GAX cycle-based cross-absorption / reabsorption heat pump unit

Abstract

This invention provides a cross-type absorption / reabsorption heat pump device based on a GAX cycle, comprising a low-pressure generator, a high-pressure absorber, and a high-pressure generator. The low-pressure absorber includes a connected cooling absorber and a GAX absorber, and the high-pressure generator includes a connected GAX generator and an external heating generator. The outlet of the cooling absorber and the outlet of the GAX generator are both connected to the inlet of the high-pressure absorber, and the outlet of the high-pressure absorber is connected to the inlet of the low-pressure generator. The outlets of the low-pressure generator and the cooling absorber are both connected to the inlet of a heat exchange pipeline, which passes through the cooling absorber. The outlet of the heat exchange pipeline is connected to the inlet of the GAX generator, and the outlet of the external heating generator is connected to the GAX absorber. The technical solution provided in this application can solve the problem of limited COP improvement in related technologies of absorption heat pumps.

Description

Technical Field

[0001] This invention relates to the field of heat pump technology, and more specifically, to a cross-absorption / reabsorption heat pump device based on the GAX cycle. Background Technology

[0002] Rapid global economic development has led to a dramatic increase in primary energy consumption, resulting in the depletion of fossil fuel reserves and negative environmental impacts such as greenhouse gas emissions and water acidification. However, over 70% of global energy consumption is provided by power plants burning fossil fuels, releasing large amounts of greenhouse gases into the atmosphere. Furthermore, approximately 72% of global energy consumption is emitted as waste heat, which not only leads to low energy efficiency but also causes thermal pollution, threatening the balance of ecosystems and human health. Therefore, developing efficient energy recovery and reuse technologies is crucial for the development of modern society.

[0003] Among related technologies, absorption heat pumps, as a type of refrigeration and heating device driven by a low-grade heat source, have shown great application potential in the field of industrial waste heat recovery. Currently, technologies to improve heat pump performance mainly focus on increasing heat transfer efficiency and optimizing system circulation processes, such as system mode innovation, the use of nanofluids, and the adoption of membrane absorbers and generators with high surface area-to-volume ratios.

[0004] However, absorption heat pumps in related technologies still have the problem of limited improvement in COP (coefficient of performance), and there is even a risk of performance reduction when the heat source temperature is too high. Summary of the Invention

[0005] This invention provides a cross-absorption / reabsorption heat pump device based on the GAX cycle to solve the problem of limited COP improvement in absorption heat pumps in related technologies.

[0006] This invention provides a cross-absorption / reabsorption heat pump device based on a GAX cycle. The device includes a low-pressure generator, a high-pressure absorber, and a high-pressure generator. The low-pressure absorber includes a connected cooling absorber and a GAX absorber. The high-pressure generator includes a connected GAX generator and an external heating generator. The outlet of the cooling absorber and the outlet of the GAX generator are both connected to the inlet of the high-pressure absorber. The outlet of the high-pressure absorber is connected to the inlet of the low-pressure generator. The outlets of the low-pressure generator and the cooling absorber are both connected to the inlet of a heat exchange pipeline. The heat exchange pipeline passes through the cooling absorber, and its outlet is connected to the inlet of the GAX generator. The outlet of the external heating generator is connected to the GAX absorber.

[0007] Furthermore, the cross-absorption / reabsorption heat pump device based on the GAX cycle also includes a main connecting pipe, a first connecting branch pipe, and a second connecting branch pipe. The outlet of the cooling absorber is connected to the inlet of the main connecting pipe, the inlets of the first and second connecting branch pipes are respectively connected to the outlet of the main connecting pipe, the outlet of the first connecting branch pipe is connected to the inlet of the high-pressure absorber, and the outlet of the second connecting branch pipe is connected to the inlet of the heat exchange pipeline.

[0008] Furthermore, a first diversion component is provided on the first connecting branch pipe, and a second diversion component is provided on the second connecting branch pipe.

[0009] Furthermore, a first solution pump is installed on the main connecting pipe.

[0010] Furthermore, the cross-absorption / reabsorption heat pump device based on the GAX cycle also includes a control unit, which is signal-connected to the first and second shunt components to control their operation.

[0011] Furthermore, the cooling absorber includes a water-cooled absorber and a solution-cooled absorber, which are connected in sequence. The outlet of the cooling absorber is located in the water-cooled absorber, and the heat exchange pipeline passes through the solution-cooled absorber.

[0012] Furthermore, the cross-absorption and reabsorption heat pump device based on the GAX cycle also includes a solution heat exchanger. The outlet of the high-pressure absorber is connected to the inlet of the low-pressure generator through a first pipeline, and the outlet of the low-pressure generator is connected to the inlet of the heat exchange pipeline through a second pipeline. Both the first pipeline and the second pipeline pass through the solution heat exchanger.

[0013] Furthermore, a first throttling valve is installed on the first pipeline, which is located between the solution heat exchanger and the low-pressure generator.

[0014] Furthermore, a second solution pump is installed on the second pipeline, which is located between the solution heat exchanger and the low-pressure generator.

[0015] Furthermore, the outlet of the external heating generator is connected to the GAX absorber via a third pipeline, on which a second throttle valve is installed.

[0016] The present invention provides a cross-type absorption-reabsorption heat pump device based on a GAX cycle, comprising a low-pressure generator, a high-pressure absorber, and a high-pressure generator. The low-pressure absorber includes a connected cooling absorber and a GAX absorber, while the high-pressure generator includes a connected GAX generator and an external heating generator. By replacing the evaporator and condenser in a conventional absorption heat pump cycle with a low-pressure generator and a high-pressure absorber, respectively, an absorption-reabsorption solution cycle is formed. The high-pressure generator is internally designed as a GAX generator and an external heating generator, and the low-pressure absorber is internally designed as a cooling absorber and a GAX absorber. This allows a portion of the absorbed heat to be provided as a driving heat source to the GAX generator, reducing the required heat source and effectively improving the system COP. Unlike conventional absorption heat pump cycles, the absorption and reabsorption processes of the low-pressure and high-pressure absorbers in this invention rely on a binary mixture (ammonia-water). Therefore, the high and low pressures are limited not only by the saturation temperature but also by the saturation concentration of the binary mixture. Under given operating conditions, the internal high pressure and low pressure can be adjusted by changing the internal solution concentration difference, and vice versa, thereby obtaining the system cycle COP under different operating conditions. Attached Figure Description

[0017] The accompanying drawings, which form part of this application, are used to provide a further understanding of the invention. The illustrative embodiments of the invention and their descriptions are used to explain the invention and do not constitute an undue limitation of the invention. In the drawings:

[0018] Figure 1 A schematic diagram of a cross-absorption / reabsorption heat pump device based on a GAX cycle provided according to an embodiment of the present invention is shown.

[0019] The above figures include the following reference numerals:

[0020] 10. Low-voltage generator;

[0021] 20. High-voltage absorber;

[0022] 30. Low-pressure absorber; 31. Cooling absorber; 311. Water-cooled absorber; 312. Solution-cooled absorber; 32. GAX absorber;

[0023] 40. High-voltage generator; 41. GAX generator; 42. External heating generator;

[0024] 50. Heat exchange piping;

[0025] 61. Main connecting pipe; 62. First connecting branch pipe; 63. Second connecting branch pipe; 64. First branch component; 65. Second branch component; 66. First solution pump;

[0026] 70. Solution heat exchanger; 71. First pipeline; 72. Second pipeline; 73. First throttle valve; 74. Second solution pump;

[0027] 81. Third pipeline; 82. Second throttle valve. Detailed Implementation

[0028] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. The following description of at least one exemplary embodiment is merely illustrative and is in no way intended to limit the present invention or its application or use. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without creative effort are within the scope of protection of the present invention.

[0029] like Figure 1 As shown, this embodiment of the invention provides a cross-absorption / reabsorption heat pump device based on a GAX cycle. This cross-absorption / reabsorption heat pump device includes a low-pressure generator 10, a high-pressure absorber 20, a low-pressure absorber 30, and a high-pressure generator 40. The low-pressure absorber includes a connected cooling absorber 31 and a GAX absorber 32. The high-pressure generator includes a connected GAX generator 41 and an external heating generator 42. The outlet of the cooling absorber 31 and the outlet of the GAX generator 41 are both connected to the inlet of the high-pressure absorber 20. The outlet of the high-pressure absorber 20 is connected to the inlet of the low-pressure generator 10. The outlet of the low-pressure generator 10 and the outlet of the cooling absorber 31 are both connected to the inlet of a heat exchange pipe 50. The heat exchange pipe 50 passes through the cooling absorber 31, and its outlet is connected to the inlet of the GAX generator 41. The outlet of the external heating generator 42 is connected to the GAX absorber 32.

[0030] This embodiment utilizes a cross-absorption / reabsorption heat pump device based on a GAX cycle. By replacing the evaporator and condenser in a traditional absorption heat pump cycle with a low-pressure generator 10 and a high-pressure absorber 20, respectively, an absorption-reabsorption solution cycle is formed. The high-pressure generator 40 is internally designed as a GAX generator 41 and an external heating generator 42, while the low-pressure absorber 30 is internally designed as a cooling absorber 31 and a GAX absorber 32. This allows a portion of the absorbed heat to be provided as a driving heat source to the GAX generator 41, reducing the required heat source and effectively improving the system COP. Unlike traditional absorption heat pump cycles, the absorption and reabsorption processes of the low-pressure and high-pressure absorbers in this embodiment rely on a binary mixture (ammonia-water). Therefore, the high and low pressures are limited not only by the saturation temperature but also by the saturation concentration of the binary mixture. Under given operating conditions, the internal high and low pressures can be adjusted by changing the internal solution concentration difference, and vice versa, thereby obtaining the system cycle COP under different operating conditions.

[0031] It should be noted that traditional absorption heat pumps have limited COP improvement when the heat source temperature is above 100°C. The cross-absorption and reabsorption heat pump device based on the GAX cycle provided in this embodiment can have a higher COP when the heat source temperature is above 100°C.

[0032] like Figure 1 As shown, the cross-absorption / reabsorption heat pump device based on the GAX cycle also includes a main connecting pipe 61, a first connecting branch pipe 62, and a second connecting branch pipe 63. The outlet of the cooling absorber 31 is connected to the inlet of the main connecting pipe 61. The inlets of the first connecting branch pipe 62 and the second connecting branch pipe 63 are respectively connected to the outlet of the main connecting pipe 61. The outlet of the first connecting branch pipe 62 is connected to the inlet of the high-pressure absorber 20, and the outlet of the second connecting branch pipe 63 is connected to the inlet of the heat exchange pipeline 50. The medium flowing out of the outlet of the cooling absorber 31 first enters the main connecting pipe 61, then flows through the first connecting branch pipe 62 to the high-pressure absorber 20, and then flows through the second connecting branch pipe 63 to the heat exchange pipeline 50, thus achieving the diversion of the medium in the main connecting pipe 61.

[0033] Specifically, a first diverter 64 is provided on the first connecting branch pipe 62, and a second diverter 65 is provided on the second connecting branch pipe 63. The flow rate of the first connecting branch pipe 62 can be controlled by the first diverter 64, and the flow rate of the second connecting branch pipe 63 can be controlled by the second diverter 65, thereby controlling the flow rate ratio of the first connecting branch pipe 62 and the second connecting branch pipe 63.

[0034] In this embodiment, both the first diverter 64 and the second diverter 65 are diverter valves.

[0035] In this embodiment, a first solution pump 66 is provided on the main connecting pipe 61. The first solution pump 66 provides the driving force for the flow of the medium flowing out of the outlet of the cooling absorber 31.

[0036] The cross-absorption / reabsorption heat pump device based on the GAX cycle also includes a control unit. The control unit is signal-connected to the first splitter 64 and the second splitter 65 respectively to control the operation of the first splitter 64 and the second splitter 65. Using the control unit to control the operation of the first splitter 64 and the second splitter 65 can improve the automation level of the device.

[0037] like Figure 1 As shown, in this embodiment, the cooling absorber 31 includes a water-cooled absorber 311 and a solution-cooled absorber 312. The water-cooled absorber 311, the solution-cooled absorber 312, and the GAX absorber 32 are connected sequentially. The outlet of the cooling absorber 31 is located at the water-cooled absorber 311, and the heat exchange pipeline 50 passes through the solution-cooled absorber 312. By using the water-cooled absorber 311 and the solution-cooled absorber 312 in combination, the heat exchange effect can be improved.

[0038] like Figure 1 As shown, in this embodiment, the cross-absorption / reabsorption heat pump device based on the GAX cycle further includes a solution heat exchanger 70. The outlet of the high-pressure absorber 20 is connected to the inlet of the low-pressure generator 10 via a first pipe 71, and the outlet of the low-pressure generator 10 is connected to the inlet of the heat exchange pipe 50 via a second pipe 72. Both the first pipe 71 and the second pipe 72 pass through the solution heat exchanger 70. A first throttle valve 73 is installed on the first pipe 71, located between the solution heat exchanger 70 and the low-pressure generator 10. A second solution pump 74 is installed on the second pipe 72, located between the solution heat exchanger 70 and the low-pressure generator 10.

[0039] The solution is cooled and throttled by the solution heat exchanger 70 and the first throttle valve 73. The solution at the outlet of the low-pressure generator 10 is heated and pressurized by the solution heat exchanger 70 and the second solution pump 74.

[0040] like Figure 1 As shown, in this embodiment, the outlet of the external heating generator 42 is connected to the GAX absorber 32 via a third pipe 81, and a second throttle valve 82 is installed on the third pipe 81. The dilute ammonia solution is sent to the low-pressure absorber 30 after being depressurized and throttled by the second throttle valve 82.

[0041] To facilitate understanding of the GAX cycle-based cross-absorption / reabsorption heat pump device provided in this embodiment, the following explanation is provided in conjunction with the solution circuit:

[0042] The heat pump unit consists of two solution circuits;

[0043] The saturated concentrated ammonia solution from the cooling absorber 31 is pressurized by the first solution pump 66 to form a high-pressure concentrated ammonia solution, which is then split into two streams of fluid with the same concentration but different flow rates.

[0044] The solution in one of the solution loops is fed into the high-pressure absorber 20 and mixed with the ammonia vapor at the outlet of the GAX generator 41 to carry out the absorption process, thereby forming a saturated solution at the outlet of the high-pressure absorber 20.

[0045] After being cooled and throttled by the solution heat exchanger 70 and the first throttle valve 73, the solution is sent into the low-pressure generator 10 to absorb heat from the air to produce a saturated dilute ammonia solution and steam.

[0046] The solution at the outlet of the low-pressure generator 10 is heated and pressurized by the solution heat exchanger 70 and the second solution pump 74, and then mixed with the solution at the outlet of the second diverter 65 before being sent to the solution cooling absorber 312 to recover part of the absorbed heat, and then sent to the GAX generator 41.

[0047] The solution in the GAX generator 41 absorbs heat from the GAX heat exchanger and the driving heat source to form a saturated dilute ammonia solution and ammonia vapor. The ammonia vapor is sent to the high-pressure absorber 20 for absorption, while the dilute ammonia solution is sent to the low-pressure absorber 30 after being depressurized and throttled by the second throttle valve 82. It then mixes with the steam at the outlet of the low-pressure generator 10 to complete the absorption process.

[0048] A throttling valve and a solution pump are installed in the circulation system to achieve the required working pressure and ensure stable operation of the circulation.

[0049] In this embodiment, the low-pressure generator 10 is provided with an air pipe, and the inlet and outlet of the air pipe are both located outside the low-pressure generator 10.

[0050] In other embodiments, the two solution loops can be designed to operate in parallel or alternate modes, thereby dynamically adjusting the flow distribution under different operating conditions, optimizing the concentration difference regulation of the solution, and further improving the system's COP. This approach requires an additional control system, but it can enhance the system's adaptability under complex load conditions.

[0051] Alternatively, novel absorber designs can be employed, such as improving the internal structure of the absorber and enhancing the heat exchange mechanism, to reduce efficiency losses caused by uneven flow or insufficient heat exchange during absorption. Modular absorber designs also allow the system to more flexibly adapt to different operating conditions.

[0052] The cross-absorption / reabsorption heat pump device based on the GAX cycle provided in this embodiment can expand its application range and increase heating temperature at low ambient temperatures. Under given operating conditions, by employing various internal heat recovery technologies, the heat pump device can operate at an ambient air temperature of -15.6°C.

[0053] It should be noted that the cross-absorption / reabsorption heat pump device based on the GAX cycle provided in this embodiment has the following beneficial effects:

[0054] 1) Reduced equipment components: Stable system operation can be achieved by adjusting the mass flow rate at the inlet of the high-pressure absorber 20, and the cross-solution mixing design eliminates the need for distillation, thus eliminating the need for a rectifier. In contrast, traditional heat pumps require a rectifier after the generator to ensure mass balance between the two.

[0055] 2) Larger venting range: By effectively utilizing the solution at the outlet of the low-pressure generator 10, the solution concentration at the outlet of the GAX generator 41 is increased, thereby increasing the venting range of the two solution cycles and improving the COP of the system.

[0056] 3) Improved economic and environmental benefits. Because this invention utilizes waste heat from flue gas as a driving heat source, it saves fuel costs, reduces pollutant emissions, and is conducive to energy conservation, emission reduction, and environmental sustainability.

[0057] 4) Lower operating pressure: By replacing the evaporator and condenser with a low-pressure generator and a high-pressure absorber, the solution concentration at the high-pressure absorber outlet is lower than that at the condenser outlet, resulting in lower operating pressure while maintaining a constant absorber outlet temperature. The system utilizes a GAX cycle, offering a more significant advantage under higher driving heat sources.

[0058] 5) Higher mass transfer potential: In traditional absorption-reabsorption cycles, the solution at the low-pressure generator outlet is pressurized by a pump and heat-exchanged by a solution heat exchanger before being directly sent to the high-pressure absorber to mix with steam. In the solution cycle of this invention, the concentration of the solution sent to the high-pressure absorber is lower, which is more conducive to the heat and mass transfer process.

[0059] It should be noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to limit the exemplary embodiments according to this application. As used herein, the singular form is intended to include the plural form as well, unless the context clearly indicates otherwise. Furthermore, it should be understood that when the terms "comprising" and / or "including" are used in this specification, they indicate the presence of features, steps, operations, devices, components, and / or combinations thereof.

[0060] Unless otherwise specifically stated, the relative arrangement, numerical expressions, and values ​​of the components and steps described in these embodiments do not limit the scope of the invention. It should also be understood that, for ease of description, the dimensions of the various parts shown in the drawings are not drawn to actual scale. Techniques, methods, and devices known to those skilled in the art may not be discussed in detail, but where appropriate, such techniques, methods, and devices should be considered part of the specification. In all examples shown and discussed herein, any specific values ​​should be interpreted as exemplary only and not as limitations. Therefore, other examples of exemplary embodiments may have different values. It should be noted that similar reference numerals and letters in the following drawings denote similar items; therefore, once an item is defined in one drawing, it need not be further discussed in subsequent drawings.

[0061] In the description of this invention, it should be understood that the orientation or positional relationship indicated by directional terms such as "front, back, up, down, left, right", "horizontal, vertical, horizontal" and "top, bottom" is generally based on the orientation or positional relationship shown in the accompanying drawings, and is only for the convenience of describing this invention and simplifying the description. Unless otherwise stated, these directional terms do not indicate or imply that the device or element referred to must have a specific orientation or be constructed and operated in a specific orientation, and therefore should not be construed as a limitation on the scope of protection of this invention; the directional terms "inner" and "outer" refer to the inner and outer contours relative to the outline of each component itself.

[0062] For ease of description, spatial relative terms such as "above," "on top of," "on the upper surface of," "above," etc., are used herein to describe the spatial positional relationship of a device or feature as shown in the figures to other devices or features. It should be understood that spatial relative terms are intended to encompass different orientations in use or operation beyond the orientation of the device as described in the figures. For example, if the device in the figures were inverted, a device described as "above" or "on top of" other devices or structures would subsequently be positioned as "below" or "under" other devices or structures. Thus, the exemplary term "above" can include both "above" and "below." The device may also be positioned in other different ways (rotated 90 degrees or in other orientations), and the spatial relative descriptions used herein will be interpreted accordingly.

[0063] Furthermore, it should be noted that the use of terms such as "first" and "second" to define components is merely for the purpose of distinguishing the corresponding components. Unless otherwise stated, the above terms have no special meaning and therefore should not be construed as limiting the scope of protection of this invention.

[0064] The above description is merely a preferred embodiment of the present invention and is not intended to limit the invention. Various modifications and variations can be made to the present invention by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

Claims

1. A cross-absorption / reabsorption heat pump device based on the GAX cycle, characterized in that, The cross-absorption and reabsorption heat pump device based on the GAX cycle includes a low-pressure generator (10), a high-pressure absorber (20), a low-pressure absorber (30), and a high-pressure generator (40). The low-pressure absorber includes a connected cooling absorber (31) and a GAX absorber (32), and the high-pressure generator includes a connected GAX generator (41) and an external heating generator (42). The outlet of the cooling absorber (31) and the outlet of the GAX generator (41) are both connected to the inlet of the high-pressure absorber (20). The outlet of the high-pressure absorber (20) is connected to the inlet of the low-pressure generator (10). The outlet of the low-pressure generator (10) and the outlet of the cooling absorber (31) are both connected to the inlet of the heat exchange pipeline (50). The heat exchange pipeline (50) passes through the cooling absorber (31). The outlet of the heat exchange pipeline (50) is connected to the inlet of the GAX generator (41). The outlet of the external heating generator (42) is connected to the GAX absorber (32). The cross-absorption and reabsorption heat pump device based on the GAX cycle further includes a main connecting pipe (61), a first connecting branch pipe (62), and a second connecting branch pipe (63). The outlet of the cooling absorber (31) is connected to the inlet of the main connecting pipe (61). The inlets of the first connecting branch pipe (62) and the second connecting branch pipe (63) are respectively connected to the outlet of the main connecting pipe (61). The outlet of the first connecting branch pipe (62) is connected to the inlet of the high-pressure absorber (20). The outlet of the second connecting branch pipe (63) is connected to the inlet of the heat exchange pipeline (50). The cooling absorber (31) includes a water-cooled absorber (311) and a solution-cooled absorber (312). The water-cooled absorber (311), the solution-cooled absorber (312) and the GAX absorber (32) are connected in sequence. The outlet of the cooling absorber (31) is located at the water-cooled absorber (311), and the heat exchange pipeline (50) passes through the solution-cooled absorber (312).

2. The cross-absorption / reabsorption heat pump device based on the GAX cycle according to claim 1, characterized in that, The first connecting branch pipe (62) is provided with a first diverter (64), and the second connecting branch pipe (63) is provided with a second diverter (65).

3. The cross-absorption / reabsorption heat pump device based on the GAX cycle according to claim 1, characterized in that, The main connecting pipe (61) is equipped with a first solution pump (66).

4. The cross-absorption / reabsorption heat pump device based on the GAX cycle according to claim 2, characterized in that, The cross-absorption and reabsorption heat pump device based on the GAX cycle also includes a control unit, which is signal-connected to the first shunt (64) and the second shunt (65) respectively to control the operation of the first shunt (64) and the second shunt (65).

5. The cross-absorption / reabsorption heat pump device based on the GAX cycle according to claim 1, characterized in that, The cross-absorption and reabsorption heat pump device based on the GAX cycle also includes a solution heat exchanger (70). The outlet of the high-pressure absorber (20) is connected to the inlet of the low-pressure generator (10) through a first pipe (71). The outlet of the low-pressure generator (10) is connected to the inlet of the heat exchange pipe (50) through a second pipe (72). Both the first pipe (71) and the second pipe (72) pass through the solution heat exchanger (70).

6. The cross-absorption / reabsorption heat pump device based on the GAX cycle according to claim 5, characterized in that, A first throttle valve (73) is provided on the first pipeline (71), and the first throttle valve (73) is located between the solution heat exchanger (70) and the low-pressure generator (10).

7. The cross-absorption / reabsorption heat pump device based on the GAX cycle according to claim 5, characterized in that, A second solution pump (74) is provided on the second pipeline (72), and the second solution pump (74) is located between the solution heat exchanger (70) and the low-pressure generator (10).

8. The cross-absorption / reabsorption heat pump device based on the GAX cycle according to claim 1, characterized in that, The outlet of the external heating generator (42) is connected to the GAX absorber (32) through a third pipe (81), and a second throttle valve (82) is provided on the third pipe (81).

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