Question

For the following eigenvalue equation to represent a heat transfer problem, a=kA and C=ρcA.

(a) \)=λCU

(b) True

(c) False

This question was posed to me during an internship interview.

Enquiry is from Eigen Value and Time Dependent Problems in chapter Single Variable Problems of Finite Element Method

Answer 1

Right answer is (a) \)=λCU

For explanation I would say: For the given eigenvalue equation the quantities a and C depend on the physics of problem. For a heat transfer problem, a=kA and C=ρcA where k is thermal conductivity, A is cross-sectional area and c is specific heat.