1. Mustafa Nasser

2. Mustafa Nasser

3. Mustafa Nasser

4. Mustafa Nasser

5. Mustafa Nasser

6. Mustafa Nasser

7. Mustafa Nasser

8. (Rate of heat)in –(rate of heat out)out + generation = Accumulation
Mustafa Nasser

9. Mustafa Nasser

10. Can you proof this?
Mustafa Nasser

11. Mustafa Nasser

12. Mustafa Nasser

13. Cases
Mustafa Nasser

14. Mustafa Nasser

15. Mustafa Nasser

16. Mustafa Nasser

17. Mustafa Nasser

18. Mustafa Nasser

19. Mustafa Nasser

20. Mustafa Nasser

21. 2nd order , the boundary initial conditions applicable conditions
Since the temperature of the bottom surface Is maintained at T0 which is fixed with time
At the surface where x = L and there is flow,
The convection heat occur at the surface
Mustafa Nasser

22. Mustafa Nasser

23. Mustafa Nasser

24. Mustafa Nasser

25. Mustafa Nasser

26. 1- At the surface where x = 0 and there is flow, the convection heat occur at the surface2-
Mustafa Nasser

27. Example
Mustafa Nasser

28. Mustafa Nasser

29. Mustafa Nasser

30. Mustafa Nasser

31. Mustafa Nasser

32. Mustafa Nasser

33. Mustafa Nasser