Back to Basics Heat Exchanger Overview Arnold B. Kleijn HRS Heat Exchangers Understand the basics of heat exchanger operation and design to ensure effective equipment sourcing and efficient operation. H eat exchangers are used to thermally process materials, and can be employed to heat or cool a range of products in applications such as food processing (refrigeration, pasteurization, and sterilization), chemical processing, energy production, and waste treatment. The thermodynamic considerations involved in the design and construction of heat exchangers are complex. Designing a heat exchanger begins with two primary concerns. The first is selecting the right type of heat exchanger: plate, shell-and-tube (Figure 1), scraped-surface, etc. Various factors influence this choice, including the nature of the material(s) to be heated or cooled, the objective of the process (e.g., refrigeration or pasteurization), and any restrictions of the environment where the heat exchanger is to be p Figure 1. Shell-and-tube heat exchangers are common in the chemical process industries (CPI). 34 www.aiche.org/cep February 2020 CEP used. The second consideration is size, which is critical to the effectiveness of the equipment in the application. This article provides an introduction for new engineers, plant managers and operators, or anyone else who needs a refresher on heat exchanger design. As is true with any equipment specification and purchasing, seek the opinion of an expert familiar with your process, but use the information presented here as guidance in this effort. Types of heat exchangers Original equipment manufacturers produce many different models of heat exchangers, but most fall into one of three categories — plate, shell-and-tube, and scraped-surface. Plate heat exchangers. These consist of thin, corrugated plates packed inside a frame, with the process fluid and heat-transfer (or service) fluid (HTF) in alternating channels (Figure 2). They are ideal for applications in which the fluids have relatively low viscosities and contain no particles. They are also effective when the product outlet temperature is close to the temperature of the HTF. However, plate heat exchangers can be prone to blockages and fouling, and in some cases, irregular flows through the exchanger can produce uneven heat distribution or additional fouling. Performance can be improved through clever design, such as using herringbone-patterned heat-transfer plates (Figure 3). These are assembled with two sets of parallel channels for each liquid. The herringbone pattern points in opposite directions, which increases the number of points of support and creates a lattice in each channel. This arrangement produces a high level of turbulence, increasing the heat-transfer rate. Copyright © 2020 American Institute of Chemical Engineers (AIChE). Not for distribution without prior written permission. Shell-and-tube heat exchangers. Shell-and-tube heat exchangers consist of one or more tubes filled with either the process fluid or the HTF and a shell filled with the other fluid (Figure 4). The tubes may be corrugated (Figure 5) to increase both the heat-transfer rate and efficiency, minimize the potential for fouling, and enable more-compact and economical heat exchangers. Shell-and-tube exchangers may be made of stainless steel for use in the food, pharmaceutical, and chemical industries. Scraped-surface heat exchangers. These heat exchangers are used in applications with low heat-transfer rates caused by fouling or viscous fluids. As with shell-and-tube heat exchangers, they are composed of a tube or tubes within a vessel. However, the tubes include a physical method of scraping the inside surface to prevent and remove fouling layers (Figure 6). Fouling occurs when fluids degrade near the tube wall and layers of solids deposit onto the wall, acting as an insulator and preventing effective heat transfer. Another form of fouling is crystallization, whereby cooling or increasing concentration of solids causes components in the fluid to accumulate on the heat exchanger surface. Scraping the heattransfer surface to remove these layers of fouling maintains high heat-transfer rates. Typically, the more viscous a fluid, the lower the heat- transfer rate. Very viscous fluids, such as thick syrups, nut butter, or creams, etc., require very large heat-transfer areas. Scraped-surface heat exchangers mix the fluid vigorously, which increases the volume of fluid contacting the heat exchanger surface. This increases the heat-transfer rate and reduces the necessary surface area. Heat exchange calculations Once the type of exchanger has been chosen, the supplier’s engineering staff ensures that the model chosen is correctly sized for the job. A correctly sized heat exchanger Tube Outlet Shell Inlet Baffles Shell Outlet Tube Inlet p Figure 4. Shell-and-tube heat exchangers contain a hot or cold fluid in parallel tubes surround by a shell that contains the other fluid. t Figure 5. Corrugated tubes can enhance the operation of shell-andtube heat exchangers and enable more-compact designs. Cold Fluid Out Hot Fluid In Cold Fluid In Hot Fluid Out p Figure 2. A plate heat exchanger consists of a series of parallel plates packed together to allow hot and cold fluid to flow in alternating channels between the plates. q Figure 6. Similar to a shell-and-tube heat exchanger, scrapedsurface exchangers are composed of a tube or tubes within a vessel. The tubes include a mechanism to scrape their interior surface. t Figure 3. A herring­bone pattern on the heat-transfer plates increases fluid turbulence and, thus, the heat-transfer rate. Vessel Outlet Scraper Blades Blade Fixation Tube Inlet Tube Outlet Rotor Vessel Inlet Copyright © 2020 American Institute of Chemical Engineers (AIChE). Not for distribution without prior written permission. CEP February 2020 www.aiche.org/cep 35 Back to Basics offers the appropriate amount of heat transfer for the fluid(s) being treated at the required throughput rate. Given inlet and outlet temperatures for specified fluids, sizing calculations determine the necessary heat-transfer area. Most calculations also factor in variables such as whether the heat exchanger operates using a countercurrent or parallel flow arrangement. The common heat exchanger sizing equation is: where Q is the rate of heat transfer between the two fluids (Btu/hr); U is the overall heat-transfer coefficient (Btu/ft2-hr-°F), which depends on the conductive properties of the fluids and the heat exchanger material; A is the heattransfer surface area (ft2); and ∆Tlm is the log mean temperature difference (°F) calculated from the inlet and outlet temperatures of both fluids. The log mean temperature difference calculation depends on the heat exchanger flow pattern. For countercurrent flow: and for parallel flow: where T denotes temperature, the subscripts h and c indicate the hot and cold streams, and the subscripts o and i indicate the inlet and outlet of the heat exchanger. The value of U is harder to calculate, requiring the individual heat-transfer coefficients hh and hc for each fluid (W/m2-K), the thermal resistance of the tube wall Rw (m2-K/W), and the fouling factors Rf for each fluid (m2-K/W): in commercial operation. Some fluids, such as viscous and non-Newtonian fluids and materials containing particles, have complex properties — thus the need for advanced heat exchanger technologies (e.g., corrugated-tube and scrapedsurface heat exchangers). The resistance to heat flow of the barrier between the two fluids is an important factor that controls heat transfer. The barrier, in effect, consists of five layers, each of which contributes to the overall resistance. The resistance of the inside and outside boundary layers, formed by the fluid flowing in close contact with the inside and outside surface of the tube, can typically be estimated based on experience. The thickness of the tube wall and the material used affect the resistance to heat transfer, and the heat exchanger designer will select the tube size, thickness, and materials to suit the application. Fouling layers on the inside and outside surfaces of the tube (which may or may not be present) depend on both the nature of the fluids and the geometry of the heattransfer surfaces. Increasing the speed at which fluids pass through the exchanger creates turbulence so that the boundary layer breaks away from the surface of the tube, creating turbulent flow. During turbulent flow, fluid does not flow in smooth layers but is mixed and agitated. The velocity at which turbulence occurs is influenced by many factors. The Reynolds number is useful in quantifying flow when specifying a heat exchanger. Reynolds number. The Reynolds number (Re) is the ratio of the inertial force to the viscous force: The values of Rf for the hot and cold fluids are usually specified by the user, while h and Rw values can be influenced directly by the designer through choice of tube size, tube thickness, and material of construction. The values of h depend greatly on the nature of the fluids and, crucially, the geometry of the heat-transfer surfaces that the fluids contact, as boundary layer interactions heavily influence the value. where 𝜌 is the density of the fluid, V is the velocity of the fluid, L is the length of the fluid path (e.g., the tube diameter), and µ is the viscosity of the fluid. Reynolds numbers of less than 2,000 denote laminar flow, while numbers above 10,000 indicate turbulent flows. Between those two values is an area of uncertainty called the transition zone, where turbulence may or may not be generated depending on some unpredictable factors. For example, deforming the tube, as in the case of corrugated-tube heat exchangers, introduces turbulent flow at Reynolds numbers below 10,000. In practice, heat exchanger designs should avoid transition flow regimes. Nusselt number. The Nusselt number (Nu) is the ratio of convective heat transfer to conductive heat transfer at a surface or boundary: Laminar and turbulent flow The driving force for heat transfer in a heat exchanger is the difference between the temperatures of the hot and cold fluids. This simplification, however, has limited use where k is the thermal conductivity of the fluid. The convective heat transfer depends on the fluid characteristics and the geometry of the heat exchanger, while the 36 www.aiche.org/cep February 2020 CEP Copyright © 2020 American Institute of Chemical Engineers (AIChE). Not for distribution without prior written permission. conductive heat transfer depends on the fluid properties. The Nusselt number and Reynolds number are related to each other, as the flow regime dictates the rate of heat transfer. Figure 7 illustrates the relationship between Re and Nu. As the flow regime becomes more turbulent, Nu increases. Designs that achieve a higher Nu value enable greater heat transfer, requiring less area to meet the heat load requirements and reducing the overall cost of the heat exchanger. Designs that attempt to reduce the value of Re at which turbulent flow occurs mostly increase the resistance to fluid flow and cannot be used with fluids that contain solids or very viscous fluids. Designs that deform the tube, such as with a continuous shallow spiral indentation (Figure 5), can reduce the value of Re at which turbulence occurs, and they (a) Laminar Corrugated Tube Smooth Tube Nusselt 1,000 Outlet Inlet 100 10 100 1 (b) Transition 10,000 100,000 Outlet Inlet Corrugated Tube Smooth Tube Nusselt 1,000 1,000 Reynolds 100 10 100 1 (c) Turbulent 1,000 Reynolds 100,000 Outlet Inlet Corrugated Tube Smooth Tube Nusselt 1,000 10,000 100 10 1 100 1,000 Reynolds 10,000 100,000 p Figure 7. (a) In a laminar flow regime, corrugated tubes have no effect on the value of Nu. (b) While engineers attempt to avoid transition flow regimes, corrugated tubes improve the convective heat transfer in this flow region. (c) At Reynolds numbers above 10,000, corrugated tubes provide a marked benefit, increasing the heat transfer greatly over that of smooth tubes. Copyright © 2020 American Institute of Chemical Engineers (AIChE). Not for distribution without prior written permission. do not have these disadvantages. Adjusting the depth, angle, and width of the indentation can decrease the Reynolds number at which turbulent flow is produced significantly below 10,000. When balanced correctly with other factors, tube deformation reduces the surface area requirement and the cost of the heat exchanger. Fouling factors Fouling factors account for the resistance to heat flow due to the buildup of a layer of dirt or other fouling substance on the tube surfaces. Fouling factors are normally specified by the user based on experience running the plant or process, or calculated based on an assessment of the materials involved. Controlling fouling is critical because it can negate any benefits of careful heat exchanger design, but fouling factors are often overstated in an attempt to minimize the need for cleaning. However, if the wrong fouling factor is used, cleaning may actually be required more frequently. Fouling mechanisms vary and depend on the application, but they can be broadly classified into four common and readily identifiable types. Chemical fouling occurs when chemical changes within the fluid cause a fouling layer to deposit onto the tube surface. A common example is scaling in a kettle or boiler — as the solubility of the salts decreases with increasing temperature, the salts deposit onto the heating element. Careful control of the tube wall temperature in contact with the fluid can minimize scaling. When chemical fouling occurs, it must be removed by chemical treatment or mechanical descaling processes (e.g., wire brushes, drills, high-pressure water jets). Biological fouling occurs when biological organisms in the fluid grow and deposit onto the surface of the heat exchanger. While design has little influence on this type of fouling, biological growth can be affected by the choice of materials, as certain materials such as nonferrous brasses are poisonous to some organisms. When biological fouling occurs, it can be removed by either chemical treatment or mechanical brushing processes. Deposition fouling occurs when particles in the fluid settle onto the surface because the fluid velocity is below a critical value. This is largely within the control of the heat exchanger designer, as the critical velocity for any fluid and particle combination can be calculated to inform a design that maintains a sufficient fluid velocity. Mounting a heat exchanger vertically can also minimize the effect of deposition fouling, as gravity tends to pull the particles away from the heat-transfer surface, even at low velocities. Deposition fouling on surfaces can be removed by mechanical brushing. Corrosion fouling occurs when a layer of corrosion products builds up on the surfaces of a tube, forming an CEP February 2020 www.aiche.org/cep 37 Back to Basics extra layer of material that often has a high thermal resistance. Careful choice of construction materials can minimize corrosion. Many corrosion-resistant materials made of stainless steel and nickel-based alloys are now available. The design process The next step in heat exchanger design is to assess the application to define the heat exchanger. Designing a heat exchanger requires considering the process energy balance, determining the heat exchanger geometry, and completing the necessary calculations. Energy balance. Evaluating the energy balance using the known data for the fluids or gases to be heated or cooled helps to define the system. Users typically define the process fluid flowrate and the desired entry and exit temperatures, and indicate the type of HTF to be used, as well as its flowrate, entry temperature, and/or exit temperature. (If two of these HTF values are known, the third parameter can be calculated.) Heat exchanger geometry. Design engineers define the geometry of the heat exchanger. For a shell-and-tube heat exchanger, they choose the shell diameter and define the tube bundle that is placed inside the heat exchanger, including the number of tubes, the tube diameter, thickness, and length. Next, they define the dimensions of the shellside and tubeside fluid connections. During this phase, designers determine the materials of construction, as this choice affects the next step. Thermal calculations. For a shell-and-tube exchanger, the Nomenclature A = heat-transfer surface area h = heat-transfer coefficient k = fluid thermal conductivity L = length of the fluid path Nu = Nusselt number Q = heat-transfer rate between the hot and cold fluids = fouling factor Rf = tube-wall thermal resistance Rw Re = Reynolds number T = temperature U = overall heat-transfer coefficient V = fluid velocity Subscripts c = cold fluid h = hot fluid i = inlet o = outlet Greek Letters = log mean temperature difference DTlm m = fluid viscosity r = fluid density 38 www.aiche.org/cep February 2020 CEP objective of this stage is to obtain the shellside and tubeside heat-transfer coefficients, which depend on the fluid properties and the velocity of the fluid. The relationship between the fluid properties and the heat-transfer coefficients is specific to the heat exchanger geometry. Heat exchanger manufacturers have their own specific formulas for use with their designs. Once the shellside and tubeside coefficients are known, the overall heat-transfer coefficient can be calculated by Eq. 4 and, subsequently, the total heat-transfer area by Eq. 1. The pressure drop across the heat exchanger is another important parameter that is calculated for the shellside and tubeside fluids. The pressure drop is a function of Re, the type of flow (turbulent or laminar flow), and the roughness of the shell and tubes. If the calculated pressure drop exceeds a design maximum, then a new geometry must be selected to reduce the pressure drop. Mechanical calculations. The mechanical design calculations ensure that the heat exchanger design is compatible with the design pressure and conditions. Typical calculations for a shell-and-tube exchanger include: • shell wall thickness • nozzle wall thickness • tube wall thickness • expansion joint dimensions (to compensate for shellside and tubeside differential expansion due to temperature differences) • tubesheet thickness. Mechanical design calculations may produce wall thicknesses or other parameters that do not adhere to the original geometrical design. In that case, a new geometry must be proposed. Drawings. The drawing package for the heat exchanger contains the details of the various components, including the shell, tubes, expansion joints, connections, etc. Design advice Many of the commonly used references for calculating and modeling heat exchanger performance are up to 80 years old and do not always reflect the most recent science. In addition, while scientific literature provides data for the behavior of fluids in smooth and corrugated tubes, little published data on scraped-surface heat exchangers is available. Heat exchanger manufacturers are one of the best resources for the latest data to ensure correct heat exchanger CEP specification and design. ARNOLD B. KLEIJN is the sales and product development director at HRS Heat Exchangers, where he is responsible for sales and equipment development. His proficiency in Dutch, Spanish, English, German, and French help him to engage with customers around the world. Kleijn holds a degree in chemical engineering from the Univ. of Twente (Netherlands) and a degree in engineering from the IFP School in Paris. Copyright © 2020 American Institute of Chemical Engineers (AIChE). Not for distribution without prior written permission.