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This study describes the common types of differential equations which you will work when solving the problems of thermal engineering tasks. Described the numerical methods for solving such problems. Continued analysis of finite element methods applied to heat transfer problems.
The begin of the chapter you can read here Thermal Engineering Studies with Excel, Mathcad and Internet | Valery Ochkov | Springer
Mathcad-sheets of the study in attach:

Fig. 18.1. Spray cooling pond

Fig. 18.2. Simulation of Free Flight of Spherical Drop

Fig. 18.3. Flight of water drop in the absence of wind

Fig. 18.4. Flight of water drop in weak headwind

Fig. 18.5. Flight of water drop in strong headwind

Fig. 18.6. Solution of Differential Equations with Additional Parameter

Fig. 18.7. Virtual and real fountains

Fig. 18.8. Simulation of Temperature Field of Computer Board

Fig. 18.9. Numerical Solution of Non-Stationary Heat Transfer Problem

Fig. 18.10. Unsuccessful Attempt to Call pdesolve Function

Fig. 18.11. Solution of Problem about Temperature Field in the Plate

Fig 18.12. Temperature Field in Flat Plate
