Homework #3 Due Date: 09/26/2014
All problems are from Chapter 3 of your textbook
Problem 1: P.3-2 (30 points)
Assuming a linear initial temperature of F
Homework #2 Due Date: 09/12/2013
Problem 1: Consider the following conical fin (shown in cross-section), of thermal
conductivity k, that protrudes from a wall at co
Optional HW 10
EML 6154
This HW is entirely optional, and you will not be penalized in any way if you select not to participate. If you do participate, you may earn 3 points toward your final exam score.
HW 10: Select a journal article from the scientific
EML 6154
HW 9
Due Wednesday, Dec. 2
1) Show that T(r,t) = A + B E1(r2/4t) satisfies the cylindrical heat conduction equation for (r,t)-dependence.
2) Solve problem 11-4. Neglect changes in density between the solid and liquid phases.
EML 6154
HW 8
Due Friday Nov. 13
Problem 7.2. Problem 7.5. Find both the full solution AND the small-time approximation. Problem 7.7. Find both the full solution AND the small-time approximation. For your large-s approximation, use Equation 16c of Appendi
l t 4 Solve exactly the problem considend in Exampie 11-3 for the case of melting. That is a solid in x > 0 is initially at a uniform temperature 7; lower than the melting temperature T,. For times t > 0 the boundary
at x = 0 is kept at a constant tempera
EML 6154 Wednesday Sept. 2
Homework 1
Derive the heat conduction equation in spherical coordinates using the differential control volume approach. Do not use a change of variables approach or an integral approach.
EML 6154 Homework Set 2 Due Friday, September 11
1) Separation of variables leads to the following orthogonal function, n(x) = cos(nx), with eigenvalues n = (2n+1)/2L, for n = 0, 1, 2. over the interval x = 0 to L, noting that the weighting function is on
EML 6154
HW 3
Due Wednesday 9/23/09
A) Work Problem 2.11, but make the following change. Let the initial temperature T(t=0) = F(x,y,z), where this initial condition function may NOT be expressed as a product of the separated 1-D functions. Therefore solve
EML 6154
HW 4
Due Friday 10/2
(A) Work the following problems in Chapter 3: 7, 12, and 17 in text. (B) A solid cylinder of length L and radius b has the following boundary conditions: The cylinder end at z = 0 is maintained at temperature T1, while the cy
EML 6154
HW 5
Due Friday Oct. 9
(A) Work problems 4.6, 4.7 and 4.13. B) A solid sphere of radius a is initially at a temperature F(r). For times t > 0, heat is generated throughout the sphere at a constant rate of go per unit volume, while the outer bound