Thermodynamics HW Solutions 87

Thermodynamics HW Solutions 87 - Chapter 2 Heat Conduction...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Chapter 2 Heat Conduction Equation ( a ) Heat transfer is transient, ( b ) it is one-dimensional, ( c ) there is no heat generation, and ( d ) the thermal conductivity is constant. 2-27 For a medium in which the heat conduction equation is given in its simplest by r d T dr dT dr 2 2 + = : ( a ) Heat transfer is steady, ( b ) it is one-dimensional, ( c ) there is heat generation, and ( d ) the thermal conductivity is constant. 2-28 We consider a small rectangular element of length Δ x , width Δ y , and height Δ z = 1 (similar to the one in Fig. 2-21). The density of the body is ρ and the specific heat is C. Noting that heat conduction is two- dimensional and assuming no heat generation, an energy balance on this element during a small time interval Δ t can be expressed as ⎟ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎜ ⎝ ⎛ = ⎟ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎜ ⎝ ⎛ Δ + Δ − ⎟ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎜ ⎝ ⎛ element the of content energy the of change of Rate and + at surfaces at the conduction...
View Full Document

This note was uploaded on 01/14/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.

Ask a homework question - tutors are online