andrey a. taratorin speacker’s ainur b. mukhametov · mathematical modeling of aerodynamics...

Moscow, Russia14-17 April, 2020

Authors:Andrey A. TaratorinAinur B. Mukhametov

National Research University «MPEI»

Speacker’sPhoto

Presenter:AndreyTaratorin

National Research University «MPEI»

Usage of 3D Modeling in Engineering Education on the Example of the Noise Silencers Development

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Using 3D modeling technologies in educationthe following opportunities appear:• visualization of parts and assemblies in space;

• holistic analysis of problems from related fields inrelation the same product;

• development and analysis of complex structures;

• development of abstract and logical thinking of thestudent.



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Here on the example of designs of noise silencers for the powerequipment considered the solution of the following tasks:• development of plate silencer from part design to complex

assembly;

• modeling and aerodynamic optimization of plate silencer;

• simulation of temperature conditions of silencer materials;

• modeling of strains and determination of strengthcharacteristics of the structure.



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Model of silencers developmentShown an example of a plate dissipative silencer installed in thegas path of the boiler unit behind the exhaust fan. The solutionof the problem allows the student:• to learn the basics of the process of creating computer 3D

models using previously acquired knowledge and determinethe mass characteristics of the model;

• to solve design problems by changing and scaling the designof the prototype;

• to make the choice of plate dissipative silencer’s steel toavoid corrosion.



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Model of silencers development



First of all, a framework of plates fromstandard profiles with cells for theplacement of silencer cassettes isdeveloped. Subsequently, developing thedesign of the cassette.In this example, the cassette filled withsound-absorbing material that protectedfrom blowing out with fiberglass andperforated steel sheets on the sides. Thecassette also has its own frame, which ismade of sheet metal. In order to reduceaerodynamic resistance, installed inputand output fairings on the plate frame.

fairings sound-absorbing material

framework of plates

perforated sheet

final assembly of the plate

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Aerodynamics studding of the silencerThe student, depending on this topic of work, may modeling thegas flow at the place of the noise silencer installation.

The solution of this task allows the student:

• to determine the aerodynamic drag of the silencer;

• to optimize design of the dissipative silencer in order to reduceaerodynamic drag.



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Aerodynamics studding of the silencer



To solve first problem, just developedmodel of a plate of silencer with cylindricalfairings is used. Mathematical modeling ofthe gas flow carried out in order todetermine the aerodynamic drag.Mathematical modeling of aerodynamicscarried out using finite element analysis, inwhich the computational domain dividedinto separate elements, and a system ofNavier-Stokes differential equations issolving for them by reduction to a systemof linear algebraic equations. In thisexample, the calculated aerodynamicresistance of the silencers is 61 Pa.

flow direction

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Aerodynamics studding of the silencer



Optimization of the design of the silencershown on the example of the study ofpossible forms of plates to reduceaerodynamic resistance. This task involvesthe research potential of the student. Inorder to reduce the aerodynamic drag ofthe silencer, it is proposed to install awedge-shaped outlet fairings, whichreduces the aerodynamic resistance of thesilencer. The simulation results show thatthe modernization of the design of theplate silencer allows achieving a decreasein aerodynamic resistance by 16.4% from61 to 51 Pa.

flow direction

9Moscow, Russia

14-17 April, 2020


In this case, the calculated standard wind loaddetermined for Moscow region. Its value is441 Pa. As initial data specified forces actingon the barrier and the fixed points. Materialsassigned to all elements of the calculationmodel. According to the calculation results, itis possible to construct diagrams of themargin of safety, stresses, displacements,relative deformation, and fatiguecharacteristics of the material. The maximumvalue of the equivalent strain was 103 MPa,and the maximum value of the displacementof the upper edge of the barrier according tothe simulation results was 40 mm.

Strength calculation of silencers elements

noise source side

fixed points

wind load

10Moscow, Russia

14-17 April, 2020


The temperature conditions calculationThe initial data are the temperature of the fluegases, the initial temperature of all elements(30°C) and the coefficient of heat transfer to theenvironment (25 W/m2K). In solving theproblem, a transition process is simulated.Figure shows the initial model and thetemperature change in the structural elementsafter a time interval of 10,000 s. The timeinterval selected based on the conditions forachieving a stationary state of the system atwhich the temperature of the elements stops tochange. The results obtained allow to concludethat it is necessary to use high alloy steel for themanufacture of perforated sheets and fasteners.

perforatedsheet

heat flowfrom gases

heat flow to the environment

sound-absorbing material

570°C

20°C

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Conclusion• Substantiated the expediency of using 3D modeling

technologies in the educational process;• Shown the possibility of a complex solution to problems in

specialized programs from various fields of engineeringknowledge. Information technology for modeling forms astudent's systematic understanding of the tasks andproblems of research;

• Shown the possibility of transforming an educational studytask into a scientific one using 3D modeling technologies.



Thank you for attention!Speacker’s contacts:

AndreyTaratorin

National Research University «MPEI»[email protected]

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andrey a. taratorin speacker’s ainur b. mukhametov · mathematical modeling of aerodynamics...

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