Q.1
##### In FEM, which option is a negative aspect of the mixed formulation?
• a) Presence of zeros on matrix diagonals corresponding to pressure variable
• b) Involves a natural and direct formulation
• c) It is a velocity-pressure formulation
• d) It is similar to the Lagrange multiplier method
Q.2
##### Which option is correct regarding constraints in the viscous flow problems governed by the continuity and momentum equation?
• a) Constrains are readily available
• b) Constraints are created by the elimination of pressure
• c) Constraints are created by the elimination of velocity
• d) No constraints are dealt with in penalty formulation
Q.3
##### In the finite element method, which option is not a natural and direct formulation of momentum and continuity equations?
• a) Velocity-pressure formulation
• b) Penalty formulation
• c) Mixed formulation
• d) Lagrange multiplier formulation
Q.4
• a) True
• b) False
Q.5
##### For the functional IL(v,λ)≡Iv(v)+∫ΩcλG(v)dxdy, what is the necessary condition for IL to have a stationary value?
• a) δvxIL+δvyIL+δλIL=0
• b) δvxIL-δvyIL-δλIL=0
• c) δvxIL-δvyIL+δλIL=0
• d) δvxIL+δvyIL-δλIL=0
Q.6
##### In the computation of mixed formulation in FEM, which option is correct for the nodal DOF of the following element?
• a) o nodes with u,v and P
• b) * nodes with u,v and P
• c) o nodes with P only
• d) *nodes with u and v
Q.7
##### For the following slider bearing, the upper pad is inclined to the base pad. Which option is correct for a load applied normal to the base pad?
• a) A pressure gradient develops in the lubricant, and the bearing can support some transverse load
• b) The pressure remains uniform in the lubricant, and the bearing can support some transverse load
• c) A pressure gradient develops in the lubricant, and the bearing cannot support any transverse load
• d) The pressure remains uniform in the lubricant, and the bearing cannot support any transverse load
Q.8
##### For the following slider bearing, the upper pad is parallel to the base pad. Which option is correct for a load applied normal to the base pad?
• a) The pressure in the lubricant is atmospheric, and the bearing cannot support any load
• b) The pressure in the lubricant is greater than atmospheric, and the bearing can support any load
• c) The pressure in the lubricant is less than atmospheric, and the bearing cannot support any load
• d) The pressure in the lubricant is atmospheric, and the bearing can support some load