problem4S.3 - PROBLEM 4S.3 KNOWN: Structural member with...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
PROBLEM 4S.3 KNOWN: Structural member with known thermal conductivity subjected to a temperature difference. FIND: (a) Temperature at a prescribed point P, (b) Heat transfer per unit length of the strut, (c) Sketch the 25, 50 and 75 ° C isotherms, and (d) Same analysis on the shape but with adiabatic-isothermal oundary conditions reversed. b SCHEMATIC: ASSUMPTIONS: (1) Two-dimensional conduction, (2) Steady-state conditions, (3) Constant properties. ANALYSIS: (a) When constructing the flux plot, note that the line of symmetry which passes through the point P is an isotherm as shown above. It follows that () ( ) () 12 T P T T 2 100 0 C 2 50 C =+ = + = D D . < (b) The flux plot on the symmetrical section is now constructed to obtain the shape factor from which the eat rate is determined. That is, from Equation 4S.6 and 4S.7, h qk STT a n dSMN =− = A . (1,2) F rom the plot of the symmetrical section, o S 4.2 4 1.05 == AA . For the full section of the strut, o M M 4.2 but N = 2N o = 8. Hence, o S S 2 0.53 A and with qq ′ = A , giving q 75W m K 0.53 100 0 C 3975W m =⋅ × = D A .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

problem4S.3 - PROBLEM 4S.3 KNOWN: Structural member with...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online