Contrast Customer Needs - 1122 Words

Compare and Contrast Customer Needs, Wants, and Demands. Describe the Need Versus the Want for the Following Products: Red Bull Drink, Nike Trainers, and Apple Ipod When one thinks about all the products there are on a market, he rarely stops to think about all the work each company does to suit the customer’s needs; for every item, there are very specific marketing categories which need to be met. Considering that the market is entirely based on the customer (â€Å"The customer is always right!†) the whole idea of marketing concept revolves around three key elements: customer wants, customer needs and customer demands. Let’s take three examples into consideration: Red Bull drink, Nike Trainers, and Apple iPod. They all come from different†¦show more content†¦The same argument works for Apple’s iPods: they come in such a wide variety of models that the customer only needs to choose the one that works best for him. Not only the company was able to design a device which would fulfill one’s desires – that of a small, portable device which is both stylish and useful- but was also able to make many different versions of it, so that the customer would be able to choose between a wide variety the product which would work best for him. For every need, there is a different type of iPod: if someone’s looking for something small and simple, there’s the iPod shuffle; if wanting something stylish, there’s the iPod nano; if desiring something more classic, there’s the iPod classic; and last but not least, if wanting a somewhat more complicated device which has a wide variety of applications and accessories, other than the classic scope of listening to music, there’s the iPod Touch. What a customer expects, when wanting to buy an MP3 player, is simply to have a device which enables him to listen to music; Apple decided to make listening to music more interesting. 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The Events Of 9 / 11 - 949 Words

The tragic events of 9/11, have drastically added to the myriad of recognized risk types and threats as well as the security recommended and required to counter those threats. The Security Manager must be aware of current threat trends, as well as mitigation strategies for the risks identified by the stakeholders. The mitigation strategies vary depending on the type of asset, location, threats and level of risk. These risks can include the spectrum of natural events and disasters, human-caused events as well as the secondary events spawned by primary events. This paper will examine special event security, its purpose, and when such security is recommended. Any time there is a large gathering of people, the level of risk increases in†¦show more content†¦The number of entry and exit points are important to consider and uniformed security at those points is a good visual sign of security. 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This attack was lead by a former terrorist group named Al Qaeda, or was it. For this research paper, I have decided to go in depth of the event that took place on September 11th. I will be taking the side that states Al Qaeda had nothing to do with the attacks, and that it was in fact an inside job lead by Bush and his administration. I am covering this topic because ever since learning about this event inRead Mo reThe Events Of The 9 / 11 Terrorist Attack On The World Trade Center1170 Words   |  5 Pagesmoment I am happy and content with how the world is. The next thing I know, I am no longer capable of having trust and faith in others. My feelings of trust have changed since the events of the 9/11 terrorist attack on the World Trade Center, the Bernie Madoff’s Ponzi scheme, and the Boston Marathon bombings. The 9/11 terrorist attack on the World Trade Center have had a large impact on my opinion about the amount of trust people deserve. 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This media analysis will define the traumatic aftermath of the event through the psychological problem of â€Å"survivor’s guilt† and PTSD of the attacks of 9/11. Media reports often project the trauma of the attacks of 9/11 through the personal experiences of â€Å"survivor guilt†, which continually effect the victims of the event. The original footage of the attacks of 9/11 shows the gruesome and horrificRead MoreThe Political, Social, and Economic Changes Following 9/11 Essay examples1553 Words   |  7 PagesOn September 11 2001, an attack was made on United States. Four systematic terrorist attacks were pulled off by the group al-Qaeda simultaneously bringing down the World Trade Centre in New York and damaging the Pentagon in Washington D.C. As extensive and in depth as the cause for the attack may have been, September 11 is an event that has undoubtedly left its mark in American history. A turning point, as some would call it, of the political, social, a nd economic systems of the United States. QuicklyRead MoreThe Terror Of Osama Bin Laden1292 Words   |  6 PagesThe terrorists’ attacks on September 11, 2001 centered on New York City was a devastation that affected the United States as Al-Qaeda wanted to instill fear in the mass public, and also send a message simultaneously to their counterparts that they were not to be taken lightly. Since then, it has never been forgotten and was one of the worst tragedies to occur in recent history. In an otherwise positive note, Osama Bin Laden has since been killed and his death has directly caused a morale decrease