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HW #3 /Tutorial # 3 WWWR Chapter 18 ID Chapter 5

Tutorial # 3 WWWR #18.12, (additional data: h = 6W/m 2 -K) 18.2, 18.19, 18.15. To be discussed on Feb. 4, 2014. By either volunteer or class list. HW #3 /Tutorial # 3 WWWR Chapter 18 ID Chapter 5. Unsteady-State Conduction. Transient Conduction Analysis.

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HW #3 /Tutorial # 3 WWWR Chapter 18 ID Chapter 5

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  1. Tutorial # 3 WWWR #18.12, (additional data: h = 6W/m2-K) 18.2, 18.19, 18.15. To be discussed on Feb. 4, 2014. By either volunteer or class list. HW #3 /Tutorial # 3WWWR Chapter 18ID Chapter 5

  2. Unsteady-State Conduction

  3. Transient Conduction Analysis

  4. Spherical metallic specimen, initially at uniform temperature, T0 Energy balance requires

  5. Large value of Bi • Indicates that the conductive resistance controls • There is more capacity for heat to leave the surface by convection than to reach it by conduction Small value of Bi • Internal resistance is negligibly small • More capacity to transfer heat by conduction than by convection

  6. Example 1 (WWWR Page 266) • A long copper wire, 0.635cm in diameter, is exposed to an air stream at a temperature of 310K. After 30 s, the average temperature of the wire increased from 280K to 297K. Using this information, estimate the average surface conductance, h.

  7. Example 1

  8. Heating a Body Under Conditions of Negligible Surface Resistance

  9. IC BC(1) BC(2) V/A = (WHL)/(2WH)=L/2 BC (1) -> C1=0 BC (2) -> l = np/L Fo = at/(L/2)2 IC -> Fourier expansion of Yo(x) …..> Equation (18-12) Engineering Mathematics: PDE

  10. Detailed Derivation for Equations 18-12, 18-13 Courtesy by all CN5 students, presented by Lim Zhi Hua, 2003-2004

  11. Detailed Derivation for Equations 18-12, 18-13 Courtesy by all CN5 students, presented by Lim Zhi Hua, 2003-2004

  12. Example 2

  13. Heat Transfer to a Semi-Infinite Wall

  14. Temperature-Time Charts for Simple Geometric Shapes

  15. Example 3

  16. or Figure F.4

  17. Example 4

  18. Courtesy contribution by ChBE Year Representative, 2006.

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