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Study 18. Differential Equations in Thermal Engineering

ValeryOchkov
24-Ruby II

Study 18. Differential Equations in Thermal Engineering

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.jpg

Fig. 18.1. Spray cooling pond

18-02.png

Fig. 18.2. Simulation of Free Flight of Spherical Drop

Fig-18-3.png

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

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Fig. 18.4. Flight of water drop in weak headwind

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Fig. 18.5. Flight of water drop in strong headwind

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Fig. 18.6. Solution of Differential Equations with Additional Parameter

Fig-18-7.png

Fig. 18.7. Virtual and real fountains

Fig-18-8.png

Fig. 18.8. Simulation of Temperature Field of Computer Board

Fig-18-9.png

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

Fig-18-10.png

Fig. 18.10. Unsuccessful Attempt to Call pdesolve Function

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

Fig-18-12.png

Fig 18.12. Temperature Field in Flat Plate

 

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