A waste gas waste heat recovery device in a sodium methoxide production process
By designing a waste heat recovery device for the sodium methoxide production process, the problem of incomplete steam cooling is solved by utilizing heat exchange tubes and a water flow control structure. This achieves efficient heat recovery, extends equipment life, and improves heat exchange efficiency.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- NINGXIA YANCHI HENGHUIFENG COAL CHEM CO LTD
- Filing Date
- 2025-06-24
- Publication Date
- 2026-05-29
AI Technical Summary
In existing technologies, it is difficult to ensure that steam is completely cooled when it is in the external heat exchange pipe, which causes the residual heat to re-enter the distillation column and reduce the heat exchange efficiency.
A waste heat recovery device for the production of sodium methoxide was designed. It adopts a structure of heat exchange tube one and heat exchange tube two. The water flow direction is controlled by the inlet and outlet. Combined with temperature sensors and cleaning mechanisms, it ensures that the hot waste gas is thoroughly cooled and preheated in the heat exchange tubes. A propeller is used to realize water circulation, avoid the influence of scale, and improve heat exchange efficiency.
It achieves efficient cooling and preheating of hot exhaust gas, avoids direct contact between cold water and high-temperature coiled tubes, extends equipment life, improves heat exchange efficiency, ensures full water contact, and reduces the impact of scale.
Smart Images

Figure CN224302820U_ABST
Abstract
Description
Technical Field
[0001] This utility model relates to the field of waste heat recovery technology, specifically to a waste heat recovery device for waste gas in the sodium methoxide production process. Background Technology
[0002] Waste heat recovery devices extract energy from the exhaust gas emitted by the heat setter to heat the fresh air intake required by the heat setter, thereby reducing the exhaust gas temperature and saving energy in the heat setter. The main technologies include heat exchange technology, heat-to-work conversion technology, and waste heat cooling / heating technology.
[0003] A search revealed that an existing patent (CN218280584U) discloses a waste heat recovery and reuse device in the sodium methoxide production process, including a distillation column and a recovery column. A circulating pump is installed in the middle of the recovery column. An upper recovery chamber and a lower recovery chamber are respectively located at the top and bottom of the recovery column. Both the upper and lower recovery chambers are equipped with heat exchange components, including an external heat exchange tube, a connecting pipe, and an internal heat exchange hollow mesh plate. By adopting this technical solution, the heat exchange components in the upper and lower recovery chambers can exchange heat with the steam sequentially, thereby making the utilization rate of steam waste heat more comprehensive. Furthermore, an exhaust pipe is installed between the top of the distillation column and the upper recovery chamber, and a reflux pipe is installed between the bottom of the distillation column and the lower recovery chamber. This technical solution allows steam in the distillation column to enter the upper recovery chamber through the exhaust pipe; and steam in the lower recovery chamber to enter the distillation column through the reflux pipe, enabling circulation. Furthermore, the ends of the exhaust pipe and the reflux pipe furthest from the distillation column are connected to the external heat exchange tubes. By adopting the above technical solution, steam can enter the external heat exchange tube for waste heat recovery. This utility model is equipped with a heat exchange component. Steam enters the external heat exchange tube in the upper recovery chamber through the exhaust pipe and then flows through the connecting pipe into the inner heat exchange hollow mesh plate. This allows the steam to exchange heat in the upper recovery chamber for waste heat recovery. Then, by running a circulation pump, the steam can be transported to the lower recovery chamber. The steam passes through the inner heat exchange hollow mesh plate, the connecting pipe, and the external heat exchange tube again in sequence. The extended steam flow time further facilitates waste heat recovery. Moreover, since the steam is in the inner heat exchange hollow mesh plate, the contact area can be increased, making the heat exchange more uniform and avoiding the situation where the steam waste heat recovery and reuse method is not comprehensive and uniform.
[0004] However, in the above scheme, it is difficult to ensure that the steam is completely cooled when it flows back to the distillation column through the external heat exchange pipe. If the residual heat re-enters the distillation column for circulation, it will easily reduce the heat exchange efficiency.
[0005] In view of this, this utility model proposes a waste heat recovery device for the waste gas produced in the sodium methoxide production process. Utility Model Content
[0006] This invention proposes a waste heat recovery device for the production of sodium methoxide, which solves the problem in related technologies that it is difficult to ensure that the steam is completely cooled when it flows back to the distillation column through the external heat exchange pipe, and the residual heat is easily reduced when it re-enters the distillation column for circulation.
[0007] The technical solution of this utility model is as follows: A waste heat recovery device for waste gas in the production of sodium methoxide includes a distillation tower body: two connecting pipes 1 are fixedly connected to one side of the distillation tower body, and heat exchange pipe 1 and heat exchange pipe 2 are fixedly connected to the other side of the two connecting pipes 1 respectively. A connecting pipe 3 is fixedly connected between the heat exchange pipe 1 and heat exchange pipe 2. A water supply valve is fixedly connected inside the connecting pipe 3. A water inlet 2 is fixedly connected to one side of the heat exchange pipe 2, and a water outlet is fixedly connected to one side of the heat exchange pipe 1. Temperature sensors are fixedly connected inside both connecting pipes 1. The internal structures of the heat exchange pipe 1 and heat exchange pipe 2 are the same. Water inlet and outlet mechanisms are provided inside the upper and lower connecting pipes 1. Connecting pipes 2 are fixedly connected to the two ends of the upper and lower spiral pipes away from the distillation tower body. The two ends of heat exchange tube 1 and heat exchange tube 2 are connected to the upper and lower spiral tubes respectively. Both heat exchange tube 1 and heat exchange tube 2 are equipped with cleaning mechanisms. Propeller 1 and propeller 2 are fixedly connected to the two sides of heat exchange tube 1 and heat exchange tube 2 respectively. Since the hot waste gas is discharged from the distillation tower body, it first enters the interior of heat exchange tube 1 for heating. When it reaches the interior of heat exchange tube 2, it is the cooled hot waste gas. At this time, cold water enters through water inlet 2, which can cool the cooled hot waste gas more thoroughly. Moreover, the spiral tube inside heat exchange tube 2 can preheat the cold water, avoiding the cold water directly contacting the high-temperature spiral tube above, thus reducing the service life of the spiral tube. At this time, the heat is largely absorbed into the interior of heat exchange tube 1 at the top and discharged, achieving efficient heat exchange. The internal water temperature of heat exchange tube 1 and heat exchange tube 2 can be detected by the set temperature sensor.
[0008] Preferably, the water inlet and outlet mechanism includes an inlet valve and an outlet valve, with an inlet valve fixedly connected inside the connecting pipe on one side of the heat exchange tube and an outlet valve fixedly connected inside the connecting pipe on one side of the heat exchange tube.
[0009] Preferably, the second connecting pipe is fixed to the outside of the first heat exchanger tube and the second heat exchanger tube, and the first connecting pipe and the coiled tube on the upper side are connected to the coiled tube and the first connecting pipe on the lower side through the second connecting pipe.
[0010] Preferably, the cleaning mechanism includes a motor, a rotating rod, a water storage pipe, a water inlet, and a high-pressure nozzle. The motor is distributed on the upper and lower sides inside the heat exchange tube 1 and the heat exchange tube 2. The output end of the motor is fixedly connected to the rotating rod, and the other end of the rotating rod is fixedly connected to the water storage pipe. The high-pressure nozzle is fixedly connected to the outside of the water storage pipe. By activating the high-pressure nozzle, the surface of the coiled tube can be sprayed, preventing scale from forming on the surface of the coiled tube and affecting the heat exchange effect. By activating the motor, the water storage pipe can be rotated, which helps to uniformly spray the surface of the coiled tube with high pressure.
[0011] Preferably, there are multiple high-pressure nozzles, all of which face the spiral tube. The water storage pipe is fixedly connected to a water inlet on the side away from the motor, and the water inlet is internally connected to either heat exchange tube one or heat exchange tube two.
[0012] Preferably, the top of the water storage pipe is far from the inner wall of the first heat exchange pipe, the high-pressure nozzle and the water storage pipe are both far from the coiled pipe, and the motor is fixedly connected to the first heat exchange pipe and the second heat exchange pipe respectively.
[0013] Preferably, the first propeller is distributed above one side plate inside the first and second heat exchange tubes, and the second propeller is distributed below the other side plate inside the first and second heat exchange tubes.
[0014] Preferably, the outlet and inlet 2 are located below the heat exchange tube 1 and heat exchange tube 2 on the side away from the distillation column body, respectively. The connecting pipe 3 is away from the outlet and inlet 2. The motor and water storage pipe are both away from the connecting pipe 3. By having the inlet 2 and outlet on the upper and lower sides away from the connecting pipe 3, the bottom water flow can fully pass through the coiled tube and then be discharged into the interior of the heat exchange tube 1 through the connecting pipe 3. After fully passing through the coiled tube inside the heat exchange tube 1, it is discharged through the outlet, so that the coiled tube and the water flow are in full contact.
[0015] Preferably, the first propeller and the second propeller are the output propeller and the input propeller of the water flow, respectively. By distributing the first propeller and the second propeller on both sides inside the heat exchange tube, the water flow inside the heat exchange tube can be circulated, thereby ensuring full contact between the water flow and the inside of the coiled tube.
[0016] Preferably, both heat exchange tube one and heat exchange tube two are made of insulating material, and the two heat exchange tubes are of equal size.
[0017] The beneficial effects of this utility model are as follows:
[0018] 1. In this utility model, the hot waste gas discharged from the distillation tower body first enters the interior of heat exchange tube one for heating. When it reaches the interior of heat exchange tube two, it is a cooled hot waste gas. At this time, cold water enters through water inlet two, which can cool the cooled hot waste gas more thoroughly. Moreover, the coil tube inside heat exchange tube two can preheat the cold water, avoiding the cold water from directly contacting the high-temperature coil tube above, thus reducing the service life of the coil tube. At this time, the heat is largely absorbed into the interior of heat exchange tube one at the top and discharged, achieving efficient heat exchange. The internal water temperature of heat exchange tube one and heat exchange tube two can be detected by the set temperature sensor.
[0019] 2. In this utility model, the surface of the coiled tube can be sprayed by starting the high-pressure nozzle, which avoids the formation of scale on the surface of the coiled tube and affects the heat exchange effect. The water storage pipe can be rotated by starting the motor, which helps to uniformly spray the surface of the coiled tube with high pressure.
[0020] 3. In this utility model, the water inlet 2 and the water outlet 3 on the upper and lower sides are far away from the connecting pipe 3, so that the bottom water flow can fully flow through the coiled tube and then be discharged into the interior of the heat exchange tube 1 through the connecting pipe 3. After fully flowing through the coiled tube inside the heat exchange tube 1, it is discharged through the water outlet, so that the coiled tube and the water flow can fully contact each other. By setting the propeller 1 and propeller 2 to be distributed on both sides inside the heat exchange tube 1, the water flow inside the heat exchange tube 1 can be circulated, so that it can fully contact the interior of the coiled tube. Attached Figure Description
[0021] The present invention will now be described in further detail with reference to the accompanying drawings and specific embodiments.
[0022] Figure 1 This is a three-dimensional structural diagram of the present invention from one side view;
[0023] Figure 2 This is a three-dimensional structural schematic diagram of the present invention from another side view;
[0024] Figure 3 This is a three-dimensional schematic diagram of the present invention viewed from below;
[0025] Figure 4 This is a front view structural diagram of the present invention;
[0026] Figure 5 This is a front view of the internal structure of this utility model.
[0027] In the diagram: 1. Distillation column body; 2. Connecting pipe one; 3. Heat exchanger pipe one; 4. Temperature sensor; 5. Water inlet valve; 6. Coiled tube; 7. Connecting pipe two; 8. Heat exchanger pipe two; 9. Connecting pipe three; 10. Water supply valve; 11. Water outlet valve; 12. Motor; 13. Rotating rod; 14. Water storage pipe; 15. Water inlet one; 16. High-pressure nozzle; 17. Propeller one; 18. Propeller two; 19. Water inlet two; 20. Water outlet. Detailed Implementation
[0028] The technical solutions of this utility model will be clearly and completely described below with reference to the embodiments of this utility model. Obviously, the described embodiments are only some embodiments of this utility model, and not all embodiments. Based on the embodiments of this utility model, all other embodiments obtained by those of ordinary skill in the art without creative effort are within the scope of protection of this utility model.
[0029] Example 1
[0030] A preferred embodiment of the waste heat recovery device for the sodium methoxide production process provided by this utility model is, for example... Figures 1 to 5 As shown: A waste heat recovery device for waste gas in sodium methoxide production includes a distillation tower body 1. Two connecting pipes 1-2 are fixedly connected to one side of the distillation tower body 1. Heat exchange tubes 1-3 and 2-8 are fixedly connected to the other side of the two connecting pipes 1-2 respectively. A connecting pipe 3-9 is fixedly connected between heat exchange tubes 1-3 and 2-8. A water supply valve 10 is fixedly connected inside the connecting pipe 3-9. A water inlet 2-19 is fixedly connected to one side of heat exchange tube 2-8, and a water outlet 20 is fixedly connected to one side of heat exchange tube 1-3. The two connecting pipes... Temperature sensors 4 are fixedly connected inside heat exchange tube 1 and heat exchange tube 2. The internal structures of heat exchange tube 1 and heat exchange tube 2 are the same. Water inlet and outlet mechanisms are set inside the upper and lower connecting tubes 1 and 2. Connecting tube 2 7 is fixedly connected to the two ports of the upper and lower spiral tubes 6 away from the distillation column body 1. The two ends of connecting tube 2 7 are respectively connected to the upper and lower spiral tubes 6. Cleaning mechanisms are set inside heat exchange tube 1 and heat exchange tube 2. Propeller 1 17 and propeller 2 18 are fixedly connected to the two sides of heat exchange tube 1 and heat exchange tube 2, respectively.
[0031] It should be noted that existing waste heat recovery devices still have certain shortcomings. When the steam flows back to the distillation column through the external heat exchange pipe, it is difficult to ensure that it is completely cooled. If the remaining heat is re-entered into the distillation column for circulation, it will easily reduce the heat exchange efficiency.
[0032] In this embodiment, the hot exhaust gas discharged from the distillation tower body 1 first enters the interior of heat exchange tube 3 for heating. When it reaches the interior of heat exchange tube 8, it is cooled hot exhaust gas. At this time, cold water enters through inlet 19, which can cool the cooled hot exhaust gas more thoroughly. The coiled tube 6 inside heat exchange tube 8 can preheat the cold water, avoiding direct contact between the cold water and the high-temperature coiled tube 6 above, thus reducing the service life of the coiled tube 6. At this time, a large amount of heat is absorbed into the interior of heat exchange tube 3 at the top and discharged, achieving efficient heat exchange. The internal water temperature of heat exchange tube 3 and heat exchange tube 8 can be detected by the temperature sensor 4.
[0033] In a further preferred embodiment of the present invention, the water inlet and outlet mechanism includes an inlet valve 5 and an outlet valve 11. The inlet valve 5 is fixedly connected inside the connecting pipe 2 on one side of the heat exchange tube 3, and the outlet valve 11 is fixedly connected inside the connecting pipe 2 on one side of the heat exchange tube 8.
[0034] In a further preferred embodiment of the present invention, the second connecting pipe 7 is fixed to the outside of the first heat exchange pipe 3 and the second heat exchange pipe 8, and the first connecting pipe 2 and the coiled pipe 6 on the upper side are connected to the lower coiled pipe 6 and the first connecting pipe 2 through the second connecting pipe 7.
[0035] In a further preferred embodiment of this utility model, the cleaning mechanism includes a motor 12, a rotating rod 13, a water storage pipe 14, a water inlet 15, and a high-pressure nozzle 16. The motor 12 is distributed on the upper and lower sides inside the heat exchange tube 1 and the heat exchange tube 2. The output end of the motor 12 is fixedly connected to the rotating rod 13, and the other end of the rotating rod 13 is fixedly connected to the water storage pipe 14. The high-pressure nozzle 16 is fixedly connected to the outside of the water storage pipe 14.
[0036] In this embodiment, the high-pressure nozzle 16 can be activated to spray the surface of the coiled tube 6, avoiding the formation of scale on the surface of the coiled tube 6 which would affect the heat exchange effect. The motor 12 can be activated to rotate the water storage pipe 14, thereby helping to uniformly spray the surface of the coiled tube 6 with high pressure.
[0037] Example 2
[0038] Based on Example 1, a preferred embodiment of the waste heat recovery device for the sodium methoxide production process provided by this utility model is as follows: Figures 1 to 5 As shown: There are multiple high-pressure nozzles 16, all of which face the spiral tube 6. The water storage pipe 14 is fixedly connected to the side away from the motor 12 with a water inlet 15. The water inlet 15 is connected to the interior of the heat exchange tube 3 or the heat exchange tube 8.
[0039] In a further preferred embodiment of this utility model, the top of the water storage pipe 14 is far away from the inner wall of the heat exchange pipe 3, the high-pressure nozzle 16 and the water storage pipe 14 are both far away from the coiled pipe 6, and the motor 12 is fixedly connected to the heat exchange pipe 3 and the heat exchange pipe 8 respectively.
[0040] In a further preferred embodiment of the present invention, propeller 17 is distributed above one side plate inside heat exchange tube 3 and heat exchange tube 8, and propeller 28 is distributed below the other side plate inside heat exchange tube 3 and heat exchange tube 8.
[0041] In a further preferred embodiment of this utility model, the outlet 20 and the inlet 19 are located below the side of the heat exchange tube 3 and the heat exchange tube 8 away from the distillation tower body 1, respectively, the connecting pipe 9 is away from the outlet 20 and the inlet 19, and the motor 12 and the water storage pipe 14 are both away from the connecting pipe 9.
[0042] In this embodiment, by having the inlet 19 and outlet 20 on the upper and lower sides away from the connecting pipe 3, the bottom water flow can fully pass through the coiled tube 6 and then be discharged into the interior of the heat exchange tube 3 through the connecting pipe 3. After fully passing through the coiled tube 6 inside the heat exchange tube 3, it is discharged through the outlet 20, so that the coiled tube 6 is in full contact with the water flow.
[0043] In a further preferred embodiment of this utility model, propeller 17 and propeller 2 18 are respectively the output propeller and the input propeller of the water flow.
[0044] In this embodiment, the propeller 17 and propeller 2 18 are distributed on both sides inside the heat exchange tube 3, which can realize the circulation of water inside the heat exchange tube 3, so that it can fully contact the inside of the coiled tube 6.
[0045] In a further preferred embodiment of this utility model, heat exchange tube 3 and heat exchange tube 8 are both made of heat-insulating material, and heat exchange tube 3 and heat exchange tube 8 are of equal size.
[0046] The working principle of this utility model is as follows: Hot waste gas discharged from the distillation tower body 1 first enters the interior of heat exchange tube 3 for heating. Upon reaching heat exchange tube 8, the hot waste gas is cooled. At this point, cold water enters through inlet 19, allowing for more thorough cooling of the hot waste gas. The cooling water is preheated by the coiled tube 6 inside heat exchange tube 8, preventing direct contact between the cold water and the high-temperature coiled tube 6, thus reducing its lifespan. A significant amount of heat is absorbed and discharged into the top heat exchange tube 3, achieving efficient heat exchange. The temperature sensor 4 monitors the temperature of heat exchange tube 3. The internal water temperature of heat exchange tube 2 8 is detected. The high-pressure nozzle 16 is activated to spray the surface of the coiled tube 6 to prevent scale from forming on the surface of the coiled tube 6 and affecting the heat exchange effect. The motor 12 is activated to rotate the water storage pipe 14, which helps to uniformly spray the surface of the coiled tube 6 with high pressure. The water inlet 2 19 and water outlet 20 on the upper and lower sides are far away from the connecting pipe 3 9 so that the bottom water flow can fully flow through the coiled tube 6 and then be discharged into the interior of heat exchange tube 1 3 through the connecting pipe 3 9. After fully flowing through the coiled tube 6 inside the heat exchange tube 1 3, it is discharged through the water outlet 20, so that the coiled tube 6 is in full contact with the water flow.
[0047] The above are merely preferred embodiments of the present utility model and are not intended to limit the present utility model. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present utility model shall be included within the protection scope of the present utility model.
Claims
1. A waste heat recovery device for waste gas in the production of sodium methoxide, characterized in that, The distillation column body (1) includes two connecting pipes (2) fixedly connected to one side of the distillation column body (1). Heat exchange pipes (3) and (8) are fixedly connected to the other side of the two connecting pipes (2), respectively. A connecting pipe (9) is fixedly connected between the heat exchange pipes (3) and (8). A water valve (10) is fixedly connected inside the connecting pipe (9). A water inlet (19) is fixedly connected to one side of the heat exchange pipe (8), and a water outlet (20) is fixedly connected to one side of the heat exchange pipe (3). The interiors of both connecting pipes (2) are fixedly connected... A temperature sensor (4) is connected. The internal structures of heat exchange tube 1 (3) and heat exchange tube 2 (8) are the same. The internal structure of the upper and lower connecting tube 1 (2) is provided with a water inlet and outlet mechanism. The two ports of the upper and lower spiral tubes (6) away from the distillation column body (1) are fixedly connected to the connecting tube 2 (7). The two ends of the connecting tube 2 (7) are respectively connected to the upper and lower spiral tubes (6). The internal structure of heat exchange tube 1 (3) and heat exchange tube 2 (8) is provided with a cleaning mechanism. The two sides of heat exchange tube 1 (3) and heat exchange tube 2 (8) are respectively fixedly connected to propeller 1 (17) and propeller 2 (18).
2. The waste heat recovery device for sodium methoxide production process according to claim 1, characterized in that, The water inlet and outlet mechanism includes an inlet valve (5) and an outlet valve (11). The inlet valve (5) is fixedly connected inside the connecting pipe (2) on one side of the heat exchange tube (3), and the outlet valve (11) is fixedly connected inside the connecting pipe (2) on one side of the heat exchange tube (8).
3. The waste heat recovery device for sodium methoxide production process according to claim 2, characterized in that, The second connecting pipe (7) is fixed to the outside of the first heat exchange pipe (3) and the second heat exchange pipe (8). The first connecting pipe (2) and the coiled pipe (6) on the upper side are connected to the coiled pipe (6) and the first connecting pipe (2) on the lower side through the second connecting pipe (7).
4. The waste heat recovery device for sodium methoxide production process according to claim 1, characterized in that, The cleaning mechanism includes a motor (12), a rotating rod (13), a water storage pipe (14), a water inlet (15), and a high-pressure nozzle (16). The motor (12) is distributed on the upper and lower sides inside the heat exchange tube (3) and the heat exchange tube (8). The output end of the motor (12) is fixedly connected to the rotating rod (13), and the other end of the rotating rod (13) is fixedly connected to the water storage pipe (14). The high-pressure nozzle (16) is fixedly connected to the outside of the water storage pipe (14).
5. The waste heat recovery device for sodium methoxide production process according to claim 4, characterized in that, The number of high-pressure nozzles (16) is set to multiple, and the multiple high-pressure nozzles (16) are all facing the spiral tube (6). The water storage pipe (14) is fixedly connected to the side away from the motor (12) with a water inlet (15). The water inlet (15) is internally connected to the heat exchange tube (3) or the heat exchange tube (8).
6. The waste heat recovery device for sodium methoxide production process according to claim 5, characterized in that, The top of the water storage pipe (14) is far away from the inner wall of the heat exchange pipe (3), and both the high-pressure nozzle (16) and the water storage pipe (14) are far away from the coiled pipe (6). The motor (12) is fixedly connected to the heat exchange pipe (3) and the heat exchange pipe (8) respectively.
7. The waste heat recovery device for sodium methoxide production process according to claim 1, characterized in that, The first propeller (17) is located above one side plate inside the first heat exchange tube (3) and the second heat exchange tube (8), and the second propeller (18) is located below the other side plate inside the first heat exchange tube (3) and the second heat exchange tube (8).
8. The waste heat recovery device for sodium methoxide production process according to claim 5, characterized in that, The outlet (20) and inlet (19) are located below the heat exchange tube (3) and heat exchange tube (8) on the side away from the distillation tower body (1), respectively. The connecting pipe (9) is away from the outlet (20) and inlet (19), and the motor (12) and water storage pipe (14) are both away from the connecting pipe (9).
9. The waste heat recovery device for sodium methoxide production process according to claim 1, characterized in that, The first propeller (17) and the second propeller (18) are the output propeller and the input propeller of the water flow, respectively.
10. A waste heat recovery device for sodium methoxide production process according to claim 1, characterized in that, Both heat exchange tube 1 (3) and heat exchange tube 2 (8) are made of heat-insulating material, and the heat exchange tube 1 (3) and heat exchange tube 2 (8) are of the same size.