A method and system for determining fiber diameter of melt-fractionated red mud fiber

Abstract

The invention relates to a method and system for determining the fiber diameter of melt-fractionated red mud fiber. The method is based on determining the chemical composition content of the melt-fractionated red mud fiber system and establishing a cubic box of the melt-fractionated red mud fiber system. Then, the cubic box is subjected to high-temperature geometry optimization, and the optimized box is subjected to cooling molecular dynamics simulation. The total mean square displacement distribution of all atoms in the system is used to determine the diffusion coefficient D and the viscosity coefficient η. The radius r of the melt-fractionated red mud fiber is measured, and a relationship model between viscosity and radius is established by a linear regression method. The fiber diameter is determined based on the relationship model, and mechanical measurement of the fiber diameter is not required, thereby realizing rapid determination of the fiber diameter of the melt-fractionated red mud fiber.

Description

Technical Field

[0001] The invention relates to the technical field of fiberization by melt-fractionated red mud, and in particular to a method and system for determining fiber diameter by melt-fractionated red mud fiberization. Background Art

[0002] Molten red mud is the solid waste (red mud) generated in the process of aluminum production. It is the slag formed after the iron is extracted from the rotary furnace. It contains a large amount of alkaline oxides and alumina. If it accumulates in large quantities, it will pollute the environment. At present, certain progress has been made in the preparation of mineral wool using red mud, sodium salt of the conditioning agent and quicklime as raw materials; the preparation of fibers using red mud and pulverized coal as the main materials, quicklime and industrial waste slag (containing high calcium). In the process of using red mud to prepare fibers, it is particularly important to ensure that the quality of the produced fibers is good and meets national standards. Among them, the diameter of the fiber is an important criterion for evaluating the quality of the product. How to quickly determine the fiber diameter of the molten red mud fiber has become a technical problem that needs to be solved urgently. Summary of the invention

[0003] The object of the present invention is to provide a method and system for determining the fiber diameter of melt-fractionated red mud fiber-forming, so as to quickly determine the fiber diameter of melt-fractionated red mud fiber-forming.

[0004] To achieve the above object, the present invention provides the following solutions:

[0005] The present invention provides a method for determining the fiber diameter of melt-fractionated red mud fiberization, the method comprising the following steps:

[0006] The theoretical values ​​of viscosity coefficient and fiber radius of melted red mud fiberization were determined by computer modeling.

[0007] According to the theoretical values ​​of viscosity coefficient and fiber radius, the relationship model between viscosity coefficient and fiber radius was determined by linear regression method.

[0008] Calculate the actual value of the viscosity coefficient during the fiberization process of melted red mud;

[0009] According to the relationship model and the actual value of the viscosity coefficient, the actual value of the fiber diameter of the melted red mud fiber is determined.

[0010] Optionally, the method of using computer modeling to determine the theoretical value of the viscosity coefficient and the theoretical value of the fiber radius of the melted red mud fiberization specifically includes:

[0011] Based on the contents of different chemical components in the fiber-forming system of melted red mud, a cubic box model of amorphous melted red mud was constructed.

[0012] Performing geometric optimization on the amorphous molten red mud cubic box model to obtain an optimized geometric model;

[0013] The optimized geometric model was subjected to cooling molecular dynamics simulation, and the total mean square displacement of all atoms in the melt-fragmented red mud fiber-forming system was obtained.

[0014] Calculating a theoretical value of the viscosity coefficient of the melted red mud fiberization based on the total mean square displacement;

[0015] After the cooling is completed, the theoretical value of the fiber radius of the melted red mud after fiberization is measured.

[0016] Optionally, the theoretical value of the viscosity coefficient of the melted red mud fiberization calculated based on the total mean square displacement specifically includes:

[0017] Based on the total mean square displacement, using the formula Calculate the diffusion coefficient of melted red mud into fibers;

[0018] Based on the diffusion coefficient, using the formula Calculate the theoretical value of the viscosity coefficient of melted red mud into fibers;

[0019] Where D represents the diffusion coefficient of melt-fractionated red mud fiber, η represents the viscosity coefficient of melt-fractionated red mud fiber, K b represents the Bolsmann constant, T represents the temperature, λ represents the average diffusion distance of the diffused ions, λ=2R, R represents the average radius of the diffused ions, t represents the time, represents the total mean square displacement, r i(t) represents the position vector of ion i at time t, r i(0) represents the position vector of ion i at time 0, and N represents the number of ions.

[0020] Optionally, the relationship model is: η=a+br;

[0021] Among them, η and r are the viscosity coefficient and fiber radius of the melted red mud fiber, respectively, and a and b represent the constant term coefficient and the linear term coefficient of the relationship model, respectively.

[0022] A fiber diameter determination system for melt-fractionated red mud fiberization, the system comprising the following steps:

[0023] Theoretical value simulation measurement module is used to determine the theoretical value of the viscosity coefficient and the theoretical value of the fiber radius of the melted red mud fiber by computer modeling;

[0024] A relationship model determination module is used to determine the relationship model between the viscosity coefficient and the fiber forming radius by using a linear regression method according to the theoretical value of the viscosity coefficient and the theoretical value of the fiber forming radius;

[0025] The actual value calculation module of the viscosity coefficient is used to calculate the actual value of the viscosity coefficient in the process of melting red mud into fibers;

[0026] The fiberizing radius determination module is used to determine the actual value of the fiberizing diameter of the melted red mud fiber according to the relationship model and the actual value of the viscosity coefficient.

[0027] Optionally, the theoretical value simulation measurement module specifically includes:

[0028] Amorphous molten red mud cubic box model construction submodule, used to construct an amorphous molten red mud cubic box model based on the content of different chemical components in the molten red mud fiber-forming system;

[0029] An amorphous molten red mud cubic box model optimization submodule is used to perform geometric optimization on the amorphous molten red mud cubic box model to obtain an optimized geometric model;

[0030] The total mean square displacement acquisition submodule is used to perform cooling molecular dynamics simulation on the optimized geometric model and obtain the total mean square displacement of all atoms in the melt-fragmented red mud fiber-forming system;

[0031] A viscosity coefficient theoretical value calculation submodule, used for calculating the theoretical value of the viscosity coefficient of the melted red mud fiberization based on the total mean square displacement;

[0032] The fiber radius theoretical value measurement submodule is used to measure the theoretical value of the fiber radius after the melted red mud is fiberized after the cooling is completed.

[0033] Optionally, the viscosity coefficient theoretical value calculation submodule specifically includes:

[0034] The diffusion coefficient calculation unit is used based on the total mean square displacement, using the formula Calculate the diffusion coefficient of melted red mud into fibers;

[0035] The viscosity coefficient theoretical value calculation unit is used to calculate the viscosity coefficient based on the diffusion coefficient using the formula Calculate the theoretical value of the viscosity coefficient of melted red mud into fibers;

[0036] Where D represents the diffusion coefficient of melt-fractionated red mud fiber, η represents the viscosity coefficient of melt-fractionated red mud fiber, K b represents the Bolsmann constant, T represents the temperature, λ represents the average diffusion distance of the diffused ions, λ=2R, R represents the average radius of the diffused ions, t represents the time, represents the total mean square displacement, r i(t) represents the position vector of ion i at time t, r i(0) represents the position vector of ion i at time 0, and N represents the number of ions.

[0037] Optionally, the relationship model is: η=a+br;

[0038] Among them, η and r are the viscosity coefficient and fiber radius of the melted red mud fiber, respectively, and a and b represent the constant term coefficient and the linear term coefficient of the relationship model, respectively.

[0039] According to the specific embodiments provided by the present invention, the present invention discloses the following technical effects:

[0040] The invention discloses a method and system for determining the fiber diameter of melt-fractionated red mud fiber. The method is based on determining the chemical component content of the melt-fractionated red mud fiber system, establishing a cubic box of the melt-fractionated red mud fiber system; then high-temperature geometry optimization is performed on the cubic box, and the optimized box is subjected to cooling molecular dynamics simulation, and the diffusion coefficient D and the viscosity coefficient η are determined by using the total mean square displacement distribution of all atoms in the system; the radius r of the melt-fractionated red mud fiber is measured, and a relationship model between viscosity and radius is established by a linear regression method, and the fiber diameter is determined based on the relationship model, without the need for mechanical measurement of the fiber diameter, thereby realizing rapid determination of the fiber diameter of the melt-fractionated red mud fiber. BRIEF DESCRIPTION OF THE DRAWINGS

[0041] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative labor.

[0042] Figure 1 A flow chart of a method for determining fiber diameter of melted red mud fiberization provided by the present invention;

[0043] Figure 2 A schematic diagram of the structure of an amorphous cubic box model provided in Example 3 of the present invention;

[0044] Figure 3 A temperature and time relationship diagram set in the cooling simulation process provided in Example 3 of the present invention;

[0045] Figure 4 This is an example of a fiber photo provided in Example 3 of the present invention;

[0046] Figure 5 This is a graph showing the relationship between the viscosity coefficient of the molten red mud and the fiber diameter provided in Example 3 of the present invention. DETAILED DESCRIPTION

[0047] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0048] The object of the present invention is to provide a method and system for determining the fiber diameter of melt-fractionated red mud fiber-forming, so as to quickly determine the fiber diameter of melt-fractionated red mud fiber-forming.

[0049] In order to make the above-mentioned objects, features and advantages of the present invention more obvious and easy to understand, the present invention is further described in detail below with reference to the accompanying drawings and specific embodiments.

[0050] Example 1

[0051] like Figure 1 As shown, the present invention provides a method for determining the fiber diameter of melt-fractionated red mud fiber, the method comprising the following steps:

[0052] Step 101, using computer modeling to determine a theoretical value of a viscosity coefficient and a theoretical value of a fiber radius of melted red mud fiberized;

[0053] In step 101, the theoretical value of the viscosity coefficient and the theoretical value of the fiber radius of the melted red mud fiber are determined by computer modeling, which specifically includes:

[0054] Based on the content of different chemical components in the fiber-forming system of melted red mud, an amorphous melted red mud cubic box model is constructed. The amorphous cubic box model of the present invention is established in the Amorphous Cell module in the Materials Studio software. The molecules in the box are Fe2O3, CaO, MgO, SiO2, Al2O3, Na2O and TiO2; the force field type is Universal; the temperature is 298K; the density is selected as 2.8-3.1g / cm 3 .

[0055] The amorphous molten red mud cubic box model is geometrically optimized to obtain an optimized geometric model. The parameters of the geometric model optimization include: the calculation software is Materials Studio software; the GULP module is the calculation module; the force field adopts the Garofalini two-body potential; the ensemble is the Number Volume Temperature (NVT) ensemble; the temperature is 5000K; and the relaxation is 30 to 50ps.

[0056] The optimized geometric model was subjected to a cooling molecular dynamics simulation, and the total mean square displacement of all atoms in the melt-fragmented red mud fiber-forming system was obtained. 初 The temperature for high temperature geometry optimization in step 2 is set to 5000K, relax for 30-50ps, and then cool down to T at a rate of 100-200K / ps. 中 2000K, then isothermally relax for 30-50ps, and then cool down to T at a rate of 5-10K / ps. 终 1800~1550K, and relax at this temperature for 30~50ps. The parameters of the cooling molecular dynamics simulation calculation include: the calculation software is Materials Studio software; the calculation module is GULP module; the ensemble is NumberVolumeTemperature ensemble. The output T 终 The process of the total mean square displacement distribution of all atoms after relaxation is as follows: Output T through the MSD function in the ForiceAnalysis module of Materials Studio software 终 The total mean square displacement distribution of all atoms after relaxation.

[0057] The theoretical value of the viscosity coefficient of the melted red mud fiberization is calculated based on the total mean square displacement.

[0058] Using formula 1 and formula 2, the diffusion coefficient D is obtained;

[0059]

[0060] In formula 1: MSD is T in step 4 终 The total mean square displacement distribution of all atoms in the relaxation stage; r i(0) is the position vector of atom i at time 0; r i(t) is the position vector of atom i at time t;

[0061]

[0062] The viscosity coefficient η of melted red mud fiberization is obtained using formula 3:

[0063]

[0064] In formula 3: η is the viscosity coefficient, the unit is J·m -1 ·s;K B is the Bolsmann constant; T is T 终 , the unit is K; λ represents the average diffusion distance of the diffused ions, λ = 2R, R is the average radius of the diffused ions, the unit is

[0065] After the cooling is completed, the theoretical value of the fiber radius after the melted red mud is fiberized is measured; the fiber radius r is measured after the melted red mud is fiberized.

[0066] Step 102, according to the theoretical value of the viscosity coefficient and the theoretical value of the fiber radius, a linear regression method is used to determine the relationship model between the viscosity coefficient and the fiber radius. The relationship model is: η = a + br; wherein η and r are the viscosity coefficient and fiber radius of the melted red mud fiber, respectively, and a and b represent the constant term coefficient and the first-order term coefficient of the relationship model, respectively.

[0067] Step 103, calculating the actual value of the viscosity coefficient in the process of melting red mud into fibers;

[0068] Step 104, determining the actual value of the fiber diameter of the melted red mud fiber according to the relationship model and the actual value of the viscosity coefficient.

[0069] Example 2

[0070] The present invention also provides a fiber diameter determination system for melt-fractionated red mud fiberization, the system comprising:

[0071] The theoretical value simulation measurement module is used to determine the theoretical value of the viscosity coefficient of the melted red mud fiber and the theoretical value of the fiber radius by computer modeling.

[0072] The theoretical value simulation measurement module specifically includes: an amorphous molten red mud cube box model construction submodule, which is used to construct an amorphous molten red mud cube box model based on the content of different chemical components in the molten red mud fiber-forming system; an amorphous molten red mud cube box model optimization submodule, which is used to perform geometric optimization on the amorphous molten red mud cube box model to obtain an optimized geometric model; a total mean square displacement acquisition submodule, which is used to perform cooling molecular dynamics simulation on the optimized geometric model and obtain the total mean square displacement of all atoms in the molten red mud fiber-forming system; a viscosity coefficient theoretical value calculation submodule, which is used to calculate the theoretical value of the viscosity coefficient of molten red mud fiber-forming based on the total mean square displacement; and a fiber-forming radius theoretical value measurement submodule, which is used to measure the theoretical value of the fiber-forming radius after the molten red mud fiber-forming is completed.

[0073] The viscosity coefficient theoretical value calculation submodule specifically includes: a diffusion coefficient calculation unit for calculating the total mean square displacement using the formula Calculate the diffusion coefficient of melted red mud into fiber; viscosity coefficient theoretical value calculation unit, used to calculate the viscosity coefficient based on the diffusion coefficient using the formula Calculate the theoretical value of the viscosity coefficient of melted red mud into fibers;

[0074] Where D represents the diffusion coefficient of melt-fractionated red mud fiber, η represents the viscosity coefficient of melt-fractionated red mud fiber, K brepresents the Bolsmann constant, T represents the temperature, λ represents the average diffusion distance of the diffused ions, λ=2R, R represents the average radius of the diffused ions, t represents the time, represents the total mean square displacement, r i(t) represents the position vector of ion i at time t, r i(0) represents the position vector of ion i at time 0, and N represents the number of ions.

[0075] The relationship model determination module is used to determine the relationship model between the viscosity coefficient and the fiber forming radius by using a linear regression method according to the theoretical value of the viscosity coefficient and the theoretical value of the fiber forming radius.

[0076] The relationship model is: η=a+br; wherein η and r are respectively the viscosity coefficient and the fiber radius of the melted red mud fiber, and a and b respectively represent the constant term coefficient and the linear term coefficient of the relationship model.

[0077] The viscosity coefficient actual value calculation module is used to calculate the actual value of the viscosity coefficient in the process of melting red mud into fibers.

[0078] The fiberizing radius determination module is used to determine the actual value of the fiberizing diameter of the melted red mud fiber according to the relationship model and the actual value of the viscosity coefficient.

[0079] Example 3

[0080] Example 3 of the present invention provides a specific implementation of the method and system of the present invention.

[0081] Firstly, the raw material ratio of red mud fiberization was determined according to the main chemical composition of the molten red mud and the conditioning agent (quicklime, quartz stone and dolomite), and 7 schemes were set up for implementation, as shown in Tables 1 and 2.

[0082] Table 1 Mass fraction of each component in the melted red mud

[0083] plan <![CDATA[Fe2O3]]> CaO MgO <![CDATA[SiO2]]> <![CDATA[Al2O3]]> <![CDATA[Na2O]]> <![CDATA[TiO2]]> 1# 3.55 7.15 1.40 45.89 28.86 7.07 6.03 2# 4.06 11.41 6.20 40.18 25.84 6.28 5.90 3# 1.37 16.21 10.17 45.35 20.70 3.13 2.96 4# 1.67 14.98 8.93 41.68 25.20 3.80 3.61 5# 3.56 15.95 9.69 42.75 18.40 5.56 3.89 6# 4.97 10.92 5.34 40.43 25.20 7.61 5.33 7# 6.03 8.60 3.14 36.32 30.22 9.14 6.39

[0084] Table 2 The number of atoms of each element in the cubic box

[0085]

[0086] (1) Based on the above atomic types and numbers, a cubic box for melting red mud into fibers was constructed using the Amorphous Cell module in the Materials Studio software, as shown in Figure 2 As shown, the density is set to 2.90g, the force field type is Universal, and the temperature is set to 298K.

[0087] (2) The optimized box is subjected to molecular dynamics simulation of the cooling process. The temperature reduction system is as follows: Figure 3 As shown: The cubic box with optimized high temperature geometry is cooled from 5000K (T) in 30ps at a rate of 100K / ps. 初 ) down to 2000K(T 中 ), then relax for 30ps, and then cool from 2000K to 1800K at a cooling rate of 10K / ps (T 终 ) and relax at this temperature for 30ps. The purpose of relaxation is to balance the energy of the system and eliminate stress.

[0088] (3) After the temperature drop calculation is completed, the total mean square displacement (MSD) distribution of all atoms is output;

[0089] Using formula 1 and formula 2, the diffusion coefficient D is obtained;

[0090]

[0091] In formula 1: MSD is T in step 4 终 The total mean square displacement distribution of all atoms in the relaxation stage; r i(0) is the position vector of atom i at time 0; r i(t) is the position vector of atom i at time t;

[0092]

[0093] The viscosity coefficient η of melted red mud fiberization is obtained using formula 3:

[0094]

[0095] In formula 3: η is the viscosity coefficient, the unit is J·m -1 ·s;K B is the Bolsmann constant; T is T 终 , unit is K; λ is the average diffusion distance of the diffused ions, λ = 2R, R is the average radius of the diffused ions, unit is

[0096] (4) After the red mud was melted and fiberized in seven schemes (such as Figure 4 ) was measured, and then the relationship between the viscosity of molten red mud and the fiber radius r was established by linear regression. The calculation results are shown in Figure 5 As shown: the relationship between the viscosity coefficient η of molten red mud and the fiber diameter r is: η = -2.98 + 0.94r.

[0097] The present invention is based on determining the chemical component content of the molten red mud fiber system, and uses Materials Studio molecular dynamics software to establish a cubic box of the molten red mud fiber system; then high-temperature geometry optimization is performed on the cubic box, and the optimized box is subjected to cooling molecular dynamics simulation, and the total mean square displacement distribution (Total MSD) of all atoms in the system is used to determine the diffusion coefficient D and the viscosity coefficient η; the radius r of the molten red mud fiber is measured, and a relationship between the viscosity and the radius is established by a linear regression method, and based on the relationship, the fiber diameter is directly determined by calculating the viscosity, without measuring the fiber diameter, thereby realizing rapid determination of the fiber diameter of the molten red mud fiber.

[0098] The various embodiments in this specification are described in a progressive manner, and each embodiment focuses on the differences from other embodiments. The same or similar parts between the various embodiments can be referenced to each other.

[0099] The principles and implementation methods of the present invention are described in this article using specific examples. The description of the above embodiments is only used to help understand the method and core idea of ​​the present invention. At the same time, for those skilled in the art, according to the idea of ​​the present invention, there will be changes in the specific implementation methods and application scope. In summary, the content of this specification should not be understood as limiting the present invention.

Claims

1. A method for determining the fiber diameter of melt-fractionated red mud fiberization, characterized in that: The method comprises the following steps: The theoretical values ​​of viscosity coefficient and fiber radius of melted red mud fiberization were determined by computer modeling. According to the theoretical value of viscosity coefficient and the theoretical value of fiber radius, the relationship model between viscosity coefficient and fiber radius was determined by linear regression method. Calculate the actual value of the viscosity coefficient during the fiberization process of melted red mud; Determining the actual value of the fiber diameter of the melted red mud fiber according to the relationship model and the actual value of the viscosity coefficient; The method of using computer modeling to determine the theoretical value of the viscosity coefficient and the theoretical value of the fiber radius of the melted red mud fiberization specifically includes: Based on the contents of different chemical components in the fiber-forming system of melted red mud, a cubic box model of amorphous melted red mud was constructed. Performing geometric optimization on the amorphous molten red mud cubic box model to obtain an optimized geometric model; The optimized geometric model was subjected to cooling molecular dynamics simulation, and the total mean square displacement of all atoms in the melt-fragmented red mud fiber-forming system was obtained. Calculating a theoretical value of the viscosity coefficient of the melted red mud fiberization based on the total mean square displacement; After the cooling is completed, the theoretical value of the fiber radius after the melted red mud is fiberized is measured; The theoretical value of the viscosity coefficient of the melted red mud fiberization calculated based on the total mean square displacement specifically includes: Based on the total mean square displacement, using the formula Calculate the diffusion coefficient of melted red mud into fibers; Based on the diffusion coefficient, using the formula Calculate the theoretical value of the viscosity coefficient of melted red mud into fibers; Where D represents the diffusion coefficient of melt-fractionated red mud fiber, η represents the viscosity coefficient of melt-fractionated red mud fiber, K b represents the Bolsmann constant, T represents the temperature, λ represents the average diffusion distance of the diffused ions, λ=2R, R represents the average radius of the diffused ions, t represents the time, represents the total mean square displacement, r i(t) represents the position vector of ion i at time t, r i(0) represents the position vector of ion i at time 0, and N represents the number of ions; The relationship model is: η=a+br; Among them, η and r are the viscosity coefficient and fiber radius of the melted red mud fiber, respectively, and a and b represent the constant term coefficient and the linear term coefficient of the relationship model, respectively.

2. A fiber diameter determination system for melt-fractionated red mud fiberization, characterized in that: The system comprises the following steps: Theoretical value simulation measurement module is used to determine the theoretical value of the viscosity coefficient and the theoretical value of the fiber radius of the melted red mud fiber by computer modeling; A relationship model determination module is used to determine the relationship model between the viscosity coefficient and the fiber radius by using a linear regression method according to the theoretical value of the viscosity coefficient and the theoretical value of the fiber radius; The actual value calculation module of the viscosity coefficient is used to calculate the actual value of the viscosity coefficient in the process of melting red mud into fibers; A fiber radius determination module, used to determine the actual value of the fiber diameter of the melted red mud fiber according to the relationship model and the actual value of the viscosity coefficient; The theoretical value simulation measurement module specifically includes: Amorphous molten red mud cubic box model construction submodule, used to construct an amorphous molten red mud cubic box model based on the content of different chemical components in the molten red mud fiber-forming system; An amorphous molten red mud cubic box model optimization submodule is used to perform geometric optimization on the amorphous molten red mud cubic box model to obtain an optimized geometric model; The total mean square displacement acquisition submodule is used to perform cooling molecular dynamics simulation on the optimized geometric model and obtain the total mean square displacement of all atoms in the melt-fragmented red mud fiber-forming system; A viscosity coefficient theoretical value calculation submodule, used for calculating the theoretical value of the viscosity coefficient of the melted red mud fiberization based on the total mean square displacement; The fiber radius theoretical value measurement submodule is used to measure the theoretical value of the fiber radius after the melted red mud is fiberized after the cooling is completed; The viscosity coefficient theoretical value calculation submodule specifically includes: The diffusion coefficient calculation unit is used based on the total mean square displacement, using the formula Calculate the diffusion coefficient of melted red mud into fibers; The viscosity coefficient theoretical value calculation unit is used to calculate the viscosity coefficient based on the diffusion coefficient using the formula Calculate the theoretical value of the viscosity coefficient of melted red mud into fibers; Where D represents the diffusion coefficient of melt-fractionated red mud fiber, η represents the viscosity coefficient of melt-fractionated red mud fiber, K b represents the Bolsmann constant, T represents the temperature, λ represents the average diffusion distance of the diffused ions, λ=2R, R represents the average radius of the diffused ions, t represents the time, represents the total mean square displacement, r i(t) represents the position vector of ion i at time t, r i(0) represents the position vector of ion i at time 0, and N represents the number of ions; The relationship model is: η=a+br; Among them, η and r are the viscosity coefficient and fiber radius of the melted red mud fiber, respectively, and a and b represent the constant term coefficient and the linear term coefficient of the relationship model, respectively.

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