Question

Given T_cap, find q_f

steel end cap filling powder -copper element steel tab ceramic wall h.Tx → cap Iplane A

Answer 1

Assumptions For the given Problem is 1. In longitudinal direction temp variation is negligible 2. 1 D steady state heat transfer is consider in radial direction 3. In Filling power and ceramic wall section only conduction mode of heat transfer is considered rightarrow In longitudinal direction temperature change is assumed to be negligible. rightarrow 1 D steady state heat transfer is assumed radial direction of fuse. rightarrow so across cross section of fuse, on plane A temperature profile is drawn Assumptions: 1. only conduction is considered in filling powder, copper element and \r\n ceramic wall. 2.Thermal conductivity of Filling powder = k_f p copper element = K_C u ceramic wall = K_C e r 3. copper element diameter is very small, NO-variation in temp of copper elementof Every where temp on copper elementof is 'T_c' Governing equation for radial heat (q)conduction without heat generation is partial differential^2 T/partial differential r^2 + 1/r partial differential T/partial differential r = 0 rightarrow (1) (a) Temperature profile in 'filling' powder section', Boundary conditions r =