28 Result(s)
within
M. Vynnycky
English
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Article
An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy–Stefan problem
In this paper, a recent algorithm, based around the method of fundamental solutions (MFS), for reconstructing boundary data in inverse Stefan problems is extended and applied to inverse Cauchy–Stefan problems,...
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Article
On the significance of sulphuric acid dissociation in the modelling of vanadium redox flow batteries
A recent asymptotic model for the operation of a vanadium redox flow battery (VRFB) is extended to include the dissociation of sulphuric acid—a bulk chemical reaction that occurs in the battery’s porous flow-t...
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Article
Open AccessOn longitudinal electromagnetic stirring in the continuous casting of steel blooms
Recent work highlighting an anomaly in the modelling of rotary electromagnetic stirring (EMS) in the continuous casting of round steel billets is extended to the case of longitudinal stirring for rectangular b...
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Article
On the modelling of joint formation in dissolutive brazing processes
In this paper, earlier dissolutive wetting models describing the dynamics of an axisymmetric alloy drop spreading on pure metal substrate are extended to describe reactive wetting and subsequent joint formatio...
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Article
Numerical Simulation of Brazing Aluminium Alloys with Al–Si Alloys
Joining parts using low-melting temperature alloys has long been used for manufacturing complex components such as heat exchangers made of aluminium alloys. Investigations of the process have shown that core/c...
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Article
Experimental and numerical CHT-investigations of cooling structures formed by lost cores in cast housings for optimal heat transfer
This paper investigates the cooling performance of six different lost core designs for automotive cast houses with regard to their cooling efficiency. For this purpose, the conjugate heat transfer (CHT) solver, c...
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Article
Open AccessOn an Anomaly in the Modeling of Electromagnetic Stirring in Continuous Casting
Early, yet still often-cited, mathematical models for electromagnetic stirring (EMS) in continuous casting are re-examined and found to contain a surprising anomaly: the solutions obtained were not unique. Ana...
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Article
On the interactive effects of mould taper and superheat on air gaps in continuous casting
The formation of an air gap in continuous casting systems is detrimental to the process efficiency as it acts to thermally insulate the cast from the water-cooled mould. By tapering the mould wall, the thermal...
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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...
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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
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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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
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
Erratum to: Evaporative cooling and the Mpemba effect
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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
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...
