Czech

doc. Ing. Lubomír Klimeš, Ph.D.

Energy Institute

Mathematics, Physics.

Oral examination.
The presence will not be checked.

The course objective is for students to acquire competency to carry out technical computation in the area of thermodynamics and heat transfer. Students will apply theoretical knowledge to machinery and technological fields (primarily in environmental engineering).
Students will acquire skills to carry out technical computation in the area of thermodynamics and heat transfer : Computation of heat engines and cooling systems. Heat balance of material and machine systems, in gases, vapors, buildings and technological processes.

Programme D-ENE-K: Power Engineering, Doctoral, recommended course

Programme D-ENE-P: Power Engineering, Doctoral, recommended course

20 hours, optionally

Introduction. Basic laws and equations of state for an ideal gas. Heat capacity. Mixtures of ideal gases, Dalton’s Law, equations of state for mixtures and their components.
The First Law of Thermodynamics and its mathematical forms (general form). Heat, volume and technical work, internal energy, enthalpy.
Reversible processes in ideal gases, changes of quantities of state, heat calculation, calculations of internal energy, enthalpy, of volume and technical work, p-v diagrams.
Heat cycles, thermal efficiency, work. The Carnot cycle. The Second Law of Thermodynamics, entropy and general equations for entropy changes. Reversible processes and the Carnot cycle in a T-s diagram. The reversed and irreversible Carnot cycle. Irreversible processes in technical practice. Joule Thompson effect.
Van der Waals equations of state for real gases. The thermodynamics of vapour, p-v, T-s and h-s diagrams and vapour tables. Construction of diagrams. The Clausius-Clapeyron Equation. Thermodynamic processes in vapours, changes in quantities of state, heat calculation, calculations of internal energy, enthalpy, of volume and technical work.
Thermodynamics of moist air. The definition of humidity and enthalpy of humid air, the Mollier diagram (construction). Cooling, heating, mixing and increasing the humidity of air, adiabatic evaporation from a free surface. Psychrometers.
The First Law of Thermodynamics for an open system and its equations. Continuity and Bernoulli’s equations. The Prandtl tube, the speed of sound, the Mach number. Isentropic flow of an ideal gas and steam through a narrowing opening and the Laval nozzle and their calculation. The Laval nozzle with various input conditions and the effect of back pressure.
The cycles of heat gas and heat steam engines. Combustion engines, gas turbines, reaction engines.
The Rankin-Clausius cycle. Compressors. The cycles of cooling devices and heat pumps.
Heat transfer by conduction. 3D differential equations for stationary and transient heat conduction with an internal source using Cartesian and cylindrical coordinates. Heat and temperature conductivity. Stationary heat conduction through a planar and cylindrical single- and multiple-layer wall.
Heat transfer by convection. The Navier-Stokes equation, equations for the boundary condition. The Similarity Theory in heat convection. Derivation of the criteria of similarity. Criterion equations for natural and forced convection.
Stationary overall heat transfer through a planar or cylindrical single- or multiple-layer wall. Heat exchangers, the mean temperature logarithmic gradient, algorithms for calculation.
Heat transfer by radiation. The basic laws (Kirchhoff’s First and Second Law, Planck’s Law, the Stefan-Boltzman Law, Wien’s Law). Radiation between two parallel walls and between mutually surrounding surfaces.