Aluminum wire, having a diameter of 0.794 mm, is immersed in an oil bath that is at 25°c. aluminum wire of this size has an electrical resistance of 0.0572w/m. for conditions where an electric current of 100 a is flowing through the wire and the surface coefficient between the wire and oil bath is 550 w/m2.k, determine the steady-state temperature of the wire.

Steady State Temperature is

Solution:

As per the question:

Diameter, d = 0.794 mm =

Radius, r =

Temperature, = 298 K

Electrical resistance of the wire, R = 0.0572

Current, I = 100 A

Surface coefficient, h =

Now,

To calculate the steady-state temperature:

The value of the thermal coefficient of Aluiminium, from the table of physical props of solid, K = 229

< 0.1

Thus by using lumped capacitance method for the steady steady temperature without radiation:

answer:

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explanation: