Starting with an energy balance on a ring-shaped volume element, identify the two-dimensional steady heat conduction equation in cylindrical coordinates for T(r, z) for the case of constant thermal conductivity and no heat generation.

Amass of 1.5 kg of air at 120 kpa and 24°c is contained in a gas-tight, frictionless piston-cylinder device. the air is now compressed to a final pressure of 720 kpa. during the process, heat is transferred from the air such that the temperature inside the cylinder remains constant. calculate the boundary work input during this process.

Fluids at rest possess no flow energy. a)- true b)- false

Draw the engineering stress-strain curve for (a) bcc; (b) fcc metals and mark important points.