Which of the following dimensionless variables is the 'heat transfer' analog of the Sh? O Pr - The Prandtl number O Gr - The Grashof number O Nu -The Nusselt number O Ra -The Rayleigh number

Define the following dimensionless group number in fluid mechanics, a)Interpretation of force ratio, and what types of application. b)Reynolds number (Re) c)Euler number (Eu) d) Mach number (Ma) e) Weber number (We)

A 1:7 scale model simulates the operation of a large turbine that is to generate200 kW with a flow rate of 1.5 m3/s. What flow rate should be used in the model, andwhat power output is expected?(a) Water at the same temperature is used in both model and prototype.(b) The model water is at 25°C and the prototype water is at 10°C.

..P15 A horizontal cylinder 10 cm in diameter contains helium gas at room temperature and atmospheric pressure. A piston keeps the gas inside a region of the cylinder 20 cm long. (a) If you quickly pull the piston outward a distance of 12 cm, what is the approximate temperature of the helium immediately afterward? What approximations did you make? (b) How much work did you do, including sign? (Note that you need to consider the outside air as well as the inside helium in calculating the amount of work you do.) (c) Immediately after the pull, what force must you exert on the piston to hold it in position (with the helium enclosed in a volume that is 20 + 12 = 32 cm long)? (d) You wait while the helium slowly returns to room temperature, maintaining the piston at its current location. After this wait, what force must you exert to hold the piston in position? (e) Next, you very slowly allow the piston to move back into the cylinder, stopping when the region of helium gas is 25 cm long.…