The one-dimensional transient heat diffusion (conduction) equation with thermal generation per unit volume and constant properties is: kâ^2T/âx^2 + q = pc âT/ât

Terms I, II, and III are related to:

I: conduction, II: generation, and III: energy storage.
I: generation, II: energy storage, and III: conduction.
I: energy storage, II: conduction, and III: generation.
I: conduction, II: energy storage, and III: generation.
I: energy storage, II: energy generation, and III: conduction.

Which of the following controllers anticipates the future from the slope of errors over time? a)-proportional b)-on/off c)-integral d)-derivative.

Derive the correction factor formula for conical nozzle i=-(1+ cosa) and calculate the nozzle angle correction factor for a nozzle whose divergence hal-fangle is 13 (hint: assume that all the mass flow originates at the apex of the cone.

To save energy, the air supply to a 2000 ft office has been shut off overnight and the room temperature has dropped to 40°f. in the morning, the thermostat is reset to 70°f and warm air at 120 f begins to flov in at 200ft'/min. the air is well mixed within the room, and an equal mass flow of air at room temperature (changing with time) is withdrawn through a return duct. the air pressure is nearly 1 atm everywhere. ignoring heat transfer with the surroundings and kinetic and potential energy effects, estimate how long it takes for the room temperature to reach 70°f. plot the room temperature as a function of time.