Assuming negligible internal resistance derive a

Assignment Help Mechanical Engineering

Reference no: EM13625237

Long metallic rods of circular cross section are heat treated by passing an electric current through the rods to provide uniform volumetric heat generation at a rate q (W/m3). The rods are of diameter D and are placed in a large chamber whose walls are maintained at the same temperature T∞ , as the enclosed air. Convection from the surface of the rods to the air is characterized by coefficient h.

a) Assuming negligible internal resistance, derive a differential equation that could be solved to determine the rod temperature as a function of time during the heating process. Express your result in terms of the foregoing variables and appropriate physical properties of the rod material. Do not attempt to solve.

b) Obtain an expression that could be used to determine the steady-state temperature of the rod.

c) Neglecting radiation effects and prescribing an initial (t = 0) rod temperature of = T ∞, solve the equation in part a to obtain the transient temperature response of the rod.

Reference no: EM13625237

Questions Cloud

Assuming a transition reynolds number of 5 x 105 determine : assuming a transition reynolds number of 5 x 105 determine the distance from the leading edge of a flat plate at which

The amount of snowfall falling in a certain mountain range : the amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70 inches and a

A manometer connected to the tap shows a head of 014 in of : a jet of air from a nozzle is blown at right angles against a wall in which a pressure tap is located. a manometer

A plane wall 75 cm thick generates heat internally at the : a plane wall 7.5 cm thick generates heat internally at the rate of wm3. one side of the wall is insulated and the other

Assuming negligible internal resistance derive a : long metallic rods of circular cross section are heat treated by passing an electric current through the rods to

Find the critical value assume that the test is two-tailed : find the critical value. assume that the test is two-tailed and that n denotes the number of pairs of data. n 60

The r-410a is compressed to 2mpa 60 c in a reversible : a cylinderpiston contains a saturated vapor r-410a at 10 c the volume is 10 l. the r-410a is compressed to 2mpa 60 c in

Determine the instantaneous rate of heat transfer from a : determine the instantaneous rate of heat transfer from a 1.5-cm-diameter ball bearing with a surface temperature of 150

Refrigerant 134a at 700 kpa and 40oc is expanded : refrigerant 134a at 700 kpa and 40oc is expanded adiabatically in a closed system to 60 kpa. determine the work

User Account

All Pages