On One Nonlinear Mathematical Model for Intensive Steel Quenching and Its Analytical Solution in Closed Form

Guseynov, Sharif E.; Rimshans, Janis; Kobasko, N. I.

doi:10.1007/978-3-642-12110-4_137

Cited by 8 publications

(3 citation statements)

References 4 publications

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“…Mathematicians Prof. Buikis, Prof. Guseynov and their colleagues paid serious attention to solving hyperbolic heat conductivity equations with the appropriate boundary conditions responsible for transient nucleate boiling processes [23][24][25][26][27]. Now, engineers and metallurgists are looking forward to obtaining practical data, based on the hyperbolic equation, to be easily used for recipes development for different configuration of steel parts during quenching.…”

Section: Discussionmentioning

confidence: 99%

Designing of Advanced and Original Austempering Processes Based on Thermal Science and Engineering Physics Approaches

Kobasko¹

2016

EUREKA: Physics and Engineering

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In the paper, a small concentration of inverse solubility polymers in water and other liquid media is recommended to eliminate film boiling by means of reducing initial heat flux density. Quenching steel parts and tools in a small concentration of water solutions under pressure allows performing austempering process just using cold liquids. Its essence consists in coinciding martensite start temperature MS with the average temperature of self-regulated thermal process during nucleate boiling mode and further immediate transferring steel parts for tempering at the temperature which exceeds value MS. The new technology increases the service life of austempered workpieces by more than two times, saves alloy elements, is suitable for larger metallic components, improves environmental conditions, since instead of melted salts and alkali, plain water and water salt solutions can be used. The new austempering process can be used in forging shops to obtain super-strengthened materials in order to switch from alloy steel to plain carbon steels. And it can be also widely used for obtaining nano - bainitic structure in plain carbon steels resulting in saving alloy elements and improving mechanical characteristics of materials.

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Section: Discussionmentioning

confidence: 99%

Designing of Advanced and Original Austempering Processes Based on Thermal Science and Engineering Physics Approaches

Kobasko¹

2016

EUREKA: Physics and Engineering

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“…For the first time, hyperbolic heat conductivity Eq. ( 4) with the appropriate boundary and initial conditions was solved analytically by authors [6] and it was shown that initial heat flux density is finite value which can be far below the first critical heat flux density q cr1 . It means that the film boiling process is absent completely when quenching steel parts from high temperatures in cold fluids.…”

Section: Finite Initial Heat Flux Density To Be Compared With Its Cri...mentioning

confidence: 99%

Heat Transfer Fundamentals Concerning Quenching Materials in Cold Fluids

Kobasko

2024

Heat Transfer - Advances in Fundamentals and Applications

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The current chapter discusses three principles of heat transfer related to transient nucleate boiling process when any film boiling during quenching is completely absent. They include the duration of nucleate boiling establishment, surface temperature behavior during self-regulated thermal process, and generalized fundamental equation for evaluation of transient nucleate boiling length. In fact, majority of authors in their analytical and experimental investigations always considered three classical heat transfer modes: film boiling, nucleate boiling, and convection. It is shown in the chapter that the absence of film boiling process simplifies numerical and analytical calculations. It is very important to know that mentioned principles can be used for calculation of temperature fields and stresses and development of new technologies without performing costly experiments. Such an approach can be used for measuring different forms and sizes of quenched steel parts. It is stated that universal correlation for heating and cooling time evaluation, modified by proposed principles, can be widely used for recipes development when exploring new intensive quenching technologies. Examples of calculations are provided.

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“…More information on solving hyperbolic heat conductivity equations with non-linear boundary conditions during quenching one can find in published literature [18]- [20].…”

Section: Film and Nucleate Boiling Processes During Quenchingmentioning

confidence: 99%

Analysis of Transient Boiling Processes during Steel Quenching in Water PAG Solutions to Decrease Distortion

Kobasko¹,

Moskalenko

2021

EJPHYSICS

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The paper discusses results of testing standard cylindrical probe 12.5 mm diameter in water polymer solutions which was additionally instrumented with a surface thermocouple. It is shown that central thermocouple cannot depict many physical phenomena taking place during quenching in polymer solutions such as shoulder formation, self- regulated thermal process establishing, surface temperature transient from film boiling to nucleate boiling process. Moreover, it is shown that experimental data depicted by central thermocouple cannot be used for solving inverse problem to analyze quenching process in liquid media. Along with analyzing film and nucleate boiling processes during quenching, the paper discusses the possibility of quality quench process control via using sonar system. It is established an equation for evaluating duration of transient nucleate boiling process. As an example, the cooling characteristics of fresh and old polyalkylene glycol (PAG) polymer solutions are analyzed. It is shown that with passing time the critical heat flux density of polymer decreases and inverse solubility effect disappears. That is while the method and apparatus were developed to control in industrial condition the quality of quenched steel parts during hardening in liquid media.

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On One Nonlinear Mathematical Model for Intensive Steel Quenching and Its Analytical Solution in Closed Form

Cited by 8 publications

References 4 publications

Designing of Advanced and Original Austempering Processes Based on Thermal Science and Engineering Physics Approaches

Designing of Advanced and Original Austempering Processes Based on Thermal Science and Engineering Physics Approaches

Heat Transfer Fundamentals Concerning Quenching Materials in Cold Fluids

Analysis of Transient Boiling Processes during Steel Quenching in Water PAG Solutions to Decrease Distortion

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