Petr Nikrityuk is a Full Professor at the Department of Chemical and Materials Engineering, the University of Alberta (UofA), Canada. Professor Nikrityuk's research and teaching areas are computational heat and mass transfer in multiphase systems referring to heat and energy storage (E2C) technologies, including high-temperature conversion of materials. Having obtained his academic degrees from Moscow Aviation Institute (MAI), he spent most of his career working in Germany before taking up his present appointment at UofA. He holds a Habilitation Degree from TU Bergakademie Freiberg (Freiberg University of Mining and Technology, Germany) on the topic of computational thermo-fluid dynamics in material science and engineering. Before taking his current position at the University of Alberta, Petr Nikrityuk was the head of the research group 'Interphase Phenomena' within the Center for Innovation Competence VIRTUHCON (Virtual High Temperature Conversion) at the TU Bergakademie Freiberg (Germany) in the Department of Energy Process Engineering and Chemical Engineering. In 2016 and 2019 Petr was awarded the University of Alberta Faculty of Engineering Undergraduate Teaching Award. In 2024 Petr was awarded the Jules Stachiewicz Medal from Chemical Institute of Canada for his contributions in the field of heat transfer, including design, research, manufacturing and teaching. In 2025 Petr was awarded Engineering Graduate Teaching Award in recognition of excellence in Graduate Teaching within the University of Alberta Faculty of Engineering..

• 1. THE ROLE OF MODELING IN MODERN ENGINEERINGGoals of modelingAdvantages and disadvantages of modelingRules of modeling in EngineeringRules of programing in Engineering2. MODELING OF PHASE CHANGE PHENOMENA IN ENGINEERING: MAIN CONCEPTSMixture ModelsEuler-Eulerbased ModelsEuler Lagrange Models: from phases resolved to unresolved modelsScales-bridging for Euler-Lagrange models3. PHASE CHANGE PHENOMENA IN MATERIALS ENGINEERINGApplications: Materials, Heat Storage, Environmental Science, Chemical EngineeringFundamentals and Examples with solutions:melting of ice in air and waterfreezing of water in cavities (lakes)freezing of flows in tubessolidification of alloys in cavities3D printing: solidification of dropletsfreezing/melting inside PCM capsulesmodeling of fixed beds ? heat storagesubmodels for Euler-Lagrange modeling of metal alloys solidification4. PHASE CHANGE PHENOMENA IN CHEMICAL ENGINEERINGApplications: -High Temperature Conversion of Materials, Energy to ChemicalsFundamentals and Examples with solutions:Introduction of the Stefan flow: evaporation of water dropletsDrying of Solid Carbonaceous Particles: from entrained flows to fixed bedsDevolatilisation of Carbonaceous Particles: from entrained flows to fixed bedsOxidation of Carbonaceous Particles: from entrained flow to fixed bedsGasification of Nonporous Carbonaceous ParticlesGasification of Porous Carbonaceous ParticlesMelting and solidification of moving ash particles and agglomeratesREFERENCESAPPENDIX

Petr Nikrityuk is a Full Professor at the Department of Chemical and Materials Engineering, the University of Alberta (UofA), Canada. Professor Nikrityuk's research and teaching areas are computational heat and mass transfer in multiphase systems referring to heat and energy storage (E2C) technologies, including high-temperature conversion of materials. Having obtained his academic degrees from Moscow Aviation Institute (MAI), he spent most of his career working in Germany before taking up his present appointment at UofA. He holds a Habilitation Degree from TU Bergakademie Freiberg (Freiberg University of Mining and Technology, Germany) on the topic of computational thermo-fluid dynamics in material science and engineering. Before taking his current position at the University of Alberta, Petr Nikrityuk was the head of the research group 'Interphase Phenomena' within the Center for Innovation Competence VIRTUHCON (Virtual High Temperature Conversion) at the TU Bergakademie Freiberg (Germany) in the Department of Energy Process Engineering and Chemical Engineering. In 2016 and 2019 Petr was awarded the University of Alberta Faculty of Engineering Undergraduate Teaching Award. In 2024 Petr was awarded the Jules Stachiewicz Medal from Chemical Institute of Canada for his contributions in the field of heat transfer, including design, research, manufacturing and teaching. In 2025 Petr was awarded Engineering Graduate Teaching Award in recognition of excellence in Graduate Teaching within the University of Alberta Faculty of Engineering..

• 1. THE ROLE OF MODELING IN MODERN ENGINEERINGGoals of modelingAdvantages and disadvantages of modelingRules of modeling in EngineeringRules of programing in Engineering2. MODELING OF PHASE CHANGE PHENOMENA IN ENGINEERING: MAIN CONCEPTSMixture ModelsEuler-Eulerbased ModelsEuler Lagrange Models: from phases resolved to unresolved modelsScales-bridging for Euler-Lagrange models3. PHASE CHANGE PHENOMENA IN MATERIALS ENGINEERINGApplications: Materials, Heat Storage, Environmental Science, Chemical EngineeringFundamentals and Examples with solutions:melting of ice in air and waterfreezing of water in cavities (lakes)freezing of flows in tubessolidification of alloys in cavities3D printing: solidification of dropletsfreezing/melting inside PCM capsulesmodeling of fixed beds ? heat storagesubmodels for Euler-Lagrange modeling of metal alloys solidification4. PHASE CHANGE PHENOMENA IN CHEMICAL ENGINEERINGApplications: -High Temperature Conversion of Materials, Energy to ChemicalsFundamentals and Examples with solutions:Introduction of the Stefan flow: evaporation of water dropletsDrying of Solid Carbonaceous Particles: from entrained flows to fixed bedsDevolatilisation of Carbonaceous Particles: from entrained flows to fixed bedsOxidation of Carbonaceous Particles: from entrained flow to fixed bedsGasification of Nonporous Carbonaceous ParticlesGasification of Porous Carbonaceous ParticlesMelting and solidification of moving ash particles and agglomeratesREFERENCESAPPENDIX

Petr Nikrityuk is a Full Professor at the Department of Chemical and Materials Engineering, the University of Alberta (UofA), Canada. Professor Nikrityuk's research and teaching areas are computational heat and mass transfer in multiphase systems referring to heat and energy storage (E2C) technologies, including high-temperature conversion of materials. Having obtained his academic degrees from Moscow Aviation Institute (MAI), he spent most of his career working in Germany before taking up his present appointment at UofA. He holds a Habilitation Degree from TU Bergakademie Freiberg (Freiberg University of Mining and Technology, Germany) on the topic of computational thermo-fluid dynamics in material science and engineering. Before taking his current position at the University of Alberta, Petr Nikrityuk was the head of the research group 'Interphase Phenomena' within the Center for Innovation Competence VIRTUHCON (Virtual High Temperature Conversion) at the TU Bergakademie Freiberg (Germany) in the Department of Energy Process Engineering and Chemical Engineering. In 2016 and 2019 Petr was awarded the University of Alberta Faculty of Engineering Undergraduate Teaching Award. In 2024 Petr was awarded the Jules Stachiewicz Medal from Chemical Institute of Canada for his contributions in the field of heat transfer, including design, research, manufacturing and teaching. In 2025 Petr was awarded Engineering Graduate Teaching Award in recognition of excellence in Graduate Teaching within the University of Alberta Faculty of Engineering..

• 1. THE ROLE OF MODELING IN MODERN ENGINEERINGGoals of modelingAdvantages and disadvantages of modelingRules of modeling in EngineeringRules of programing in Engineering2. MODELING OF PHASE CHANGE PHENOMENA IN ENGINEERING: MAIN CONCEPTSMixture ModelsEuler-Eulerbased ModelsEuler Lagrange Models: from phases resolved to unresolved modelsScales-bridging for Euler-Lagrange models3. PHASE CHANGE PHENOMENA IN MATERIALS ENGINEERINGApplications: Materials, Heat Storage, Environmental Science, Chemical EngineeringFundamentals and Examples with solutions:melting of ice in air and waterfreezing of water in cavities (lakes)freezing of flows in tubessolidification of alloys in cavities3D printing: solidification of dropletsfreezing/melting inside PCM capsulesmodeling of fixed beds ? heat storagesubmodels for Euler-Lagrange modeling of metal alloys solidification4. PHASE CHANGE PHENOMENA IN CHEMICAL ENGINEERINGApplications: -High Temperature Conversion of Materials, Energy to ChemicalsFundamentals and Examples with solutions:Introduction of the Stefan flow: evaporation of water dropletsDrying of Solid Carbonaceous Particles: from entrained flows to fixed bedsDevolatilisation of Carbonaceous Particles: from entrained flows to fixed bedsOxidation of Carbonaceous Particles: from entrained flow to fixed bedsGasification of Nonporous Carbonaceous ParticlesGasification of Porous Carbonaceous ParticlesMelting and solidification of moving ash particles and agglomeratesREFERENCESAPPENDIX