Optional HW 10
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
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.
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
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
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
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
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