Hello, I've received a task, and couldn't find the right way to solve the problem.
The question is taken from Heat Transfer 10th edition by JP Holman :
4-141
The 4.0-mm-diameter stainless-steel wire shown in Figure P4-141 is initially at
20◦C and is exposed to a convection environment at 20◦C where h may be taken
as 200 W/m2 · ◦C. An electric current is applied to the wire such that there is
a uniform internal heat generation of 500 MW/m3. The left side of the wire is
insulated as shown. Set up the nodal equations and stability requirement for calculating the temperature in the wire as a function of time, using increments of
r=0.5 mm and φ=π/4.Take the properties of stainless steel as k = 16 W/m · ◦C,
ρ = 7800 kg/m3, and c = 0.46 kJ/kg · ◦C.
Appreciate any kind of help.
The question is taken from Heat Transfer 10th edition by JP Holman :
4-141
The 4.0-mm-diameter stainless-steel wire shown in Figure P4-141 is initially at
20◦C and is exposed to a convection environment at 20◦C where h may be taken
as 200 W/m2 · ◦C. An electric current is applied to the wire such that there is
a uniform internal heat generation of 500 MW/m3. The left side of the wire is
insulated as shown. Set up the nodal equations and stability requirement for calculating the temperature in the wire as a function of time, using increments of
r=0.5 mm and φ=π/4.Take the properties of stainless steel as k = 16 W/m · ◦C,
ρ = 7800 kg/m3, and c = 0.46 kJ/kg · ◦C.
Appreciate any kind of help.
