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Some theoretical information on evaporation is provided for everyone to learn from and discuss

2009-03-27View Original

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The principle of distillation is a unit operation that utilizes the differences in the relative volatility (boiling points) of various components within a mixture under certain pressures to separate them. I. Overview of the evaporation process 1. Concept of evaporation The process of heating a solution containing non-volatile solutes to boiling point, causing the volatile solvent to vaporize and thereby concentrating the solution, is called evaporation. Evaporation operations are widely used in many industries such as chemical engineering, light industry, pharmaceuticals, and food processing. 2. Purpose of evaporation operations The main purposes of industrial evaporation operations are: (1) to concentrate dilute solutions in order to produce liquid products directly, or to further process the concentrated solutions (such as through cooling and crystallization) to obtain solid products. Examples include the concentration of dilute caustic soda solutions (electrolytes), sugar water solutions, as well as various fruit juices and milk ; (2) Production of pure solvents; in this case, the solvent that is vaporized is the product, such as the production of fresh water through the evaporation and desalination of seawater. (3) Simultaneous preparation of a concentrated solution and recovery of the solvent, such as the evaporation of alcohol extracts in traditional Chinese medicine production. In industry, the solutions that are evaporated are mostly aqueous solutions; therefore, the discussions in this chapter are limited to the evaporation of aqueous solutions. In principle, the basic principles of aqueous solution evaporation and the associated equipment are also applicable to the evaporation of other liquids. 3. Evaporation process: According to the theory of molecular motion, when a liquid is heated, the molecules near the heating surface continuously gain kinetic energy. When the kinetic energy of some molecules is greater than the attractive force between liquid molecules, these molecules escape from the surface of the liquid and become free molecules; this is what is known as molecular vaporization. Therefore, the evaporation of the solution requires continuous supply of thermal energy to it in order to maintain the continuous vaporization of its molecules ; On the other hand, the steam above the liquid surface must be removed promptly; otherwise, the steam and the solution will gradually reach equilibrium, and vaporization will not be able to proceed continuously. 【Play Animation 5-1】Liquid Evaporation Process The simplified process of liquid evaporation is shown in Figure 5-1. The main equipment for this process, the evaporator, consists of a heating chamber and a separation chamber. The heating chamber contains vertically arranged heating tubes, and a heating medium (usually saturated water vapor) is used to heat the solution inside these tubes, causing it to boil and vaporize. The concentrated solution (referred to as the finished product) is discharged from the bottom of the evaporator. The vapor generated by the evaporation of the solution is separated from the solution in the separation chamber at the top, and then guided to the condenser from above. For ease of distinction, the vapor that is distilled off is called secondary steam, while the heating steam is called primary steam or fresh steam. For the evaporation of solutions with high boiling points, high-temperature heat carriers such as heat transfer oil and molten salts can be used as heating media, or flue gas can be employed for direct heating. 4. Classification of evaporation processes (1) Evaporation at atmospheric pressure, under pressure, and under reduced pressure. Depending on the pressure used in the evaporation process, it can be classified as evaporation at atmospheric pressure, under pressure, or under reduced pressure (vacuum). For most solutions with no special requirements, normal pressure, pressurized, or reduced-pressure operations can all be used. However, for the evaporation of heat-sensitive liquids such as antibiotic solutions and fruit juices, it is necessary to carry out the process under reduced pressure in order to ensure product quality. The advantages of vacuum evaporation are: 1) The boiling point of the solution decreases; under conditions where the temperature of the heating steam remains constant, the average temperature difference for heat transfer in the evaporator increases, thereby reducing the required heat transfer area ; 2) Due to the reduced boiling point of the solution, low-pressure steam or waste heat steam can be used as the heating steam ; 3) The solution has a low boiling point, which prevents the denaturation or decomposition of heat-sensitive materials ; 4) Due to the low temperature, the system has low heat loss. On the other hand, due to the reduced boiling point, the viscosity of the solution is high, which decreases the heat transfer coefficient for evaporation; meanwhile, vacuum evaporation requires additional equipment and power to create the vacuum. (2) Single-effect evaporation and multi-effect evaporation: Depending on whether the secondary steam is used as heating steam for another evaporator, the evaporation process can be divided into single-effect evaporation and multi-effect evaporation. If the secondary steam from the previous stage is condensed directly without being reused, it is called single-effect evaporation. Figure 5-1 shows a schematic diagram of the single-effect evaporation process. The evaporation process in which secondary steam is directed to the next evaporator as heating steam, and multiple evaporators are connected in series to allow the heating steam to be reused multiple times, is called multi-effect evaporation. (3) Intermittent evaporation and continuous evaporation: Based on the mode of the evaporation process, it can be divided into intermittent evaporation and continuous evaporation. Intermittent evaporation refers to evaporation operations with batch feeding or discharging. The characteristic of batch operation is that, throughout the process, the concentration and boiling point of the solution in the evaporator change over time; therefore, batch evaporation is a non-steady-state operation. Generally, intermittent evaporation is suitable for small-scale, multi-product operations, while continuous evaporation is suitable for large-scale production processes. 5. Characteristics of the evaporation process As mentioned earlier, the evaporation process involves separating part of the solvent from a solution, while the amount of solute in the solution remains unchanged. Therefore, evaporation is a heat transfer process, and the rate of heat transfer is the controlling factor in this process. The equipment used for evaporation is a type of heat exchange device. However, compared with general heat transfer processes, the evaporation process has its own characteristics, mainly manifested in: (1) elevation of the solution’s boiling point. The liquid to be evaporated is a solution containing non-volatile solutes; according to Raoult’s law, at the same temperature, the vapor pressure of a solution is lower than that of the pure solvent. In other words, at the same pressure, the boiling point of the solution is higher than that of the pure solvent. Therefore, when the temperature of the heating steam is constant, the heat transfer temperature difference during the evaporation of a solution is smaller than that during the evaporation of a solvent. The higher the concentration of the solution, the more pronounced this effect is. When calculating evaporation equipment, this effect of the increase in solution boiling point must be taken into account. (2) Process characteristics of the material: During the evaporation process, certain properties of the solution change as it becomes more concentrated. Some materials may scale, precipitate crystals, or produce foam during the concentration process ; Some materials are thermosensitive and prone to degradation or decomposition at high temperatures ; Some materials are highly corrosive or have high viscosity, among other properties. Therefore, when selecting the evaporation method and equipment, these process characteristics of the material must be taken into account. (3) Energy utilization and recovery: A large amount of heating steam is required for evaporation, and the vaporization of the solution generates a significant amount of secondary steam. How to make full use of the latent heat in this secondary steam in order to improve the efficiency of heating steam is also an important issue in evaporator design. Question: Briefly describe the characteristics of evaporation processes by comparing them with ordinary heat transfer processes. Answer: Evaporation is a process in which part of the solvent is separated from the solution, while the amount of solute remaining in the solution remains unchanged. Therefore, evaporation is a heat transfer process, and the rate of heat transfer is the controlling factor in this process. The equipment used for evaporation is a type of heat exchange device. However, the evaporation process has its own characteristics, mainly manifested in: (1) increase in the boiling point of the solution. The liquid to be evaporated is a solution containing non-volatile solutes; according to Raoult’s law, at the same temperature, the vapor pressure of a solution is lower than that of the pure solvent. In other words, at the same pressure, the boiling point of the solution is higher than that of the pure solvent. Therefore, when the temperature of the heating steam is constant, the heat transfer temperature difference during the evaporation of a solution is smaller than that during the evaporation of a solvent. The higher the concentration of the solution, the more pronounced this effect is. When calculating evaporation equipment, this effect of the increase in solution boiling point must be taken into account. (2) Process characteristics of the material: During the evaporation process, certain properties of the solution change as it becomes more concentrated. Some materials may scale, precipitate crystals, or produce foam during the concentration process ; Some materials are thermosensitive and prone to degradation or decomposition at high temperatures ; Some materials are highly corrosive or have high viscosity, among other properties. Therefore, when selecting the evaporation method and equipment, these process characteristics of the material must be taken into account. (3) Energy utilization and recovery: A large amount of heating steam is required for evaporation, and the vaporization of the solution generates a significant amount of secondary steam. How to make full use of the latent heat in this secondary steam in order to improve the efficiency of heating steam is also an important issue in evaporator design. Question: What are temperature difference losses and the boiling point elevation of a solution? And briefly analyze the reasons for it. Answer: In evaporation calculations, the difference between the total temperature difference and the effective temperature difference is usually referred to as the temperature difference loss, that is . Also known as the elevation of the boiling point of a solution. The boiling point elevation (or temperature difference loss) of the solution in the evaporator should consist of the following three components, namely. (1) Boiling point elevation due to the presence of solutes in the solution: Since the solution contains non-volatile solutes that prevent the vaporization of the solvent, the boiling point of the solution is always higher than that of pure water under the same pressure. The boiling point tB of a solution is primarily related to the type of solution, its concentration, and the pressure. (2) Boiling point elevation caused by the hydrostatic head of the liquid column: Since the pressure inside the liquid layer is greater than the pressure at the surface of the liquid, the boiling point of the solution inside is higher than the boiling point tB at the surface; the difference between these two values represents the boiling point elevation caused by the hydrostatic head of the liquid column. (3) Boiling point elevation due to flow resistance: As the secondary steam flows from the evaporation chamber to the condenser, its pressure drops due to pipeline resistance; as a result, the pressure inside the evaporator is higher than that inside the condenser. In other words, the saturation temperature of the secondary steam inside the evaporator is higher than that inside the condenser; the resulting increase in boiling point is expressed as . It is related to the flow velocity of the secondary steam in the pipeline, its physical properties, and the size of the pipeline, but it is difficult to analyze quantitatively; generally, empirical values are used, around 1~1.5℃. For multi-effect evaporation, the boiling point elevation between effects is generally taken as 1°C. Question: In a multi-effect evaporation unit with parallel feed, the overall heat transfer coefficient generally decreases from one effect to another, while the evaporation rate increases slightly with each effect. Please analyze the reasons. Answer: In multi-effect evaporation, the operating pressure of each effect decreases sequentially; accordingly, the temperature of the heating steam and the boiling point of the solution in each effect also decrease sequentially. Therefore, multi-effect evaporation is only feasible when the pressure of the supplied fresh heated steam is high or a vacuum is used in the last effect. During cross-flow feeding, the solution flows from the evaporator with higher pressure and temperature to the evaporator with lower pressure and temperature; therefore, the transfer of the solution between the evaporators can take advantage of the pressure difference between them, without the need for pumps. At the same time, when the solution from the previous stage, with lower temperature and pressure, flows into the subsequent stage, self-evaporation (flash evaporation) occurs, thereby generating an additional amount of secondary steam. However, as the solution flows from one stage to the next, its concentration increases while the temperature decreases, which leads to an increase in the viscosity of the solution and a decline in the heat transfer coefficient of the evaporator. Question: Why is there an optimal number of effects in multi-effect evaporation? Answer: In multi-effect evaporation, as the number of effect stages increases, the temperature difference loss increases. In the evaporation of certain solutions, it is possible for the total temperature difference loss to be greater than or equal to the total temperature difference, in which case the evaporation process cannot proceed. Therefore, the number of effects in multi-effect evaporation is limited to a certain extent. On the one hand, as the effectiveness increases, the steam consumption per unit decreases, resulting in lower operating costs ; On the other hand, the more effect numbers there are, the higher the equipment investment cost. Furthermore, as can be seen from Table 5-3, although it decreases as the effect size increases, the degree of decrease becomes smaller and smaller. Therefore, the appropriate exponent for evaporation should be determined by balancing the principle of minimizing the sum of equipment costs and operating costs. Typically, the number of effects in industrial multi-effect evaporation operations depends on various factors such as the properties of the solution to be evaporated and the magnitude of temperature difference losses. The effective temperature difference of each effect evaporator is at least 5~7°C. The boiling point elevation of the solution is high, and fewer significant figures are used. Question: What are the measures to increase production intensity? What are their respective limitations? Answer: The basic ways to increase the evaporation intensity are to raise the overall heat transfer coefficient K and the heat transfer temperature difference. (1) The magnitude of the heat transfer temperature difference depends on the pressure of the heating steam and the operating pressure of the condenser. However, the increase in the vapor pressure due to heating is often limited by the gas supply conditions in the plant, generally ranging from 0.3 to 0.5 MPa, and sometimes it can reach 0.6 to 0.8 MPa. Moreover, when increasing the vacuum level in the condenser, the power consumption required to create that vacuum must be taken into account. Furthermore, as the vacuum level increases, the boiling point of the solution decreases and its viscosity increases, causing the overall heat transfer coefficient K to drop. Therefore, the operating vacuum degree of the condenser should generally not be lower than 10~20 kPa. From the above analysis, it can be seen that there are limitations to increasing the heat transfer temperature difference. (2) Another way to increase the evaporation intensity is to increase the overall heat transfer coefficient. The overall heat transfer coefficient K depends on the convective heat transfer coefficients on both sides and the fouling thermal resistance. The heat transfer coefficient for steam condensation is generally higher than that for solution boiling; in other words, within the overall heat transfer resistance, the resistance on the steam condensation side is smaller. However, in evaporator operation, it is necessary to remove the non-condensable gases from the steam promptly, otherwise its resistance will increase, resulting in a decrease in the overall heat transfer coefficient. The boiling heat transfer coefficient on the solution side of the tube is the main factor affecting the overall heat transfer coefficient. As mentioned earlier, there are many factors that influence it, such as the properties of the solution, the type of evaporator, and the operating conditions, among others. From the correlation equations for the boiling heat transfer coefficient introduced earlier, it is possible to understand several factors that influence it, so as to select an appropriate type of evaporator and its operating conditions based on the actual evaporation requirements. The fouling thermal resistance on the solution side of the tube is often an important factor affecting the overall heat transfer coefficient. Especially with solutions that tend to scale and crystallize during evaporation, scale layers can easily form on the heat transfer surfaces, causing the K value to drop sharply. To reduce the thermal resistance of the scale layer, the usual approach is to clean it regularly. Furthermore, other measures to reduce the thermal resistance of the scale layer can also be employed. For example, select an appropriate evaporator type (such as forced circulation or Leven evaporators, etc.) ; Add seeds or trace amounts of scale inhibitors, etc., to the solution. Question: If the heat of dilution is significant, how does it affect the amount of steam required? Answer: Some solutions, such as aqueous solutions of CaCl2 and NaOH, exhibit a very significant exothermic effect when diluted. Therefore, during evaporation, as the reverse process of solution dilution, in addition to providing the latent heat of vaporization required for water evaporation, it is also necessary to supply a concentration heat equal to the heat of dilution. The greater the solution concentration, the more pronounced this effect becomes. Chapter 5 Evaporation Section 1 Introduction I. Evaporation process and its applications in industry Principle: Evaporation is a unit operation for concentrating solutions. It uses heating to bring a solution containing insoluble solutes to a boil, during which some of the solvent is vaporized and removed, thereby concentrating the solution. Application: Evaporation is primarily used to increase the concentration of solutes ; Concentrated solution and recovered solvent ; Obtain pure solvents, etc. II. Characteristics of evaporation operation The evaporation operation is a process in which a solution is heated to its boiling point, thereby separating the volatile solvent from the non-volatile solute. The evaporation process is carried out by supplying the heat required to vaporize the solvent and removing the resulting vapor promptly. The heating chamber of the evaporator typically uses a shell-and-tube heat exchanger, with constant temperatures on both sides. The characteristics of the evaporation process (compared to heat transfer) are: 1. Temperature difference losses occur due to factors such as the increase in the boiling point of the solution ; 2. Since a large amount of heat is consumed during the evaporation process, thermal energy utilization should be given full consideration ; 3. Due to the differences in the properties of the materials being processed, it is necessary to fully consider the characteristics of those materials as well as the process conditions before selecting or designing an appropriate evaporator. III. Classification of evaporation operations 1. Based on the mode of operation, they can be divided into batch and continuous types; most evaporation processes are steady-state continuous operations. 2. Based on the utilization of secondary steam, it can be divided into single-effect evaporation and multi-effect evaporation. If the generated secondary steam is not utilized and is instead condensed directly in a condenser before being discharged, this process is known as single-effect evaporation. If the secondary vapor is directed to another evaporator with a lower operating pressure as heating vapor, and several evaporators are used in series, this operation is called multi-effect evaporation. In multi-effect evaporation, the latent heat of the secondary steam is utilized more fully, improving the efficiency of the heating steam. 3. Evaporation can take place at normal pressure, under pressure, or under reduced pressure. Reduced-pressure evaporation is also known as vacuum evaporation. Vacuum evaporation has many advantages: it operates at low pressure, resulting in a lower boiling point of the solution, which facilitates an increase in the temperature difference for heat transfer during evaporation ; Low-pressure steam can be used as a heat source ; It is also favorable for the evaporation of heat-sensitive substances. In pressure evaporation, the temperature of the resulting secondary vapor is high, and it can be used as heating vapor for the next stage. Therefore, single-effect evaporation is mostly vacuum evaporation ; The preceding stage of multi-effect evaporation operates under pressure or at atmospheric pressure, while the subsequent stages operate under vacuum. Section 2: Single-Effect Evaporation and Vacuum Evaporation I. Design Calculations for Single-Effect Evaporation The evaporator consists of a heater and an evaporation chamber; in addition, a defoamer, a condenser, and other components are also required. The contents of the design calculations for single-effect evaporation include: 1. The amount of water to be evaporated; 2. The consumption of heating steam; 3. The heat transfer area required by the evaporator. 1. Calculation of the amount of water to be evaporated: In the evaporation process, since the solute is a non-volatile substance, its mass remains unchanged before and after evaporation. By performing a material balance on it, the amount of water to be evaporated can be determined. The concentration of the resulting liquid is then calculated. 2. Calculation of the heating steam consumption: The amount of heating steam needed is determined through heat balance calculations. If only the latent heat of condensation of the heating steam is utilized, the condensed liquid is discharged at the saturation temperature, and its amount is . If the solution is heated at its boiling point and no heat losses are considered, then it is . In these formulas, D/W represents the amount of steam consumed per unit volume, while r′ denotes the latent heat of condensation of the heating steam ; r is the latent heat of condensation of the secondary vapor. 3. Calculation of the heat transfer area of the evaporator 1) Determination of the average temperature difference for heat transfer Δtm: In the evaporation process, the average temperature difference for heat transfer should be , which is referred to as the effective temperature difference; here, T represents the temperature of the heating steam ; t1 is the boiling point of the solution, and this value must be determined through calculation. If the heat source for the evaporation process is saturated steam, T can be obtained from a steam table. The boiling point t1 of the solution is usually determined by first finding, using a saturated steam table and the pressure p of the condenser, the condensation temperature T’ of the secondary vapor. After calculating various temperature difference losses, it is computed using the following formula. The temperature difference losses include: A, the elevation in the boiling point of the solution – this is typically the increase in boiling point of the solution compared to pure solvent (water) under normal pressure due to the presence of solutes; that is, it is given by , where tA represents the boiling point of the solution under normal pressure, which can be found in reference manuals. If the evaporation process is carried out under pressure or in a vacuum, it is often necessary to multiply by a correction factor; here, T’ and r’ refer to the saturation temperature of the secondary vapor and the latent heat of vaporization at the operating pressure, respectively. B. Boiling point elevation of the solution due to the hydrostatic head of the liquid column: There is a certain liquid level in the heating chamber of the evaporator. Since the pressure below the liquid surface is higher than the pressure at the surface of the liquid, the boiling point below the surface is higher than that at the surface. The difference between these two values is referred to as the boiling point elevation of the solution caused by the hydrostatic head of the liquid column. This value is expressed using the pressure at half the height of the liquid column, and it can be approximated using certain formulas. In these formulas, tav and tb represent the saturated temperatures of the vapor at pressures pav and p’, respectively. C. Temperature difference loss caused by pressure drop due to pipeline resistance. This loss is the temperature difference resulting from the pressure drop experienced by the secondary vapor as it moves from the outlet of the separation chamber to the condenser; it is typically taken as 1°C. Therefore, the total temperature difference loss during the evaporation process is = + + the boiling point of the solution t1. 2) Determination of the overall heat transfer coefficient K: The overall heat transfer coefficient of the evaporator can be calculated using the following formula. Among the various factors that affect the value of K, Ri and ?i are usually the main considerations in its design and operation. During the evaporation process, the water in the solution at the heating surface vaporizes, causing the concentration to rise; as a result, the solution easily reaches a saturated state. The solute then precipitates and coats the solid impurities, adhering to the surface and forming dirt. Therefore, Ri is often the main component of the total thermal resistance of the evaporator. To reduce the fouling thermal resistance, common measures employed in engineering include increasing the solution circulation speed, adding seeds and trace amounts of scale inhibitors to the solution, etc. There are many factors that affect i, such as the properties of the solution, the conditions of boiling heat transfer, operating conditions, and the structure of the evaporator. Effective ways to improve ?i include increasing the circulation speed of the solution and the degree of turbulence, etc. Generally, the overall heat transfer coefficient K is still primarily determined through on-site measurements; it can also be estimated by referring to tables during design. II. Production capacity and production intensity of the evaporator 1. Production capacity of the evaporator The production capacity of an evaporator can be expressed by the amount of water evaporated per unit of time. Since the amount of water evaporated depends on the amount of heat transferred, its production capacity can also be expressed in this way. 2. Evaporator production intensity: The evaporator’s production intensity, denoted as u, refers to the amount of water evaporated per unit time per unit area of heat transfer surface, measured in kg/(m2·h). If the feed is at boiling point and no heat losses are considered, then, according to the relevant formulas, it can be seen that if the pressure during evaporation remains constant, the vaporization heat r’ of the secondary steam can also be regarded as a constant. Therefore, to increase the evaporator’s production intensity, the main approaches are to raise the overall heat transfer coefficient K and the temperature difference for heat transfer Δtm (T – t1). The former has been mentioned above. Methods to increase the heat transfer temperature difference: Use vacuum evaporation or employ high-temperature heat sources such as high-temperature heat transfer oil, molten salts, or electric heating. Section 3: Multiple Effect Evaporation. The purpose of using multiple effect evaporation is to reduce the amount of fresh steam required; this is achieved by using the secondary steam from one stage as the heating steam for the subsequent stage. I. Multi-effect evaporation process 1. Co-current process: That is, both the heated steam and the feed liquid flow through each effect in sequence. The characteristic of this feeding method is that material can be automatically fed from one stage to the next; the material in the subsequent stage undergoes self-evaporation, allowing more water vapor to be removed. However, the viscosity of the solution increases as the number of stages increases, which leads to a decrease in the heat transfer coefficient at each stage. Therefore, co-current feeding is not suitable for processing materials whose viscosity rises significantly with increasing concentration. 2. Counter-current process: The direction of the heating steam is the same as in the co-current process, while the direction of the material flow is opposite to that in the co-current process. The characteristic of this type of feeding is a relatively uniform heat transfer coefficient across each stage, making it suitable for processing materials whose viscosity changes significantly with temperature. 3. Parallel flow process: The direction of the heated vapor is the same as in the co-current flow, but the feed liquid and the product liquid are added to and removed from each stage respectively. This process is suitable for handling materials that crystallize easily. II. Design calculations for multi-effect evaporation: The aspects that need to be calculated in multi-effect evaporation include the amount of water evaporated in each effect, the amount of heating steam required, and the heat transfer area. Due to its many effects and numerous unknowns, the calculation is much more complex than that of single-effect evaporation. Therefore, computers are now used for calculations. But the basic basis and principles remain material balance, heat balance, and heat transfer rate equations. Given the presence of unknown parameters in the calculations, the trial-and-error method is often used, with the following steps: 1. Determine the total amount of evaporation based on material balance ; 2. Set the evaporation amount for each effect based on experience, and then estimate the solution concentration for each effect. Generally, the evaporation volume for each stage can be set based on the principle that the evaporation volumes of all stages are equal. In an evaporation process with co-current feeding, due to the phenomenon of self-evaporation, the values can be set according to the following ratios: for two stages, and for three stages. Once the evaporation volumes for each stage have been determined, the concentration of each resulting liquid can be calculated through material balance calculations ; 3. Set the operating pressure for each effect to determine the boiling point of the solution in each effect. It is usually determined in accordance with the principle of equal pressure drop across each stage; that is, the pressure difference between adjacent stages is 4. The amount of steam required for heating and the volume of water to be evaporated in each stage are calculated using heat balance equations ; 5. Allocate the effective temperature differences for each stage according to the principle of equal heat transfer areas per stage, and determine the heat transfer area for each stage using the heat transfer efficiency equation ; 6. Check whether the heat transfer areas of each stage are equal; if not, the effective temperature differences for each stage need to be reallocated and recalculated until they are equal or similar. III. Limitations on the multiple-effect evaporation factor: Temperature difference losses occur in both single-effect and multiple-effect evaporation processes. If the operating conditions for both are the same, that is, when the heating steam pressure and the condenser pressure are identical, the temperature difference loss in multi-effect evaporation is greater than that in single-effect evaporation; moreover, the more effects there are, the greater the temperature difference loss will be. It is easy to understand that as the number of effects increases, the effective temperature difference allocated to each effect becomes smaller, which will lead to a decrease in the production capacity of the equipment. To achieve a certain level of production intensity, the heating area of the equipment must be increased, which leads to higher investment costs. Typically, three effects are used in engineering. IV. Economic Efficiency and Energy Saving in the Evaporation Process The evaporation process is a unit operation that requires significant energy consumption; therefore, energy usage is often considered another important criterion for evaluating its performance. This is also referred to as the economic efficiency of the heating steam, and it is defined as the amount of water that can be evaporated by 1 kg of steam. By generating additional steam for use in other equipment, its economic efficiency can be improved, while at the same time the load on the condenser is reduced, leading to less water needed for cooling. Using heat pump evaporation is also an effective measure to improve efficiency and reduce energy consumption. Furthermore, making full use of condensate water and its sensible heat is also a method employed in engineering, but it is not suitable for situations where vapor condenses directly.

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