Method for calculating bubble trajectory and penetration depth during side-blowing gas stirring

Abstract

The present application discloses a method for calculating the motion trajectory and penetration depth of bubbles in a side-blowing gas stirring process, the steps comprising: performing a force analysis on a single bubble to obtain a force analysis result; correcting the force analysis result and obtaining the motion trajectory of the bubble based on the corrected result; arranging spray guns around a side-blowing stirring reactor based on the motion trajectory so that the side-blowing stirring reactor achieves an optimal stirring effect when the spray guns blow in opposite directions; obtaining the penetration depth S of the bubble based on the arrangement of the bubble and the spray gun. 穿透 By analyzing the movement trajectory and penetration depth of bubbles, this application can further explore the arrangement of the spray gun and the distribution state of the gas-liquid two-phase inside the agitator, and explore the factors affecting the stirring effect; this application can also be applied to the gas-liquid-solid multiphase mixing and stirring process and study the influence of factors such as the distance of the side-blowing spray gun, the jet volume of the side-blowing spray gun, and the jet angle of the side-blowing spray gun on the stirring effect.

Description

Technical Field

[0001] The present application relates to the technical field of gas-liquid mixing in metallurgical molten pools, and in particular to a method for calculating bubble motion trajectories and penetration depths during side-blowing gas stirring. Background Art

[0002] The molten pool smelting process is typically stirred through air blowing. Three smelting methods are categorized as top blowing, bottom blowing, and side blowing, depending on the furnace type and the location of the air blowing. Air blowing agitation is intended to improve the uniformity of mixing between the gas-liquid-solid phases within the molten pool and increase the reaction rate. Taking side blowing as an example, since the high temperatures in the actual process are unpredictable, understanding the state and characteristics of the gas-liquid mixing within a side-blown stirred reactor, and then drawing analogies with industrial processes, is of great significance for practical production.

[0003] Current research on side-blowing agitation primarily involves numerical simulation and physical simulation. Numerical simulations employ software such as FLUENT and COMSOL to simulate flow fields, such as VOF jets. Physical simulations typically investigate multiphase mixing processes by establishing water models. However, these studies all operate from a macroscopic perspective and fail to analyze the trajectory and penetration depth of bubble clusters from the perspective of individual bubbles. Summary of the Invention

[0004] This application utilizes a side-blown stirred reactor, force analysis, and experiments to determine the lance position, bubble trajectory, and penetration depth during the side-blown gas stirring process. This allows for a deeper understanding of the bubble motion during the gas-liquid mixing process and the determination of the optimal lance placement.

[0005] To achieve the above objectives, the present application discloses a method for calculating bubble motion trajectory and penetration depth during side-blowing gas stirring, the steps comprising:

[0006] Perform force analysis on a single bubble to obtain force analysis results;

[0007] Correcting the force analysis result, and obtaining the motion trajectory of the bubble according to the corrected result;

[0008] According to the motion trajectory, spray guns are arranged around the side-blown stirred reactor so that when the spray guns blow in opposite directions, the side-blown stirred reactor achieves an optimal stirring effect;

[0009] The penetration depth of the air bubbles is obtained according to the arrangement of the air bubbles and the spray gun.

[0010] Preferably, the force analysis results include: vertical resistance F 阻1 , horizontal resistance F 阻2 Buoyancy F 浮and the gravity F 重 .

[0011] Preferably, the method for correcting the result of the force analysis includes: correcting the result of the force analysis of a single bubble in combination with the movement law of the liquid phase around the gas phase.

[0012] Preferably, the method for obtaining the movement trajectory includes:

[0013] Theoretical analysis shows that in the horizontal direction of the bubble, there is: F 阻2 = ma1; where F 阻2 is the resistance in the horizontal direction, m is the gravity of a single bubble, and a1 is the acceleration of a single bubble in the horizontal direction;

[0014] In the vertical direction, there is F 浮 -F 重 -F 阻1 = ma2; S 穿透 = vt - a1t, From this, the movement trajectory is determined. Where m is the gravity of a single bubble, a2 is the acceleration of a single bubble in the vertical direction, S 穿透 is the penetration depth in the horizontal direction of the bubbles ejected by the lower spray gun, v is the initial velocity of the bubbles, t is the movement time of the bubbles, a1 is the acceleration of a single bubble in the horizontal direction, and H is the movement height of the bubbles in the vertical direction.

[0015] Preferably, the method for arranging the spray guns includes: arranging three spray guns on each of the left and right sides of the side-blown stirring reactor; the three spray guns are distributed in a "pin" shape.

[0016] Preferably, the method for arranging the three spray guns includes:

[0017] First, determine the positions of the two lower spray guns in the "pin" shape arrangement;

[0018] According to the movement trajectory, adjust the position and air intake of the upper spray gun so that

[0019] S 穿透’ = 1 / 2S 穿透

[0020] Where S 穿透’ is the penetration depth in the horizontal direction of the bubbles ejected by the upper spray gun, and S 穿透 is the penetration depth in the horizontal direction of the bubbles ejected by the lower spray gun;

[0021] Make the distance between the upper spray gun and the horizontal plane where the lower spray gun is located be Where h is the distance between the upper spray gun and the horizontal plane where the lower spray gun is located, and L is the length of the stirring reactor.

[0022] Preferably, the method for achieving the best stirring effect includes: when the spray gun is blowing, ensuring L=2S 穿透 , where L is the length of the stirred reactor, S 穿透 It is the horizontal penetration depth of the bubbles sprayed from the lower spray gun.

[0023] Preferably, the method for obtaining the penetration depth includes: drawing a vertical line downward from the midpoint of the position where the bubble overflows the liquid surface, and the distance between the vertical line and the nozzle of the spray gun is the penetration depth.

[0024] Compared with the prior art, this application has the following beneficial effects:

[0025] By analyzing the movement trajectory and penetration depth of bubbles, this application can further explore the arrangement of the spray gun and the distribution state of the gas-liquid two phases inside the agitator, and explore the factors affecting the stirring effect; this application can also be applied to the gas-liquid-solid multiphase mixing and stirring process and study the influence of factors such as the distance of the side-blowing spray gun, the jet volume of the side-blowing spray gun, and the jet angle of the side-blowing spray gun on the stirring effect. BRIEF DESCRIPTION OF THE DRAWINGS

[0026] In order to more clearly illustrate the technical solution of the present application, the following briefly introduces the drawings required for use in the embodiments. Obviously, the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative labor.

[0027] Figure 1 This is a flowchart of the application method;

[0028] Figure 2 This is a schematic diagram of the bubble motion trajectory and force analysis of this application;

[0029] Figure 3 This is a schematic diagram of the structure of the side-blown stirred reactor of this application;

[0030] Figure 4 Schematic cross-sectional view of the side-blown stirred reactor in the present application along the AA' direction. DETAILED DESCRIPTION

[0031] The following will be combined with the drawings in the embodiments of this application to clearly and completely describe the technical solutions in the embodiments of this application. Obviously, the embodiments described are only part of the embodiments of this application, not all of the embodiments. Based on the embodiments in this application, all other embodiments obtained by ordinary technicians in this field without making creative efforts are within the scope of protection of this application.

[0032] In order to make the above-mentioned purposes, features and advantages of the present application more obvious and easy to understand, the present application is further described in detail below with reference to the accompanying drawings and specific implementation methods.

[0033] like Figure 1 The following is a flow chart of the method of the present application, including the following steps:

[0034] S1. Perform force analysis on a single bubble to obtain force analysis results.

[0035] like Figure 2 As shown, firstly, a force analysis is performed on a single bubble. The force analysis results include: vertical resistance F 阻1 , horizontal resistance F 阻2 Buoyancy F 浮 and gravity F 重 .

[0036] S2. Correct the force analysis results and obtain the bubble's motion trajectory based on the corrected results.

[0037] The force analysis result of a single bubble is corrected in combination with the motion law of the liquid phase around the gas phase; and finally, a motion trajectory is obtained according to the corrected force analysis result, the method comprising:

[0038] Theoretical analysis shows that the bubbles exist in the horizontal direction: F 阻2 =ma1; where F 阻2 is the horizontal resistance, m is the gravity of a single bubble, and a1 is the horizontal acceleration of a single bubble.

[0039] There is F in the vertical direction 浮 -F 重 -F 阻1 =ma2;S 穿透 =Vt-a1t, The motion trajectory is thus determined, where m is the gravity of a single bubble, a2 is the acceleration of a single bubble in the vertical direction, and S 穿透 is the horizontal penetration depth of the bubble ejected from the lower spray gun, v is the initial velocity of the bubble, t is the movement time of the bubble, a1 is the horizontal acceleration of a single bubble, and H is the vertical movement height of the bubble (the straight-line distance from the bubble outlet to the liquid surface).

[0040] Then, we designed an experiment to verify the accuracy of the motion trajectory obtained above:

[0041] In the initial state of the experiment, there were only reactants (liquid) in the stirred reactor, and the liquid level was 2 / 3 of the height of the stirred reactor. The air pump was started to blow and stir it; then, a high-speed camera was used to shoot from the front, and the obtained image was binarized.

[0042] Search for the center of the bubble in the image, connect them in sequence from left to right, and compare the obtained curve with the theoretical bubble movement trajectory. If the distance between the intersections of the two movement trajectories and the liquid surface is 0 - 30 mm, it is considered that the calculation is reasonable.

[0043] S3. According to the movement trajectory, arrange the spray guns around the side - blown stirring reactor so that when the spray guns blow against each other, the side - blown stirring reactor achieves the best stirring effect.

[0044] After that, it is necessary to arrange the spray guns around the side - blown stirring reactor according to the above - obtained bubble movement trajectory. As shown in Figure 3 and Figure 4 This is a schematic structural diagram of the side - blown stirring reactor used in this embodiment. Among them, the length of the side - blown stirring reactor structure is 700 - 800 mm, the width is 30 - 40 mm, and the height is 40 - 50 mm. The method of arranging three spray guns includes: first, arrange three spray guns on each of the left and right sides of the side - blown stirring reactor; the three spray guns are distributed in a "pin" shape; during the process of determining the spray guns arranged in a "pin" shape, first determine the positions of the two lower - layer spray guns; then, according to the above - obtained bubble movement trajectory, adjust the position and air intake of the upper - layer spray gun so that

[0045] S 穿透 ’ = 1 / 2S 穿透

[0046] In the formula, S 穿透’ is the penetration depth of the bubbles ejected by the upper - layer spray gun in the horizontal direction, and S 穿透 is the penetration depth of the bubbles ejected by the lower - layer spray gun in the horizontal direction; finally, the distance between the upper - layer spray gun and the horizontal plane where the lower - layer spray gun is located is In the formula, h is the distance between the upper - layer spray gun and the horizontal plane where the lower - layer spray gun is located, and L is the length of the stirring reactor. In this embodiment, the diameter of the spray gun nozzle is 4 - 10 mm, the distance between the nozzle of the lowest - row spray gun and the bottom of the side - blown stirring reactor is 7 - 10 mm, the distance between the centers of the two spray guns is 10 - 13 mm, and the distance between the air outlet of the spray gun and the wall surface where it is located is 2 - 5 mm. During the arrangement process, ensure that when the two spray guns blow against each other, L = 2S 穿透 , so as to achieve the best stirring effect.

[0047] S4. Obtain the penetration depth of the bubbles according to the arrangement of the bubbles and the spray guns.

[0048] Finally, obtain the movement trajectory of the bubbles according to the analysis results. At the same time, draw a perpendicular line downward from the mid - point of the position where the bubbles overflow the liquid surface, and the distance between this perpendicular line and the nozzle of the spray gun is defined as the penetration depth of the bubbles.

[0049] The embodiments described above are merely descriptions of the preferred embodiments of the present application and do not limit the scope of the present application. Without departing from the design spirit of the present application, various modifications and improvements made to the technical solutions of the present application by ordinary technicians in this field should fall within the scope of protection determined by the claims of the present application.

Claims

1. A method for calculating the bubble trajectory and penetration depth during side-blowing gas stirring, characterized in that the steps Comprising: Performing a force analysis on a single bubble to obtain a force analysis result; correcting the force analysis result and obtaining the movement trajectory of the bubble according to the corrected result; According to the movement trajectory, arranging spray guns around the side-blown stirring reactor so that when the spray guns blow against each other, the side-blown stirring reactor achieves the best stirring effect; Obtaining the penetration depth of the bubble according to the arrangement of the bubble and the spray gun; The force analysis results include: vertical resistance F 阻1 , horizontal resistance F 阻2 Buoyancy F 浮 and gravity F 重 ; The method for obtaining the movement trajectory includes: Theoretical analysis shows that the bubbles exist in the horizontal direction: F 阻2 =ma1; where F 阻2 is the horizontal resistance, m is the gravity of a single bubble, and a1 is the acceleration of a single bubble in the horizontal direction; There is F in the vertical direction 浮 -F 重 -F 阻1 =ma2;S 穿透 =vt-a1t,H= a2t 2 , thereby determining the motion trajectory, where m is the gravity of a single bubble, a2 is the acceleration of a single bubble in the vertical direction, S 穿透 is the horizontal penetration depth of the bubbles ejected from the lower spray gun, v is the initial velocity of the bubbles, t is the movement time of the bubbles, a1 is the horizontal acceleration of a single bubble, and H is the vertical movement height of the bubbles; The method to achieve the best stirring effect includes: when the spray gun is blowing, ensure L=2S 穿透 , where L is the length of the stirred reactor, S 穿透 It is the horizontal penetration depth of the bubbles sprayed from the lower spray gun.

2. The method for calculating bubble motion trajectory and penetration depth during side-blowing gas stirring according to claim 1, characterized in that: The method for correcting the force analysis result includes: correcting the force analysis result of a single bubble in combination with the movement law of the liquid phase around the gas phase.

3. The method for calculating bubble motion trajectory and penetration depth during side-blowing gas stirring according to claim 1 is characterized in that: The method for arranging the spray guns includes: arranging three spray guns on each of the left and right sides of the side-blown stirring reactor; the three spray guns are distributed in a "pin" shape.

4. The method for calculating bubble motion trajectory and penetration depth during side-blowing gas stirring according to claim 3, characterized in that: The method for arranging the three spray guns includes: First determining the positions of the two lower spray guns in the "pin" shape arrangement of the spray guns; Adjusting the position and air intake of the upper spray gun according to the movement trajectory so that S 穿透’ =1 / 2S 穿透 Where S 穿透’ S is the horizontal penetration depth of the bubbles ejected from the upper layer, 穿透 It is the horizontal penetration depth of the bubbles sprayed by the lower spray gun; The distance between the upper spray gun and the lower spray gun is h= L, where h is the distance between the upper spray gun and the lower spray gun, and L is the length of the stirred reactor.

5. The method for calculating bubble motion trajectory and penetration depth during side-blowing gas stirring according to claim 1, characterized in that: The method for obtaining the penetration depth includes: making a perpendicular line downward from the midpoint of the position where the bubble overflows the liquid surface, and the distance from the perpendicular line to the nozzle of the spray gun is the penetration depth.

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