This page presents the course exams and solutions along with preparation and study materials.
Test 1
Overview (PDF)
Practice Problems: The following problems and solutions from old 3.185 tests and homeworks should help you to get a sense for the kind of problems which might be asked on the first test.
Practice problems.
| Practice Problems | Solutions |
| Heat Conduction |
| Cooling of a Little Plastic Widget (PDF) | (PDF) |
| Finite Differences in Heat Conduction (PDF) | (PDF) |
| Investment Casting Heat Transfer (PDF) | (PDF) |
| Titanium-aluminum Alloy Thermal Conductivity (PDF) | (PDF) |
| Dimensional Analysis (Diffusion) |
| Catalytic Combustion of Carbon Monoxide (PDF) | (PDF) |
| Diffusion of a Zinc Coating (PDF) | (PDF) |
Test 1 (PDF)
Test 1 Solution (PDF)
Test 2
Overview (PDF)
Practice Problems: The following problems and solutions from old 3.185 tests and homeworks should help you to get a sense for the kind of problems which might be asked on the second test.
Practice problems.
| Practice Problems | Solutions |
| Solid-Liquid Processing |
| Electron Beam Centrifugal Atomization of Metal (PDF) | (PDF) |
| Fluid Flow |
| Floating Bubbles out of Molten Glass (PDF) | (PDF) |
| Laminar and Turbulent Boundary Layers (PDF) | (PDF) |
| Turbulence and Mixing in a Tube (PDF) | (PDF) |
Titanium Nitride Inclusion Removal in an Electron Beam Melting Hearth ( PDF) | (PDF) |
Note: We only briefly covered the rate of growth of a turbulent boundary layer, you're not expected to know that (and not expected to memorize the rate of growth of a laminar boundary layer). And I don't believe we named the Prandtl number, it is the ratio nu/alpha for heat transfer and nu/D for mass transfer. For turbulent transport, both of these are just below one.
Additional Practice Problems (PDF)
Test 2 (PDF)
Test 2 Solution (PDF)
Final Exam
Overview (PDF)
Final Exam (PDF)
