Lectures:
Similarity, dimensional analysis, the Buckingham pi-theorem, Eigenson, van Driest formula. Dimensional analysis applications. Density of heat flow in a flat wall surface condition of the I. and III. kind. The coefficient of convective heat transfer in isothermal turbulent steady flow in the pipe. Convection heat transfer coefficient in the underdeveloped isothermal turbulent fluid flow in pipe. Temperature field in a plane wall with an internal volumetric heat release in boundary condition of the 1st and 3rd kind. Unsteady temperature field in a plane wall in boundary condition of the 3rd kind
Modelling, types of modelling - division according to various aspects. Mathematical modelling. Analogy of convection in the tube and molecular diffusion, criterion Sc, Sh, mass transfer coefficient. Hydraulic analogy. Physical modelling. Approximate modelling. Self-similarity. Velocity field and pressure drop in laminar flow and turbulent flow.
Steady heat conduction. Critical radius of the cylindrical wall, a critical radius of insulation. Temperature field and heat flux spherical wall - boundary condition of the 1st and 3rd kind. Temperature field and heat flow in a plane wall - thermal conductivity is a function of temperature. Temperature field plates and cylinders with an internal volumetric heat release. Heat conduction and infinite rod of finite length. Fin efficiency. 2D, 3D tasks. Analytical solutions – a method of separation of variables. Numerical solutions.
Unsteady heat conduction. Analytical solutions - a method of separation of variables. Solutions for complex body shapes. Numerical solutions, Differential method - explicit, implicit, Crank-Nicolson. The stability of explicit numerical methods.
Convective heat transfer. Analytical solutions.
Heat radiation. View factor - beam algebra.
Thermal processes in ladles at secondary metallurgy. Heat balance, influence of technological and design factors.
Solidification and cooling of continuous cast steel. Influence of particular parameters at heat removal in the mould. Heat removal in the secondary cooling zone.
Heat removal at rolling. Importance of particular mechanisms of heat transfer, controlled rolling.
Tutorials:
Overview of software tools that will be used for modelling (Excel, Matlab, Visual Basic for Excel, Pascal)
Models, based on the use of analytical solutions:
Model of the temperature profile in planar, cylindrical, and spherical walls
Modelling the critical radius of the cylindrical wall
-Modelling the critical radius of insulation
Modelling of heat removal by the fin
Numerical models using the finite difference method:
Stationary model of temperature field of a 2D object
Stationary model of temperature field CC mould wall
Stationary temperature field model of multi-layer wall of a furnace, including a corner
Stationary model of temperature field of the cylindrical wall
Transient model of temperature field of a planar wall
Test: derivation of formula for the temperature of the nodal point of the specified type
Checking of fulfilment of the solved examples
Similarity, dimensional analysis, the Buckingham pi-theorem, Eigenson, van Driest formula. Dimensional analysis applications. Density of heat flow in a flat wall surface condition of the I. and III. kind. The coefficient of convective heat transfer in isothermal turbulent steady flow in the pipe. Convection heat transfer coefficient in the underdeveloped isothermal turbulent fluid flow in pipe. Temperature field in a plane wall with an internal volumetric heat release in boundary condition of the 1st and 3rd kind. Unsteady temperature field in a plane wall in boundary condition of the 3rd kind
Modelling, types of modelling - division according to various aspects. Mathematical modelling. Analogy of convection in the tube and molecular diffusion, criterion Sc, Sh, mass transfer coefficient. Hydraulic analogy. Physical modelling. Approximate modelling. Self-similarity. Velocity field and pressure drop in laminar flow and turbulent flow.
Steady heat conduction. Critical radius of the cylindrical wall, a critical radius of insulation. Temperature field and heat flux spherical wall - boundary condition of the 1st and 3rd kind. Temperature field and heat flow in a plane wall - thermal conductivity is a function of temperature. Temperature field plates and cylinders with an internal volumetric heat release. Heat conduction and infinite rod of finite length. Fin efficiency. 2D, 3D tasks. Analytical solutions – a method of separation of variables. Numerical solutions.
Unsteady heat conduction. Analytical solutions - a method of separation of variables. Solutions for complex body shapes. Numerical solutions, Differential method - explicit, implicit, Crank-Nicolson. The stability of explicit numerical methods.
Convective heat transfer. Analytical solutions.
Heat radiation. View factor - beam algebra.
Thermal processes in ladles at secondary metallurgy. Heat balance, influence of technological and design factors.
Solidification and cooling of continuous cast steel. Influence of particular parameters at heat removal in the mould. Heat removal in the secondary cooling zone.
Heat removal at rolling. Importance of particular mechanisms of heat transfer, controlled rolling.
Tutorials:
Overview of software tools that will be used for modelling (Excel, Matlab, Visual Basic for Excel, Pascal)
Models, based on the use of analytical solutions:
Model of the temperature profile in planar, cylindrical, and spherical walls
Modelling the critical radius of the cylindrical wall
-Modelling the critical radius of insulation
Modelling of heat removal by the fin
Numerical models using the finite difference method:
Stationary model of temperature field of a 2D object
Stationary model of temperature field CC mould wall
Stationary temperature field model of multi-layer wall of a furnace, including a corner
Stationary model of temperature field of the cylindrical wall
Transient model of temperature field of a planar wall
Test: derivation of formula for the temperature of the nodal point of the specified type
Checking of fulfilment of the solved examples