This course is focused on description and analysis of heat transfer phenomena in different types of chemical-engineering systems. Theories of heat conduction, heat convection transport and radiation heat transport are presented. Various practical problems related to chemical-engineering applications are solved, e.g., heat conduction in planar or cylindrical walls, conduction in ribs, unsteady and multiple-dimension conduction, convection heat transfer connected with forced convection in confined and unconfined systems, heat transfer in buoyancy-driven flow and in turbulent flow, heat transport in boiling and condensation processes, radiation heat transport among black bodies.

The students will learn how to:

• develop mathematical description of heat transfer in systems with heat conduction, convection and radiation.

• solve engineering problems related to heat transfer by means of analytical and numerical tools.

• analyze reaction-transport phenomena in chemical=engineering systems.

• qualitatively design typical heat transfer systems: heat exchangers, heat insulations, dryers, boilers and other systems.

Z Electronic sources (lectures and solved examples) - author M. Přibyl

D Deen M., Analysis of transport phenomena, Oxford UP, New York, 1998, 0-19-508494-2

D Nellis G., Klein S., Heat transfer, Cambridge UP, Cambridge, 2009, 978-0-521-88107

D Bird R.B., Stewart W.E., Lightfoot E.N., Transport phenomena, Wiley, New York, 2007, 978-0-470-11539-8

1. Introduction to heat transfer. Vectors, tensors, differential operators.

2. Fourier equation. One-dimensional steady-state heat conduction.

3. Heat conduction in ribs. Thin fin approximation. Biot number.

4. Unsteady-state one-dimensional heat conduction. Fourier method.

5. Convective heat transport, Peclet number.

6. Heat convection in laminar fluid flows.

7. Laminar thermal boundary layer. Nusselt number, heat transfer coefficient.

8. Heat transfer in unconfined systems, flow around sphere and rode. Prandtl number.

9. Heat transport in free convection, Grashof number.

10. Heat transfer in turbulent flows. Eddy diffusivity model.

11. Heat transfer in boiling.

12. Heat transfer at film condensation

13. Heat radiation, fundamental concepts and relations.

14. Heat radiation, radiation shields, view factors.

Unit operations I

Mathematics I