This is the third part of a three-part series of courses (Fluid Mechanics II and Heat Transfer II) designed to provide core
knowledge of the fundamental principles and engineering applications o
eat transfer and fluid mechanics. These areas
collectively make up the field of Thermo-Fluid Mechanics or Thermal Fluid Sciences but are traditionally taught as
separate courses. However, in this course, these areas are presented in a more integrated manner. The finite difference
method (FDM) is presented in detail and applied to various types of partial differential equations representing the wave
equaTon, heat equation and Laplace equation. Then the upwinding concept is introduced to deal with convecteddominated
flows. Then stability analysis is discussed for different finite difference schemes. The domain-based numerical
techniques namely the finite volume method (FVM) and finite element method (FEM) are briefly introduced.
In parallel to the theoretical concepts, a computer sotware package is used for the simulaTon of different multi-physics
applications.