Connecting device and falling film crystallization system
By using a compensating component of the connecting device in the falling film crystallization system to absorb the thermal deformation stress of the pipeline, the problem of product circulation pump damage caused by thermal deformation was solved, the service life was extended and the separation effect was improved.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- Filing Date
- 2025-02-26
- Publication Date
- 2026-03-31
AI Technical Summary
In falling film crystallization systems, thermal deformation causes damage to the bearings and seals of the product circulation pump, reducing its service life, and existing technologies have failed to effectively solve this problem.
The system employs a connecting device, including a first pipe, a second pipe, and a compensation component. The compensation component absorbs the thermal deformation stress of the pipe through a bellows or a double-type free-type expansion joint, protecting the bearings and sealing system of the product's circulating pump.
It reduces the negative impact of thermal deformation on the product circulation pump, extends its service life, and improves separation purity and efficiency.
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Figure CN224056677U_ABST
Abstract
Description
Technical Field
[0001] This application relates to the field of chemical equipment technology, and in particular to a connecting device for a falling film crystallization system and a falling film crystallization system having the connecting device. Background Technology
[0002] In a falling film crystallization system, a product circulation pump is used to pump the circulating crystallized product from a collection container located below the crystallization tube to the top of the falling film crystallizer. Because the entire crystallization process involves multiple cooling and heating cycles, the pipes in the falling film crystallization system are subject to thermal deformation (i.e., thermal expansion and contraction) due to the temperature of the circulating crystallized product flowing within them. Such thermal deformation, especially near the suction pipe of the product circulation pump, can damage the bearings and seals of the product circulation pump, thereby reducing its service life.
[0003] Therefore, how to reduce or even eliminate the negative impact of pipeline thermal deformation on the product circulation pump without increasing the complexity and economy of the falling film crystallization system is a technical problem that urgently needs to be solved by those skilled in the art. Utility Model Content
[0004] Therefore, it is necessary to provide a connecting device and a falling film crystallization system having the connecting device to address the above problems.
[0005] According to one aspect of this application, a connecting device is provided for connecting a falling film crystallizer and a circulation pump. The connecting device includes: a first conduit connected to the falling film crystallizer; a second conduit connected to the circulation pump; and a compensation component connected between the first and second conduits. The compensation component deforms in response to thermal deformation of at least one of the first and second conduits.
[0006] In one embodiment, the first conduit includes: a horizontal pipe section, one end of which is connected to a falling film crystallizer; and a first bend section, one end of which is connected to the other end of the horizontal pipe section, the other end of which is connected to a compensation component.
[0007] In one embodiment, the second conduit includes: a second bend section, one end of which is connected to a compensation component; and a horizontal section, one end of which is connected to the other end of the second bend section, the other end of which is connected to a circulation pump.
[0008] In one embodiment, the horizontal tube segment is configured to have an angle with the horizontal direction, and in the vertical direction, the height of the end of the horizontal tube segment connected to the falling film crystallizer is greater than the height of the other end of the horizontal tube segment connected to the first bend segment.
[0009] In one embodiment, the first pipe further includes a transition section connecting the first bend section and the compensation component. The transition section has a first diameter and a second diameter that are different from each other. One end of the transition section with the first diameter is connected to the first bend section, and the other end of the transition section with the second diameter is connected to the compensation component.
[0010] In one embodiment, the transition section includes: a first connecting portion having a first diameter and fixedly connected to a first bend section; a second connecting portion having a second diameter and fixedly connected to a compensation component; and a tapered section connected between the first connecting portion and the second connecting portion.
[0011] In one embodiment, the compensation component includes at least one bellows, wherein the axial extension direction of the bellows is set such that the angle between the axial extension direction and the vertical direction is no greater than 5°.
[0012] In one embodiment, the compensation component includes two bellows, each of which has an axial extension direction such that the angle between its axial extension direction and the vertical direction is no greater than 5°, and the two bellows are connected in series.
[0013] In one embodiment, the compensation component is a compound free-type expansion joint.
[0014] According to another aspect of this application, a falling film crystallization system is provided, comprising: a falling film crystallizer; a circulation pump; and a connecting device as described in the foregoing embodiments, one end of the connecting device being fixedly connected to the falling film crystallizer, and the other end of the connecting device being fixedly connected to the circulation pump. Attached Figure Description
[0015] The accompanying drawings, which form part of this application, are used to provide a further understanding of this application. The illustrative embodiments of this application and their descriptions are used to explain this application and do not constitute an undue limitation of this application.
[0016] To more clearly illustrate the technical solutions in the embodiments of this application, the accompanying drawings used in the description of the embodiments will be briefly introduced below. Obviously, the accompanying drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0017] Furthermore, the accompanying drawings are not drawn to a 1:1 scale, and the relative dimensions of the various components are shown as examples only and not necessarily to scale. In the accompanying drawings:
[0018] Figure 1 This is a schematic diagram of the structure of a connection device according to an embodiment of this application;
[0019] Figure 2This is a schematic diagram of the structure of a connection device according to another embodiment of this application;
[0020] Figure 3 This is a schematic diagram of a falling film crystallization system according to an embodiment of this application. Detailed Implementation
[0021] To facilitate understanding of the present invention, a more complete description will be given below with reference to the accompanying drawings. Preferred embodiments of the invention are shown in the drawings. However, the invention can be implemented in many different forms and is not limited to the embodiments described herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete.
[0022] It should be noted that when a component is considered to be "connected" to another component, it can be directly connected to and integrated with the other component, or there may be an intervening component present. The terms "mounted," "one end," "the other end," and similar expressions used in this document are for illustrative purposes only.
[0023] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains. The terminology used herein in the description of the invention is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. The term "and / or" as used herein includes any and all combinations of one or more of the associated listed items.
[0024] Please refer to the above. Figure 1 and Figure 3 According to an embodiment of this application, a connecting device 10 is provided for connecting a falling film crystallizer 100 and a product circulation pump 600 in a falling film crystallization system 1, so as to pump the circulated crystallized product to the top of the falling film crystallizer 100.
[0025] exist Figure 1In the illustrated embodiment, the connecting device 10 includes a first conduit 300, a second conduit 500, and a compensating member 400. The first conduit 300 is connected to the outlet 101 at the bottom of the falling film crystallizer 100, the second conduit 500 is connected to the product circulation pump 600, and the compensating member 400 connects the first conduit 300 and the second conduit 500. When the first conduit 300 and the second conduit 500 undergo thermal deformation, the compensating member 400 absorbs the stress generated by the thermal deformation of the conduits (e.g., the first conduit 300, the second conduit 500, etc.) by deforming. Optionally, the compensating member 400 is configured to deform in response to external forces in the axial, lateral, and angular directions. For example, in the axial direction, the compensating member 400 can be stretched or compressed in response to external forces; in the lateral direction, the compensating member 400 can be tilted or bent in response to external forces; and in the angular direction, the compensating member 400 can be torsional in response to external forces.
[0026] refer to Figure 1 The first conduit 300 includes an outlet section 301 connected to the outlet 101 at the bottom of the falling film crystallizer 100. The second conduit 500 is connected to the product circulation pump 600. Optionally, the second conduit 500 is connected to the suction conduit (not shown) of the product circulation pump 600. A compensation component 400 is connected between the first conduit 300 and the second conduit 500. During operation of the falling film crystallization system 1, the circulated crystallized product flows out from the outlet 101 of the falling film crystallizer 100, and then flows through the first conduit 300, the compensation component 400, and the second conduit 500 to the product circulation pump 600. Under the action of the product circulation pump 600, the circulated crystallized product is pumped to the top of the falling film crystallizer 100, thereby achieving the circulatory flow of the circulated crystallized product.
[0027] It will be understood by those skilled in the art that when the falling film crystallization system 1 is in operation, the circulating crystallized product flowing in the first pipe 300 and the second pipe 500 is in a fluid state, and the temperature of this fluid is very close to the freezing point (also known as the freezing point) of the circulating crystallized product. Therefore, the first pipe 300 and the second pipe 500 will undergo significant deformation due to the temperature of the fluid. Such deformation includes, but is not limited to, changes in pipe shape (e.g., length, diameter, etc.) and the relative position of the pipes (e.g., the angle of the pipe relative to the horizontal or vertical direction, etc.). In this application, the term "vertical direction" refers to the direction of gravity, and the term "horizontal direction" refers to the direction perpendicular to the "vertical direction," such as... Figure 1 As shown in the diagram, "vertical direction" is represented by the vertical direction V, and "horizontal direction" is represented by the horizontal direction H.
[0028] exist Figure 1In the illustrated embodiment, the compensation component 400 is fixedly connected to the first pipe 300 and the second pipe 500, and can deform itself to accommodate the thermal deformation of the first pipe 300 and the second pipe 500. Specifically, the compensation component 400 includes at least one bellows 420. The deformation of the bellows 420 itself allows for changes in its shape and relative position. For example, when the first pipe 300 and the second pipe 500 (at least one of them) undergo thermal deformation, stress is generated in the first pipe 300, the second pipe 500, and the components connected to them. This stress acts on the various components and their connection points over a long period of time, such as at the connection point between the second pipe 500 and the product circulation pump, which can cause damage to the bearings and seals of the product circulation pump, thereby reducing the service life of the product circulation pump. By incorporating the bellows 420, when the first pipe 300 and the second pipe 500 experience stress due to thermal deformation, the bellows 420 can adaptively deform to absorb the stress generated by the thermal deformation of the first pipe 300 and the second pipe 500. This eliminates the negative impact of the stress caused by thermal deformation on the product circulation pump, protects the bearings and sealing system of the product circulation pump, and improves the service life of the product circulation pump. Those skilled in the art will understand that the thermal deformation of the first pipe 300 and the second pipe 500 refers to material deformation caused by temperature changes. This deformation can be arbitrary, and the results of this deformation include, but are not limited to, changes in the axial length and radial dimensions of the pipes, changes in the angle between the axial extension of the pipes relative to the vertical direction V and / or the horizontal direction H, pipe torsion, and changes in the relative positions of different pipes.
[0029] Optionally, in some embodiments, reference is made to Figure 2 The compensation component 400 may be, for example, a universal corrugated bellow expansion joint, which includes, for example, two bellows 420 connected in series. Optionally, an intermediate pipe 403 may be provided between the two bellows 420. Figure 2 In the illustrated embodiment, the compensation component 400 is capable of accommodating greater thermal deformation of the first conduit 300 and the second conduit 500. Optionally, the bellows 420 may be made of a metallic material, such as carbon steel, 304 stainless steel, 316 stainless steel, etc. Those skilled in the art can select a suitable material for the bellows 420 according to actual needs, such as the type of product with crystallization.
[0030] In some embodiments, for example, in Figure 1In the illustrated embodiment, the outflow section 301 is configured as a bend with a bending angle α of approximately 90°. The first conduit 300 also includes a horizontal pipe section 310 and a first bend section 320. One end of the outflow section 301 is fixedly connected to the outlet 101 at the bottom of the falling film crystallizer 100, and the other end of the outflow section 301 is fixedly connected to one end of the horizontal pipe section 310; the other end of the horizontal pipe section 310 is fixedly connected to one end of the first bend section 320; the other end of the first bend section 320 is fixedly connected to the compensation component 400. Figure 1 In the illustrated embodiment, the horizontal pipe section 310 extends in a generally horizontal direction, and the bending angle β of the first bend section 320 is approximately 90°. The second pipe 500 includes a second bend section 520 and a horizontal section 510. One end of the second bend section 520 is fixedly connected to the compensation member 400; the other end of the second bend section 520 is fixedly connected to one end of the horizontal section 510; the bending angle γ of the second bend section 520 is approximately 90°; the other end of the horizontal section 510 is fixedly connected to the product circulation pump 600 (reference). Figure 3 It will be understood by those skilled in the art that, in Figure 1 In the illustrated embodiment, the bending angles α, β, and γ are set to approximately 90°. This is merely exemplary, and those skilled in the art can select other suitable bending angle values according to actual needs.
[0031] exist Figure 1 In the illustrated embodiment, specifically, the compensation component 400 is arranged along the vertical direction V. More specifically, the axial extension direction of the bellows 420 is set to have an angle with the vertical direction of no more than 5°. Preferably, the axial extension direction of the bellows 420 is set along the vertical direction V. In embodiments with multiple bellows 420, the extension directions of the multiple bellows 420 are all set along the vertical direction V, and the multiple bellows 420 are connected in series in the vertical direction V. Optionally, for example, in Figure 2 In the illustrated embodiment, two adjacent bellows 420 are fixedly connected by an intermediate pipe 403. Those skilled in the art will understand that setting the extension direction of the compensation component 400 along the vertical direction V is to maximize its dischargeability. Specifically, by setting the extension direction of the compensation component 400 along the vertical direction V, in addition to the pressure provided by the product circulation pump, the gravity of the circulated crystallized product itself can also cause the circulated crystallized product to flow out of the compensation component 400, minimizing the amount of circulated crystallized product remaining in the bellows 420. In this way, the residue of circulated crystallized product in the compensation component 400 can be minimized with the use of a minimum pipe length, thereby reducing the mixing of different circulated crystallized product segments and improving separation purity and efficiency.
[0032] Continue to refer to Figure 1A supporting skirt 200 is provided below the falling film crystallizer 100, and a first pipe 300 extends from the side wall of the supporting skirt 200. Optionally, in Figure 1 In the illustrated embodiment, the horizontal pipe section 310 of the first pipe 300 is arranged along a generally horizontal direction H. Optionally, in Figure 2 In the illustrated embodiment, the horizontal pipe section 310 of the first pipe 300 has a certain angle with the horizontal direction H, that is, the horizontal pipe section 310 of the first pipe 300 is inclined relative to the horizontal direction H. Preferably, the horizontal pipe section 310 is configured such that the angle δ between the horizontal pipe section 310 and the horizontal direction H is approximately 10°, and in the vertical direction V, the end of the horizontal pipe section 310 connected to the outflow section 301 is higher than the end of the horizontal pipe section 310 connected to the first bend section 320. By inclining the horizontal pipe section 310, the product of the circulating crystallization can continuously flow out of the falling film crystallizer 100 under its own gravity, so that even when the product circulation pump 600 is not running, the product of the circulating crystallization can still continuously flow out of the falling film crystallizer 100. Furthermore, by arranging the compensation component 400 in a generally vertical direction V (i.e., the direction of gravity), the compensation component 400 exhibits minimal resistance to the circulating crystallized product. This maximizes the flow capacity of the circulating crystallized product within the compensation component 400, thereby minimizing the residual amount of the circulating crystallized product in the compensation component 400. This reduces or even eliminates the mixing of products from different product segments, maximizing separation purity and efficiency. Additionally, arranging the compensation component 400 in a generally vertical direction V also minimizes the deformation of the compensation component 400 due to the gravity of the circulating crystallized product. This ensures that the deformation capacity of the compensation component 400 is used as much as possible to accommodate (compensate for) the thermal deformation of the first pipe 300 and the second pipe 500.
[0033] exist Figure 1In the illustrated embodiment, the connecting device 10 is configured to be approximately Z-shaped, meaning that the horizontal section 510 of the second pipe 500 is lower in height in the vertical direction V than the horizontal pipe section 310. Therefore, the product from the circulating crystallization process can continuously flow out of the falling film crystallizer 100 under its own gravity. Even when the product circulation pump 600 is not running, the product from the circulating crystallization process can still continuously flow out of the falling film crystallizer 100. Optionally, the connecting device 10 can also adopt other shapes, such as S-shaped, M-shaped, etc. Those skilled in the art can select appropriate positional relationships for the first pipe 300, the second pipe 500, and the compensation component 400 according to actual needs. Optionally, the outflow section 301, the first bend section 320, and the second bend section 520 both adopt an arc-shaped structure. When the first pipe 300 and the second pipe 500 deform, stress is usually concentrated at the corners (e.g., the outlet section 301, the first bend section 320, and the second bend section 520). By setting the outlet section 301, the first bend section 320, and the second bend section 520 as arc-shaped structures, the stress can be dispersed as much as possible, avoiding stress concentration and reducing the risk of fatigue fracture of the connecting device 10. Optionally, the outlet section 301, the first bend section 320, and the second bend section 520 can also adopt other bend structures, such as right-angle structures, etc., which are not limited in this application.
[0034] In some embodiments, the connecting device 10 is also equipped with detection instruments, such as a flow meter 370 and a temperature meter 360, to monitor the temperature and flow rate of the liquid in real time, thereby better controlling the process. Figure 1 In the illustrated embodiment, the detection instrument is mounted on the horizontal pipe section 310. Optionally, those skilled in the art can configure the type, quantity, and location of the detection instrument according to actual needs.
[0035] In some embodiments, the first conduit 300, the second conduit 500, and the compensating member 400 may have different diameters. For example, the diameter of the first bend section 320 is slightly larger than the diameter of the compensating member 400. In such an embodiment, the first conduit 300 further includes a transition section 330 connected between the first bend section 320 and the compensating member 400. Specifically, the transition section 330 has a first diameter and a second diameter that are different from each other in the vertical direction V. The end of the transition section 330 with the first diameter is connected to the first bend section 320, and the end of the transition section 330 with the second diameter is connected to the compensating member 400. Optionally, the transition section 330 has a decreasing or gradually increasing diameter in the vertical direction V. The end of the transition section 330 with the larger diameter is fixedly connected to the first bend section 320, and the end of the transition section 330 with the smaller diameter is fixedly connected to the compensating member 400.
[0036] Optionally, the transition section 330 includes a first connecting portion 331, a second connecting portion 333, and a tapered tube portion 332.
[0037] The first connecting part 331 is generally tubular and has a first diameter, for fixed connection with the first bent pipe section 320.
[0038] The second connecting portion 333 is generally tubular and has a second diameter for fixed connection with the compensation component 400. The tapered tube portion 332, for example, has a diameter that tapers in the vertical direction V and is fixedly connected between the first connecting portion 331 and the second connecting portion 333. The transition section 330 can be a one-piece molded structure; for example, the transition section 330 can be formed by welding or stamping. One-piece molded structures have higher structural strength and fatigue resistance, extending the service life of the transition section 330. Those skilled in the art will understand that when the connecting device 10 deforms, the location on the pipe where the diameter changes, such as the transition section 330, is a stress concentration point. Using a one-piece molded structure for the transition section 330 can improve fatigue resistance, further extend the service life of the transition section 330, and reduce the risk of leakage in the connecting device 10.
[0039] In some embodiments, the compensation component 400 further includes a connecting flange for secure connection to the first pipe 300 and the second pipe 500. Figure 1 In the illustrated embodiment, the compensation component 400, such as the bellows 420, is fixedly connected to the first pipe 300 and the second pipe 500 via a first connecting flange 421 and a second connecting flange 422, respectively. The flange connection offers high connection reliability and sealing performance, and is easy to assemble and disassemble. Therefore, on the one hand, the reliability and sealing performance of the compensation component 400 connection are ensured, and on the other hand, the replacement of the compensation component 400 is facilitated.
[0040] Optionally, the first connecting flange 421 and the second connecting flange 422 are provided with sealing rings (not shown). During installation, the sealing rings are compressed, causing elastic deformation and improving their sealing effect. It should be noted that the term "sealing ring" used in this application refers to any sealing ring known in the art that can improve the sealing performance of pipe connections in the falling film crystallization system 1, such as gaskets (O-rings). This application does not limit the actual type of sealing ring. Optionally, the horizontal pipe section 310 and the outlet section 301 can also be fixedly connected to each other via the third connecting flange 311 and the sealing ring. Optionally, the horizontal section 510 of the second pipe 500 and the suction pipe of the product circulation pump 600 can also be fixedly connected to each other via the fourth connecting flange 511 and the sealing ring.
[0041] This application also provides a falling film crystallization system 1, see [link to previous document]. Figure 3The falling film crystallization system 1 includes a falling film crystallizer 100, a product circulation pump 600, and a connecting device 10 as described in the previous embodiment. One end of the connecting device 10 is connected to the outlet 101 of the falling film crystallizer 100, and the other end of the connecting device 10 is connected to the inlet of the product circulation pump 600. A compensation component 400 is provided in the connecting device 10. During the operation of the falling film crystallization system 1, the compensation component 400 can deform to adapt to (compensate for) the thermal deformation of the connecting device 10, ensuring that the thermal deformation of the connecting device 10 does not affect the product circulation pump 600. This reduces the risk of damage to the bearings and seals of the product circulation pump 600 and extends its service life.
[0042] In one embodiment, the falling film crystallization system 1 further includes a circulation pipe 700, which connects the inlet of the falling film crystallizer 100 and the outlet of the product circulation pump 600. The crystallized product is returned to the falling film crystallizer 100 under the drive of the product circulation pump 600.
[0043] In one embodiment, the falling film crystallization system 1 further includes a discharge pipe 550 for discharging intermediate products. Optionally, the discharge pipe 550 is disposed within the second pipe 500. Optionally, a flow valve may be provided in the discharge pipe 550 for opening and closing the discharge pipe 550 and controlling the discharge amount of intermediate products.
[0044] The technical features of the above embodiments can be combined in any way. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.
[0045] The above embodiments merely illustrate several implementation methods of this application, and while the descriptions are relatively specific and detailed, they should not be construed as limiting the scope of the patent application. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of this application, and these all fall within the protection scope of this application. Therefore, the protection scope of this patent application should be determined by the appended claims.
Claims
1. A connection device (10) for connecting a falling film crystallizer (100) and a circulation pump (600), characterized in that, The connecting device (10) comprises: a first pipeline (300) connected to the falling film crystallizer (100); a second pipeline (500) connected to the circulating pump (600); and a compensation component (400) connected between the first pipeline (300) and the second pipeline (500), wherein the compensation component (400) is deformed in response to thermal deformation of at least one of the first pipeline (300) and the second pipeline (500).
2. The connection device (10) according to claim 1, characterized in that The first pipeline (300) comprises: a horizontal pipe section (310) having one end connected to the falling film crystallizer (100); and a first elbow pipe section (320) having one end connected to the other end of the horizontal pipe section (310) and the other end connected to the compensation component (400).
3. The connection device (10) according to claim 2, characterized in that The second pipeline (500) comprises: a second elbow pipe section (520) having one end connected to the compensation component (400); and a horizontal section (510) having one end connected to the other end of the second elbow pipe section (520) and the other end connected to the circulating pump (600).
4. The connecting device (10) according to claim 2, wherein the horizontal pipe section (310) is arranged to have an included angle with the horizontal direction, and in the vertical direction, the height of the end of the horizontal pipe section (310) connected to the falling film crystallizer (100) is greater than the height of the other end of the horizontal pipe section (310) connected to the first elbow pipe section (320).
5. The connection device (10) according to claim 2, characterized in that The first pipeline (300) further comprises a transition section (330) connecting the first elbow pipe section (320) and the compensation component (400), the transition section (330) having a first diameter and a second diameter different from each other, the transition section (330) having one end with the first diameter connected to the first elbow pipe section (320), and the transition section (330) having one end with the second diameter connected to the compensation component (400).
6. The connection device (10) according to claim 5, characterized in that The transition section (330) comprises: a first connecting portion (331) having the first diameter and fixedly connected with the first elbow pipe section (320); a second connecting portion (333) having the second diameter and fixedly connected with the compensation component (400); and a tapered pipe portion (332) connected between the first connecting portion (331) and the second connecting portion (333).
7. The connection device (10) according to any one of claims 1 to 6, characterized in that The compensation component (400) comprises at least one bellows (420) arranged to have an axial extension direction with an included angle with the vertical direction not greater than 5°.
8. The connection device (10) according to claim 7, characterized in that The compensation component (400) comprises two bellows (420), the axial extension direction of each of the two bellows (420) is arranged to be an included angle of the axial extension direction and a vertical direction not greater than 5°, and the two bellows (420) are arranged in series.
9. The connection device (10) according to any one of claims 1 to 6, characterized in that The compensation component (400) is a complex free-type expansion joint.
10. A falling film crystallization system characterized by, Comprise: a falling film crystallizer (100); a circulating pump (600); and The connecting device (10) according to any one of claims 1 to 9, one end of the connecting device (10) is fixedly connected to the falling film crystallizer (100), and the other end of the connecting device (10) is fixedly connected to the circulating pump (600).