Heat exchanger equations pdf files

When designing or choosing a heat exchanger there is no single correct solution. Heat transfer through fins introduction convection heat transfer between a hot solid surface and the surrounding colder fluid is governed by the newtons cooling law which states that the rate of convection heat transfer is directly proportional to the temperature difference between the hot surface. Heat exchangers are devices that regulate efficient heat transfer from one fluid to another. Pdf heat exchangers are devices used to transfer heat between two or more fluid streams at different temperatures. Although they are not diffusive in nature, some quantum mechanics problems are also governed by a mathematical analog of the heat equation. The basic component of a heat exchanger can be viewed as a tube with one fluid running through it and another fluid flowing by on the outside. In the field of gas turbine heat transfer, several experimental studies have been done with mass transfer because of its experimental advantages. Nomenclature a surface area of the heat exchanger, m 2 c. Analyzing mass and heat transfer equipment mhe analyzing mass and heat transfer equipment scaling up to solving problems using process equipment requires both continuum and macroscopic knowledge of transport, and is industrially quite significant. We already saw that the design of a shell and tube heat exchanger is an iterative process.

Optimisation of plateplate fin heat exchanger design kunpeng guo the university of manchester 2015 abstractphd thesis with increasing global energy consumption, stringent environmental protection legislation and safety regulations in industrialised nations, energy saving has been put under high priority. Plate heat exchangers were first produced in the 1920s and have since been widely used in a great number of sectors a plate exchanger consists of a series of parallel plates that are placed one above the other so as to allow the formation of a series of channels for fluids to flow between them. In a parallel flow heat exchanger, the two fluid streams hot and cold flow. Setting upper and lower design limits on tube length. R sekulib university of kentucky introduction a heat exchanger is a device that is used for transfer of thermal energy enthalpy between two or more fluids, between a solid surface and a fluid, or between solid particulates and a. Currently, up to 60% of the heating value of natural gas or any other fuel used in. Ali hasan project management and construction management, keo consulting engineers, doha, qatar. A characteristic of heat exchanger design is the procedure of specifying a design, heat transfer area and pressure drops and checking whether the assumed design satisfies all requirements or not. Calculate the required heat transfer rate, q, in btuhr from specified information about fluid flow rates and temperatures. The heat exchanger design equation can be used to calculate the required heat transfer surface area for a variety of specified fluids, inlet and outlet temperatures and types and configurations of heat exchangers, including counterflow or parallel flow. Pdf a heat exchanger is a heat transfer device that exchanges heat between two or more process fluids. You created this pdf from an application that is not licensed to print to novapdf printer. Compare the calculated overall heat transfer coefficient you obtained from the previous step with that you assumed in step 8. Equation 4 is valid for a 11 exchanger with 1 shell pass and 1 tube pass in parallel or counterflow.

In addition, we will examine various aspects of heat exchanger design and analysis. The great variation in thermophysical properties specially in the pseudocritical region cause the heat transfer coefficient and pressure. Heat exchanger the purpose of a heat exchanger is just thatto exchange heat. Make an initial estimate of the overall heat transfer coefficient, u, based on the fluids involved. An and choi et al developed procedure for the detailed phenomena in shell and tube heat exchangers to predict the heat and mass transfer characteristics of shell and. Heat exchanger 2 lmtd method counter flow heat exchanger multipass and cross flow heat exchangers in these heat exchangers, the correction factor is used where the log mean temperature difference is expressed as. Reason for heat exchangers a heat exchanger is a piece of equipment built for efficient heat transfer from one medium to another hot and cold fluid. The first type of a heat exchanger is called the recuperative type, in which heat are exchanged on either side of a dividing wall by fluids. Heat or thermal energy of a body with uniform properties. Large heat exchanger surface required for heat transfer. The heat equation governs heat diffusion, as well as other diffusive processes, such as particle diffusion or the propagation of action potential in nerve cells. Simple or composite wall of some kind divides the two.

Triply periodic minimal surface heat exchanger tpmshx is a new type of heat. T lm, can be used to determine the required heat transfer area, a, for a heat exchanger. The set of lmtd correction curves for a twopass heat exchanger is shown in figure 2. To determine the overall heat transfer coefficient u for a given heat exchanger, we. Most processes require the heating or cooling of streams to produce a desired temperature before the stream can be fed to operations. The heat exchanger must be isolated from system vibrations using flexible piping connections and isolation pads on the mounting feet. Plate heat exchanger working principle, how a plate heat. In this report, a typical heat exchanger problem is presented and shown how it can be solved with a numerical approach. Analyzing mass and heat transfer equipment mhe analyzing. Therefore, it can not be classified as a compact heat exchanger. Often, engineers prefer to use a heat exchanger design software to create a heat exchanger model. Abstract mathematical heat transfer equations for finned double pipe heat exchangers based on experimental work.

A heat exchanger is a device that is used to transfer thermal energy enthalpy between two or more fluids, between a solid surface and a fluid, or between solid particulates and a fluid, at different temperatures and in thermal contact. For example, the heat transfer coefficient in the fluid can be calculated from general correlations. Heat energy cmu, where m is the body mass, u is the temperature, c is the speci. Heat exchanger gg heat exchanger for systems with two gas flows. Tlm,cf is the log mean temperature difference for a counter flow heat exchanger. A heat exchanger is a system used to transfer heat between two or more fluids. The cross flow heat exchanger in our laboratory is of finned type and the cooling media used is air. The author claims no originality but hopes that the format and contents will provide a. The term heat exchanger applies to all equipment used to transfer heat between two streams. However, the term is commonly used to equipment in which two process streams exchange heat with each other. In any heat exchanger there must be a fluid that requires a change in energy heating or cooling and a fluid. Heat exchangers have widespread industrial and domestic applications.

Therein, popular analytical techniques such as log mean temperature difference lmtd and effectivenessnumber of. Fouling factors for heat exchanger design smart process. In this method, a global heat exchanger is divided into several sub heat exchangers in seriesandparallel arrangement 14. All books are in clear copy here, and all files are secure so dont worry about it. Once the exchanger is design in edr, the file is saving with. The simplest heat exchanger is one for which the hot and cold fluids move in the same or opposite directions in a concentric tube or doublepipe construction.

Specification of tube parameters size, layout, pitch and material. Heat exchangers jordan university of science and technology. In the analysis of a heat exchanger, or any heat transfer problem, one must begin with an energy balance. That portion of the leaving supply airflow that originated as entering supply airflow. The temperature is 150 o c on one side of the surface and 80 o c on the other. The rating program is shown schematically in figure 4. Heat exchanger design fundamental equation youtube. Waste heat reduction and recovery for improving furnace efficiency, productivity, and emissions performance hightemperature furnace can attest to the huge amount of thermal energy beamed into the room. Cfd study for cross flow heat exchanger with integral finned tube. In addition, the overall heat transfer equation for the exchanger must be solved. Heat mass transfer analogy laminar boundary layer as noted in the previous chapter, the analogous behaviors of heat and mass transfer have been long recognized.

If the heat exchanger is located at the inlet or discharge of a blower with a pulsating flow, such as a roots type rotary lobe blower, the heat exchanger must be protected from the pulsation by a chambered silencer. The basic heat exchanger design equation can be used for a variety of types of heat exchangers, like double pipe heat exchangers or shell and tube heat exchangers. The area density for doublepipe heat exchanger can not be in the order of 700. Heat transfer through fins introduction convection heat transfer between a hot solid surface and the surrounding colder fluid is governed by the newtons cooling law which states that the rate of convection heat. Anywhere or anytime there is an opening in the furnace enclosure, heat is. You can then use this model to simulate the heat exchanger performance and to verify if it will meet your. This portable document format pdf file contains bookmarks, thumbnail s, and hyperlinks to help you navigate through. Heat exchangers are used in both cooling and heating processes.

This video describes how much steam is required to raise temperature of water to a certain degree in a heat exchanger. Theory and selection heat exchangers are devices that transfer heat between two luids. Plot the ratio of hxlaminar to hxturbulent against rex in the range of rex. For example, the hydraulic diameter for an annulus of a double. Doe fundamentals handbook thermodynamics, heat transfer, and fluid flow volume 2 of 3 u. A heat transfer device used to exchange heat between two liquid streams that are single phase fluids. The heart of the heat exchanger contains a fully welded circular plate pack made by pressing and cutting round plates and welding them together. A device that transfers heat energy between an exhaust airstream and a separated supply airstream.

This site is like a library, you could find million book here by using search box in the header. A device employing tubes charged with a fluid for the purpose of transferring. The study includes geometry creation with dimensions 250. Finitedifference equations and solutions chapter 4 sections 4. Heat exchanger for systems with fluids susceptible to phase change. Different types of heat exchangers in addition, the overall heat transfer equation for the exchanger must be solved simultaneously. A dimensionless coefficient representing the magnitude of thermal performance. Heat transfer, conduction, convection, radiation contents 1. The basic design equation and overall heat transfer coefficient the basic heat exchanger equations applicable to shell and tube exchangers were developed in chapter 1. Equation 1 can be put in terms of a unit thermal resistance, r lk, or an overall heat transfer coefficient, u 1r, to give q at1 t2 r uat1 t2 eq. A heat exchanger is a heat transfer device that exchanges heat between two or more process fluids. These models are great to investigate if you are sufficiently familiar with. Heat exchanger and its types engineering solutions. Heat exchanger design to choose a suitable heat exchanger for a certain application requires a level of knowledge and experience.

Since different equations apply in these different regions, the spreadsheet will select which equations to use, and will then indicate which. Solving a traditional shell and tube heat exchanger. In convection heat transfer, the heat is moved through bulk transfer of a nonuniform temperature fluid. But we still have to pick one exchanger design and one a value for the entire cycle of. Cfd investigations have been carried out in this paper to study the temperature difference for cross flow heat exchanger with smooth tube and low integral finned tube. In another recent study of the optimization of the shell and tube heat exchanger, 2 proposed a method, motivated by constructed theory. Heat exchanger fouling and estimation of remaining useful life. A plane wall is constructed of solid iron with thermal conductivity 70 wm o c. A novel method of waste heat recovery from high temperature furnaces arvind atreya, department of mechanical engineering, university of michigan abstract one of the largest heat losses in high temperature furnaces is the loss of flue gas enthalpy. The equation for determining net total effectiveness is equation c7 in appendix c. Analyze heat transfer equipment distinguish between exchanger types 22.

The governing equation for one dimensional flow with conve ction may be. The fluids may be separated by a solid wall to prevent mixing or they may be in direct contact. Fouling introduces a wrinkle into our simple equation, because now the resistance to heat exchange varies over time. Heat transfer equation sheet heat conduction rate equations fouriers law heat flux. T temperature difference, k c specific heat, jkgk k heat transfer coefficient, wm. To find these files, start the model navigator, click the model library tab and then look under the chapter headings listed earlier. Note that the wetted perimeter can be different for heat transfer and pressure drop calculations. Heat exchanger design handbook by t kuppan free download. The information presented here along with the books referenced here is certainly a good start. Pdf heat exchanger types and classifications researchgate. Upadhyaya2 1 department of industrial and systems engineering, university of tennessee, knoxville, tn 37996, usa.

I know that the lmtd is not applicable for reboilers, why is this the case. Here, we will cite only those that are immediately useful for design in shell and tube heat exchangers. Heat transfer module users guide comes with the software as a loadable comsol multiphysics model mph file with the extension. Heat transfer theory tells us that the log mean temperature difference is the average temperature difference to use in heat exchanger design equation calculations. The condensation or evaporation side of the heat exchanger is. Bowman et al 1940 derived the equations from which these. The second heat transfer process is convection, or heat transfer due to a flowing fluid. I want to know the difference in the design equations for a shellandtube heat exchanger and a kettle reboiler. Exchangers are also referred to as energy recovery components.

Heat exchanger calculations and design with excel spreadsheet. Waste heat reduction and recovery for improving furnace. Lienhardiv department of mechanical engineering university of houston houston tx 772044792 u. Thickness of the wall is 50 mm and surface length and width is 1 m by 1 m. The heat exchanger is selfsupporting with integrated cooling fins on outside surfaces 7. Galitseyskiy department of the aviation space thermotechnics, moscow aviation institute, russia keywords. I believe this package will be a excellent modeling for heat exchanger if the following issues are solved, such as gui cannot be displayed normally and work properly in winxp.

Solving a traditional shell and tube heat exchanger problem. There are three basic flow ranges in which the heat transfer differs substantially the laminar region re 0. Pressure drop for intube supercritical co2 cooling. Pdf heat exchangers are devices used to transfer heat between two. Shell and tube heat exchanger partial differential equations in the analysis of a heat exchanger, or any heat transfer problem, one must begin with an energy balance. The overall heat transfer coefficient u is the sum of several individual. Heat exchanger fouling and estimation of remaining useful life tutpol ardsomang1, j. Selection of heat exchanger tema layout and number of passes. A heat exchanger is a piece of equipment built for efficient heat transfer from one medium to another hot and cold fluid. A novel method of waste heat recovery from high temperature. The heat transfer area can be calculated after values have been determined or estimated for the required heat transfer rate, q.

Tm is the log mean temperature difference given as t t. Pdhonline course m371 2 pdh shell and tube heat exchangers. Heat exchanger gtl heat exchanger for systems with gas and thermal liquid flows. Solving a traditional shell and tube heat exchanger problem a computer project applying the ability to numerically solve systems of partial differential equations. The two most common heat exchanger design problems are those of rating and sizing. In contrast to the parallel flow heat exchanger, the counter flow heat exchanger can have the hottest coldfluid temperature greater than the coldest hotfluid temperatue. Shellandtube heat exchangers are one of the most widely used type of heat exchanger in the processing industries 65% of the market according to ref. Now, the log mean temperature can be substituted into equation 1 and will yield. A third type of heat exchanger is a plate and shell heat exchanger, which combines plate heat exchanger with shell and tube heat exchanger technologies. Optimisation of plateplatefin heat exchanger design.

Counter flow heat exchangers are the most efficient of the three types. Heat exchanger theory and the heat exchanger design equation. The conductive heat transfer through the wall can be calculated. Selection of heat transfer models and fouling coefficients for shell side and tube side. Heat exchanger g heat exchanger for systems with gas and controlled flows. An important performance factor for all heat exchangers is the.

1263 89 1349 78 704 160 698 952 686 383 887 47 665 1102 1295 1198 1619 1330 287 82 346 393 1227 216 1299 1192 1283 302 1392 244 1515 1134 1488 918 903 1311 543 904 721 138 663 805 1476 1391 332 929