12-06-2013, 11:56 AM
SEMESTER EXAMINATIONS FOR ADVANCED MATHEMATICS IN CHEMICAL ENGINEERING
ADVANCED MATHEMATICS.pdf (Size: 32.18 KB / Downloads: 20)
Answer any five questions
All questions carry equal marks
1. Two concentric cylindrical metallic shells are separated by a solid material. If the two metal surfaces are maintained at different constant temperatures, what is the steady-state temperature distribution within the separating material? Formulate the problem.
2. Find the eigen values and eigen vectors of the matrix
3. Discuss about ‘zero eigen values’ and ‘null spaces’.
4. What is a Bessel’s equation? Discuss the solution of Bessel’s equation.
5. Define ‘finite difference equation’ and discuss about linear finite difference equations.
6. Solve the differential equation:
()112=++xydxdyx.
7. Consider a section of a flat plate wall of thickness L m whose height and length are both large compared with L. If the temperature distribution is uniform throughout the wall at zero time and heat is supplied at a fixed rate per unit area to the one surface, determine the temperature as a function of position and time.