A water cooling screen parameter determination method based on radiation heat transfer angle coefficient

Abstract

The application discloses a water-cooled screen parameter determination method based on a radiation heat transfer angular coefficient and belongs to the technical field of water-cooled screen design. The method comprises the following steps: determining an angular coefficient of a current single crystal silicon rod cylindrical surface to a water-cooled screen inner surface; correcting the angular coefficient according to structural parameters of the single crystal silicon rod and the water-cooled screen to obtain a radiation heat transfer angular coefficient of the single crystal silicon rod to the water-cooled screen; and determining parameters of the water-cooled screen according to the radiation heat transfer angular coefficient. The application can obtain the radiation heat transfer angular coefficient between water-cooled screens with different shapes and the single crystal silicon rod, and further provides a scientific basis for selection and design of the water-cooled screen.

Description

Technical Field

[0001] This invention relates to the field of water-cooled screen design technology, and more specifically to a method for determining the parameters of a water-cooled screen based on the radiative heat transfer angle coefficient. Background Technology

[0002] In the field of solar photovoltaic power generation, monocrystalline silicon solar cells are widely used due to their advantages such as high efficiency, low degradation, long life and good thermal stability. However, the production cost of monocrystalline silicon cells is generally higher than that of polycrystalline silicon. In order to reduce costs and increase efficiency, monocrystalline silicon is gradually developing towards larger sizes.

[0003] However, large-sized crystal rods release a large amount of latent heat, which leads to increased thermal resistance, larger radial temperature difference, increased solid-liquid interface deformation, and affects the distribution of thermal stress, thereby increasing the risk of crystal metamorphic growth.

[0004] Currently, water-cooled screens are widely used in industrial Czochralski single crystal furnaces to enhance crystal heat transfer. However, the specifications of water-cooled screens are mostly selected based on experience, which cannot guarantee that the water-cooled screen has the optimal radiative heat transfer coefficient or select the optimal water-cooled screen by numerical simulation of the influence of different shapes of water-cooled screens on crystal growth, thus spending a lot of experimental time and material consumption.

[0005] To address the above problems, this invention proposes a method for determining the parameters of a water-cooled screen based on the radiative heat transfer angle coefficient. Summary of the Invention

[0006] In view of this, the present invention provides a method for determining the parameters of a water-cooled screen based on the radiative heat transfer angle coefficient, which reduces the blindness in the design or selection of water-cooled screens and the dependence on production experience.

[0007] To achieve the above objectives, the present invention adopts the following technical solution:

[0008] A method for determining the parameters of a water-cooled screen based on the radiative heat transfer angle coefficient includes:

[0009] Determine the angle factor between the current cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen;

[0010] The angle coefficient is corrected based on the structural parameters of the monocrystalline silicon rod and the water-cooled screen to obtain the radiative heat transfer angle coefficient of the monocrystalline silicon rod to the water-cooled screen.

[0011] The parameters of the water-cooled screen are determined based on the radiative heat transfer angle coefficient.

[0012] The structural parameters of the single-crystal silicon rod include the height and radius of the single-crystal silicon rod, and the structural parameters of the water-cooled screen include the height, inner surface radius and outer surface radius of the water-cooled screen.

[0013] Preferably, when the height of the monocrystalline silicon rod is lower than that of the water-cooled screen, the angle factor between the cylindrical surface of the monocrystalline silicon rod and the inner surface of the water-cooled screen is determined according to the following formula:

[0014]

[0015] In the formula, A1 = 2πr1l1, where r1 is the radius of the single-crystal silicon rod cylinder and l1 is the actual height of the single-crystal silicon rod; A2 = 2πr1l2, where l2 is the actual height difference between the water-cooled screen and the single-crystal silicon rod. 12 =2πr1l 12 , l 12 Equal to the actual height of the water-cooled screen, x 1-3 This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen when the two surfaces are at the same height (l1). 12-34 This indicates that the single-crystal silicon rod and the water-cooled screen are of the same height, both being l. 12 At that time, the angle factor between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen; x 2-4 This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen when the height of the single-crystal silicon rod and the water-cooled screen are both l2.

[0016] Preferably, when the height of the single-crystal silicon rod is lower than that of the water-cooled screen, the angle factor is corrected according to the following formula.

[0017] X = X 柱面-内表面 +X 1-4' +X 1-S5 -X 1-4 -X 1-S1

[0018] in,

[0019]

[0020]

[0021]

[0022]

[0023] In the formula, x 1-3' This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen when the water-cooled screen and the single-crystal silicon rod are both at the same height (l1); x 2-4' This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen when the water-cooled screen and the single-crystal silicon rod are both at the same height (l2); x 12-3'4' This indicates that the single-crystal silicon rod and the water-cooled screen are of the same height, both being l. 12 At that time, the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen.

[0024] Preferably, when the height of the monocrystalline silicon rod is higher than that of the water-cooled screen, the angle factor between the cylindrical surface of the monocrystalline silicon rod and the inner surface of the water-cooled screen is determined according to the following formula:

[0025]

[0026] In the formula, A′ 12 =2πr1 / l′ 12 r1 is the radius of the single-crystal silicon rod cylinder, l′ 12 The actual height of the single-crystal silicon rod is A′1 = 2πr1 / l′1, where l′1 is equal to the actual height of the water-cooled screen; A′2 = 2πr1 / l′2, where l′2 is the difference in actual height between the water-cooled screen and the single-crystal silicon rod; x′ 12-34 This indicates that the single-crystal silicon rod and the water-cooled screen are both at the same height of l′. 12 At that time, the angular coefficient of the cylindrical surface of the single-crystal silicon rod facing the inner surface of the water-cooled screen; x′ 1-3 This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen when the heights are both l′1. 2-4 This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen when the height of the single-crystal silicon rod and the water-cooled screen are both l'2.

[0027] Preferably, when the height of the single-crystal silicon rod is higher than that of the water-cooled screen, the angle factor is corrected according to the following formula.

[0028] X = X 柱面-内表面 +X 2-S2 +X 1-S4 -X 2-S4 -X 1-S2

[0029] in,

[0030]

[0031]

[0032]

[0033]

[0034] In the formula, x′ 1-3' This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen when the water-cooled screen and the single-crystal silicon rod are both at the same height l′1; x' 2-4' This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen when the water-cooled screen and the single-crystal silicon rod are both at the same height of l'2.

[0035] Preferably, the inner surface of the water-cooled screen is divided into upper and lower sections, the lower section being a straight wall and the upper section being an inclined wall, wherein the inclined wall is inclined in a direction away from the single crystal silicon rod;

[0036] Preferably, the angle factor between the coaxial, equally tall single-crystal silicon rod cylindrical surface and the inner or outer surface of the water-cooled screen can be determined according to the following steps.

[0037] S11. First, obtain the angle coefficient between the inner or outer surface of the coaxial equal-height water-cooled screen and the cylindrical surface of the single-crystal silicon rod using the following formula;

[0038]

[0039] In the formula, M = L 2 +R 2 -1, N = L 2 -R 2 +1、R=r 表面 / r 柱面 L = l / r 柱面 r 柱面 Let r be the radius of the single-crystal silicon rod. 表面 It is the radius of the inner or outer surface of the water-cooled screen, and l is the common height of the coaxial single-crystal silicon rod and the water-cooled screen;

[0040] S12. Based on the interchangeability of angle factors, the angle factors of the inner or outer surface of the coaxial, equal-height water-cooled screen to the cylindrical surface of the single-crystal silicon rod are converted to obtain the angle factors of the coaxial, equal-height single-crystal silicon rod to the surface of the water-cooled screen; the conversion formula is:

[0041]

[0042] In the formula, A 柱面 The surface area of ​​a cylindrical surface of a single-crystal silicon rod: A 柱面 =2πr 柱面 l;A 表面 A represents the surface area of ​​the inner or outer surface of a water-cooled screen. 表面 =2πr 表面 l.

[0043] As can be seen from the above technical solutions, compared with the prior art, the present invention combines the algebraic method of angle coefficient and interchangeability to provide a method for determining the parameters of a water-cooled screen based on the radiative heat transfer angle coefficient. Through the method disclosed in this application, the radiative heat transfer angle coefficient between water-cooled screens of different shapes and single-crystal silicon rods can be obtained, thereby providing a scientific basis for the selection and design of water-cooled screens. Attached Figure Description

[0044] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on the provided drawings without creative effort.

[0045] Figure 1 Flowchart of the method for determining the parameters of a water-cooled screen based on the radiative heat transfer angle coefficient;

[0046] Figure 2 This is a schematic diagram of the water-cooled screen structure;

[0047] Figure 3 An auxiliary model for obtaining the angle coefficient when the height of the monocrystalline silicon rod is lower than that of the water-cooled screen;

[0048] Figure 4 An auxiliary model is used to obtain the angle coefficient when the height of the monocrystalline silicon rod is higher than that of the water-cooled screen. Detailed Implementation

[0049] 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. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0050] This invention discloses a method for determining the parameters of a water-cooled screen based on the radiative heat transfer angle coefficient. The main purpose is to provide constructive suggestions for optimizing the parameters or selecting the model of water-cooled screens used for single-crystal silicon rods at different growth stages. Since the heat dissipation of the silicon rod is mainly through outward heat radiation, the water-cooled screen can absorb this radiation and carry away the heat from the silicon rod. The angle coefficient is an important parameter for measuring the heat radiation transferred from the silicon rod to the water-cooled screen. Selecting the design scheme corresponding to the largest angle coefficient among water-cooled screens of different shapes for the silicon rod can minimize experimental costs and reduce the randomness in the design or selection of water-cooled screens.

[0051] Specifically, the method for determining the parameters of the water-cooled screen in this invention is as follows: Figure 1 ,include:

[0052] Determine the angle factor between the current cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen;

[0053] The angle coefficient is corrected based on the structural parameters of the monocrystalline silicon rod and the water-cooled screen to obtain the radiative heat transfer angle coefficient of the monocrystalline silicon rod to the water-cooled screen; wherein, the structural parameters of the monocrystalline silicon rod include the height and radius of the monocrystalline silicon rod, and the structural parameters of the water-cooled screen include the height, inner surface radius and outer surface radius of the water-cooled screen.

[0054] The parameters of the water-cooled screen are determined based on the radiative heat transfer angle coefficient.

[0055] In this embodiment, the single-crystal silicon rod can be equivalent to a cylinder, and the water-cooled screen can be equivalent to a cylindrical shell. The inner surface of the water-cooled screen is divided into upper and lower sections; the lower section has a straight wall, and the upper section has an inclined wall. Figure 2 As shown, the inclined wall is inclined in a direction away from the single crystal silicon rod.

[0056] Furthermore, since the length of the water-cooling screen is fixed during the growth of monocrystalline silicon, while the length of the monocrystalline silicon rod is constantly changing, the determination of the angle factor can be divided into two cases: the height of the monocrystalline silicon rod is lower than that of the water-cooling screen, and the height of the monocrystalline silicon rod is higher than that of the water-cooling screen.

[0057] like Figure 3 As shown, when the height of the single crystal silicon rod is lower than that of the water-cooled screen, the water-cooled screen is divided into an inner cylinder (surface 34) and an outer cylinder (surface 3′4′). The dashed lines are auxiliary surfaces for calculating the angle coefficient. Cylinder surface 1 is the crystal surface, cylinder surface 2 is the crystal auxiliary surface, cylinder surface 3 is parallel to cylinder surface 1 and at the same height, cylinder surface 4 is parallel to cylinder surface 2 and at the same height, and S1, S2, S3, S4 and S5 are auxiliary end faces.

[0058] The angle factor between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen is then determined using the following formula:

[0059]

[0060] In the formula, A1 represents the surface area of ​​cylinder 1, A1 = 2πr1l1, where r1 is the radius of the single-crystal silicon rod cylinder and l1 is the actual height of the single-crystal silicon rod; A2 represents the surface area of ​​cylinder 2, A2 = 2πr1l2, where l2 is the actual height difference between the water-cooled screen and the single-crystal silicon rod. 12 Let A represent the surface area of ​​cylinder 12. 12 =2πr1l 12 , l 12 Equal to the actual height of the water-cooled screen,

[0061] x 1-3 x represents the angle factor between cylindrical surface 1 and tubular surface 3, that is, the angle factor between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen when the single-crystal silicon rod and the water-cooled screen are of the same height l1; 12-34 This represents the angle coefficient between cylindrical surface 12 and tubular surface 34, i.e., the single-crystal silicon rod and the water-cooled screen are both the same height, l. 12 At that time, the angle factor between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen; x 2-4 This represents the angle coefficient between cylindrical surface 2 and cylindrical surface 4, that is, the angle coefficient between the cylindrical surface of the single crystal silicon rod and the inner surface of the water-cooled screen when the single crystal silicon rod and the water-cooled screen are of the same height l2.

[0062] At this point, the angle coefficient is corrected according to the following formula to obtain the radiative heat transfer angle coefficient of the single crystal silicon rod to the water-cooled screen.

[0063] X = X 柱面-内表面+X 1-4' +X 1-S5 -X 1-4 -X 1-S1

[0064] Among them, X 1-S1 X represents the angle coefficient of cylinder 1 with respect to end face S1. 1-S5 X represents the angle coefficient of cylinder 1 with respect to end face S5. 1-4′ X represents the angle coefficient of cylinder 1 with respect to cylinder 4′. 1-4 Let represent the angle coefficient of cylinder 1 with respect to cylinder 4, and calculate them according to the following formulas:

[0065]

[0066]

[0067]

[0068]

[0069] In the formula, x 1-3' This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen when the water-cooled screen and the single-crystal silicon rod are both at the same height (l1); x 2-4' This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen when the water-cooled screen and the single-crystal silicon rod are both at the same height (l2); x 12-3'4' This indicates that the single-crystal silicon rod and the water-cooled screen are of the same height, both being l. 12 At that time, the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen.

[0070] In this embodiment, as Figure 4 As shown, when the height of the single crystal silicon rod is higher than that of the water-cooled screen, cylindrical surfaces 1 and 2 are the crystal surfaces, cylindrical surface 3 is the inner surface of the water-cooled screen and is parallel and at the same height as cylindrical surface 1, cylindrical surface 4 is the auxiliary surface of the water-cooled screen and is parallel and at the same height as cylindrical surface 2, and S2, S3, and S4 are auxiliary end faces.

[0071] Furthermore, the angle factor between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen is determined using the following formula:

[0072]

[0073] In the formula, A′ 12 =2πr1 / l′ 12 r1 is the radius of the single-crystal silicon rod cylinder, l′ 12 The actual height of the single-crystal silicon rod is A′1 = 2πr1 / l′1, where l′1 is equal to the actual height of the water-cooled screen; A′2 = 2πr1 / l′2, where l′2 is the difference in actual height between the water-cooled screen and the single-crystal silicon rod; x′ 12-34 This indicates that the single-crystal silicon rod and the water-cooled screen are both at the same height of l′. 12At that time, the angular coefficient of the cylindrical surface of the single-crystal silicon rod facing the inner surface of the water-cooled screen; x′ 1-3 This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen when the heights are both l′1. 2-4 This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen when the height of the single-crystal silicon rod and the water-cooled screen are both l'2.

[0074] The present invention further corrects the angle coefficient according to the following formula:

[0075] X = X 柱面-内表面 +X 2-S2 +X 1-S4 -X 2-S4 -X 1-S2

[0076] Among them, X 2-S2 X represents the angle coefficient of cylinder 2 with respect to end face S2. 1-S4 X represents the angle coefficient of cylinder 1 with respect to end face S4. 2-S4 X represents the angle coefficient of cylinder 2 with respect to end face S4. 1-S2 The angle coefficients of cylinder 1 with respect to end face S2 are calculated using the following formulas:

[0077]

[0078]

[0079]

[0080]

[0081] In the formula, x′ 1-3' This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen when the water-cooled screen and the single-crystal silicon rod are both at the same height l′1; x' 2-4' This represents the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen when the water-cooled screen and the single-crystal silicon rod are both at the same height of l'2.

[0082] To further optimize the above technical solution, in the above calculation process of this invention, the angle coefficient between the coaxial, equally high single-crystal silicon rod cylinder and the outer surface of the water-cooled screen, such as x 12-34 x 1-3 x 2-4 、x' 2-4' 、x' 1-3 、x' 2-4 、x′ 1-3' Please determine the following steps:

[0083] S11. First, obtain the angle coefficient of the inner surface of the coaxial equal-height water-cooled screen to the cylindrical surface of the single-crystal silicon rod according to the following formula;

[0084]

[0085] In the formula, M = L 2 +R 2 -1, N = L 2 -R 2 +1、R=r 表面 / r 柱面 L = l / r 柱面 r 柱面 Let r be the radius of the single-crystal silicon rod. 表面 is the radius of the water-cooled screen surface, and l is the height of the coaxial, equally tall single-crystal silicon rod and the water-cooled screen.

[0086] S12. Based on the interchangeability of angle factors, the angle factor of the inner surface of the coaxial, equal-height water-cooled screen to the cylindrical surface of the single-crystal silicon rod is converted to obtain the angle factor of the coaxial, equal-height single-crystal silicon rod to the surface of the water-cooled screen; the conversion formula is:

[0087]

[0088] In the formula, A 柱面 The surface area of ​​a cylindrical surface of a single-crystal silicon rod: A 柱面 =2πr 柱面 l;A 表面 The surface area of ​​a water-cooled screen is represented by: A 表面 =2πr 表面 l.

[0089] The angle factor is an important parameter for measuring the heat radiation transfer from a silicon rod to a water-cooled screen. In the radiative heat transfer from a single-crystal silicon rod to a water-cooled screen, a larger angle factor is desirable for radiative heat transfer. Therefore, this invention selects the largest angle factor among various water-cooled screens based on the above method, thereby deducing the suitable water-cooled screen model for single-crystal silicon rods at different growth stages.

[0090] Alternatively, the parameters of the water-cooled screen can be designed and optimized. In this application, mainstream search algorithms can be used to search and solve the simplified radiative heat transfer angle coefficient formula to obtain the optimal water-cooled screen parameters under the required angle coefficient, thereby providing constructive suggestions for the design of the water-cooled screen.

[0091] The various embodiments in this specification are described in a progressive manner, with each embodiment focusing on its differences from other embodiments. Similar or identical parts between embodiments can be referred to interchangeably. For the apparatus disclosed in the embodiments, since they correspond to the methods disclosed in the embodiments, the description is relatively simple; relevant parts can be referred to the method section.

[0092] The above description of the disclosed embodiments enables those skilled in the art to make or use the invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the invention. Therefore, the invention is not to be limited to the embodiments shown herein, but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims

1. A method for determining the parameters of a water-cooled screen based on the radiative heat transfer angle coefficient, characterized in that, include: Determine the angle factor between the current cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen; The angle coefficient is corrected based on the structural parameters of the monocrystalline silicon rod and the water-cooled screen to obtain the radiative heat transfer angle coefficient of the monocrystalline silicon rod to the water-cooled screen. The parameters of the water-cooled screen are determined based on the aforementioned radiative heat transfer angular coefficient; When the height of the monocrystalline silicon rod is lower than that of the water-cooled screen, the angle factor between the cylindrical surface of the monocrystalline silicon rod and the inner surface of the water-cooled screen is determined by the following formula: In the formula, , The radius of the single-crystal silicon rod cylinder is given. This refers to the actual height of the single-crystal silicon rod; , This represents the actual height difference between the water-cooled screen and the single-crystal silicon rod. , Equal to the actual height of the water-cooled screen, This indicates that the single-crystal silicon rod and the water-cooled screen are of the same height. At that time, the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen; This indicates that the single-crystal silicon rod and the water-cooled screen are of the same height. At that time, the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen; This indicates that the single-crystal silicon rod and the water-cooled screen are of the same height. At that time, the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen; When the height of the single-crystal silicon rod is lower than that of the water-cooled screen, the angle factor is corrected according to the following formula. in, In the formula, This indicates that the water-cooled screen and the single-crystal silicon rod are of the same height. At that time, the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen; This indicates that the water-cooled screen and the single-crystal silicon rod are of the same height. At that time, the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen; This indicates that the single-crystal silicon rod and the water-cooled screen are of the same height. At that time, the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen; When the height of the monocrystalline silicon rod is higher than that of the water-cooled screen, the angle factor between the cylindrical surface of the monocrystalline silicon rod and the inner surface of the water-cooled screen is determined by the following formula: In the formula, , It is the radius of the single-crystal silicon rod cylinder. This refers to the actual height of the single-crystal silicon rod; , It is equal to the actual height of the water-cooled screen; , This represents the actual height difference between the water-cooled screen and the single-crystal silicon rod. This indicates that the single-crystal silicon rod and the water-cooled screen are of the same height. At that time, the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen; This indicates that the single-crystal silicon rod and the water-cooled screen are of the same height. At that time, the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen; This indicates that the single-crystal silicon rod and the water-cooled screen are of the same height. At that time, the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the inner surface of the water-cooled screen; When the height of the single-crystal silicon rod is higher than that of the water-cooled screen, the angle factor is corrected according to the following formula. in, In the formula, This indicates that the water-cooled screen and the single-crystal silicon rod are of the same height. At that time, the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen; This indicates that the water-cooled screen and the single-crystal silicon rod are of the same height. At that time, the angle coefficient between the cylindrical surface of the single-crystal silicon rod and the outer surface of the water-cooled screen.

2. The method for determining the parameters of a water-cooled screen based on the radiative heat transfer angle coefficient according to claim 1, characterized in that, The structural parameters of the monocrystalline silicon rod include its height and radius, and the structural parameters of the water-cooled screen include its height, inner surface radius, and outer surface radius.

3. The method for determining the parameters of a water-cooled screen based on the radiative heat transfer angle coefficient according to claim 1, characterized in that, The inner surface of the water-cooled screen is divided into two sections: the lower section is a straight wall and the upper section is an inclined wall. The inclined wall is inclined away from the direction of the single-crystal silicon rod.

4. The method for determining the parameters of a water-cooled screen based on the radiative heat transfer angle coefficient according to claim 1, characterized in that, The angle factor between a coaxial, equally tall single-crystal silicon rod cylindrical surface and the water-cooled screen surface is determined according to the following steps. S11. First, obtain the angle coefficient of the coaxial equal-height water-cooled screen surface to the cylindrical surface of the single-crystal silicon rod according to the following formula; In the formula, , , , , The radius of the single-crystal silicon rod is given. It is the radius of the water-cooled screen surface. The combined height of the single-crystal silicon rod and the water-cooled screen; S12. Based on the interchangeability of angle factors, the angle factor of the coaxial, equal-height water-cooled screen surface to the cylindrical surface of the single-crystal silicon rod is converted to obtain the angle factor of the coaxial, equal-height single-crystal silicon rod cylindrical surface to the water-cooled screen surface; the conversion formula is: In the formula, The surface area of ​​the cylindrical surface of a single-crystal silicon rod is represented as follows: ; Indicates the surface area of ​​the water-cooled screen: .

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