28 Result(s)
within
M. Vynnycky
English
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Chapter
Coupled Heat and Mass Transfer in a Weld Pool
A mathematical model is proposed for coupled laminar high Reynolds (Re) number shear-driven flow and high Péclet (Pe) number heat flow in a semi-circular tungsten inert gas (TIG) weld pool. The fluid flow within ...
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Article
On the uniform vorticity in a high Reynolds number flow
A method is proposed for determining the value of the uniform vorticity (ω0) in the inviscid region of a high Reynolds number (Re) flow with closed streamlines. An asymptotic treatment of the area integral of the...
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Article
Concerning closed-streamline flows with discontinuous boundary conditions
High-Reynolds-number (Re) flow containing closed streamlines (Prandtl-Batchelor flows), within a region enclosed by a smooth boundary at which the boundary conditions are discontinuous, is considered. In spite...
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Article
Oxidation-induced stresses in the isolation oxidation of silicon
The two-dimensional isolation oxidation of silicon is studied in the reaction-controlled limit, which corresponds to the case of initially thin oxides. This limit is both of physical relevance and one of the f...
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Chapter and Conference Paper
Analysis of a Model for Twin-Wire Forming
A model for the dewatering of pulp suspension in the twin-blade forming papermaking process is formulated and analysed. The slenderness of the geometry permits reduction to a one-dimensional problem, which can...
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Article
Numerical and experimental study of the effect of gas evolution in electrolytic pickling
As part of a progressive approach to model the electrolytic pickling process, this paper focuses on the important aspect of hydrogen and oxygen gas evolution on the electrodes and on the steel strip being pick...
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Article
A note on electrolysis with forced convection at large peclet number in a channel and an excess of supporting electrolyte
Electrolysis of an aqueous solution of a metal salt with an excess of supporting electrolyte flowing in a two-dimensional channel is considered. The reaction kinetics is modeled by a Butler-Volmer law. The met...
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Chapter and Conference Paper
Electrochemical Pickling
Electrochemical pickling in the manufacture of stainless steel strips is characterized by simultaneous multi-ionic transport, driven by diffusion, migration and convection, heterogeneous electrochemical and ho...
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Article
Heat-flux measurements of industrial on-site continuous copper casting and their use as boundary conditions for numerical simulations
An embedded sensor, designed for rapid and accurate response times and using wireless data transmission, has been developed for the on-site measurement of temperatures in industrial continuous casting moulds. ...
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Article
A mathematical model for air-gap formation in vertical continuous casting: the effect of superheat
The formation of an air gap at the mould-metal interface in continuous casting has long been known to have a detrimental effect on the efficiency of the process, and has therefore attracted many attempts at ma...
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Article
Air gaps in vertical continuous casting in round moulds
A recent asymptotic thermomechanical model for the formation and evolution of air gaps in vertical continuous casting is extended from an idealized geometry to a cylindrical one that is of actual industrial re...
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Article
Evaporative cooling and the Mpemba effect
The Mpemba effect is popularly summarized by the statement that “hot water can freeze faster than cold”, and has been observed experimentally since the time of Aristotle; however, there exist almost no theoret...
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Article
Erratum to: Evaporative cooling and the Mpemba effect
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Article
Multiple bulk-reaction asymptotics and the electrochemical pickling of steel
Asymptotic methods are used to explore the role of multiple homogeneous chemical reactions, water protolysis, and the disassociation of sulfuric acid in a recent numerical model for the industrial electrochemi...
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Article
Mathematical Analysis of the Multisolution Phenomenon in the P3P Problem
The perspective 3-point problem, also known as pose estimation, has its origins in camera calibration and is of importance in many fields: for example, computer animation, automation, image analysis and roboti...
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Article
Non-isothermal hydrophobicity-dependent two-phase flow in the porous cathode gas diffusion layer of a polymer electrolyte fuel cell
In this paper, we extend a recent one-dimensional isothermal steady-state generalized Darcy model for two-phase flow in the porous cathode gas diffusion layer of a polymer electrolyte fuel cell, so as to inclu...
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Chapter and Conference Paper
Development of an asymptotics-based numerical model for the formation and evolution of air gaps in the vertical continuous casting of alloys
The formation of an air gap at the mould-metal interface in vertical continuous casting has long been known to have a detrimental effect on the efficiency of the process, and has therefore attracted many attem...
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Chapter and Conference Paper
Decoupling the Interaction of Solid and Fluid Mechanics in the Modelling of Continuous Casting Processes
The modelling of the continuous casting of metals is known to involve the complex interaction of non-isothermal fluid and solid mechanics. However, using asymptotic methods and an earlier numerical result obta...
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Chapter
Formation of the Tin Rich Layer and Inverse-Segregation in Phosphor Bronzes During Continuous Casting
Continuous casting of the phosphor bronzes has been investigated experimentally and analyzed with the help of a thermo-mechanical model. The microscopic investigation shows the spread of the tin rich liquid at...
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Article
An asymptotic model for the primary drying stage of vial lyophilization
Asymptotic methods are employed to analyse a commonly used one-dimensional transient model for coupled heat and mass transfer in the primary drying stage of freeze-drying (lyophilization) in a vial. Mathematic...
