Consider a closed circular vortex filament of strength γ and radius a. assume that the center of the circular filament is located at the origin and the filament lies in thex-y plane. using the biot-savart law, obtain an expression for the velocity induced at(0,0,z). note that this corresponds to a general point on the z-axis. what is the velocityinduced at the origin (center of the vortex filament)?

An engine runs on the ideal diesel cycle. the cycle has a compression ratio of 20 and a cutoff ratio of 2. the highest temperature in the cycle is 1200 k. if the heat into the system is 300 kj/kg of working fluid and using variable specific heats determine the work produced per mass of working fluid

A2-m rigid tank initially contains saturated water vapor at 100 kpa. the tank is connected to a supply line through a valve. steam is flowing in the supply line at 600 kpa and 300 c. the valve is opened, and steam is allowed to enter the tank until the pressure in the tank reaches the line pressure, at which point the valve is closed. a thermometer placed in the tank indicates that the temperature at the final state is 200°c. determine (a) the mass of steam that has entered the tank (b) the amount of heat transfer.

What is the main objective of using reheat rankine cycle?