Water at 20°c flows upward through a 1-mm-diameter tube at an incline of 45° to which are attached two pressure taps at a distance 1m apart.

(a)what is the maximum pressure drop allowed if the flow is to be laminar?
(b)assume the manufacturing tolerance on the tube diameter is d = 1.0 ± 0.1mm. given the uncertainty in the tube diameter, what is the maximum pressure drop allowed if it must be assured that the flow is laminar?

Apiston-cylinder with a volume of 0.25 m3 holds 1 kg of air (r 0.287 k/kgk) at a temperature of 100 c. heat transfer to the cylinder causes an isothermal expansion of the piston until the volume triples. how much heat is added to the piston-cylinder?

Two flowing streams of argon gas are adiabatically mixed to form a single flow/stream. one stream is 1.5 kg/s at 400 kpa and 200 c while the second stream is 2kg/s at 500 kpa and 100 ? . it is stated that the exit state of the mixed single flow of argon gas is 150 c and 300 kpa. assuming there is no work output or input during the mixing process, does this process violate either the first or the second law or both? explain and state all your assumptions.

Coiled springs ought to be very strong and stiff. si3n4 is a strong, stiff material. would you select this material for a spring? explain.