14 Result(s)
within
M. Vynnycky
Mathematics
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
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
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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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
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
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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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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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
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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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
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...
