Question

Estimate (a) the maximum, and (b) the minimum thermal conductivity values (in W/m-K) for a cermet that contains 76 vol% carbide particles in a metal matrix. Assume thermal conductivities of 30 and 67 W/m-K for the carbide and metal, respectively.

Answer 1

Answer:

The answer is below

Explanation:

Given that:

Volume of carbide ($V_{C}$) = 76% = 0.76, Volume of Nickel ($V_{M}$) = 100% - 76% = 24% = 0.24, thermal conductivities of carbide ($E_{C}$) = 30 W/m-K and thermal conductivities of meta. ($E_M$) = 67 W/m-K

a) The maximum thermal conductivity is given by:

Max = $E_CV_c+E_mV_m=(0.76*30) + (0.24*67) = 38.88\ W/mK$

b) The minimum thermal conductivity is given by:

Min = $\frac{E_ME_C}{E_MV_C+E_CV_M}=\frac{30*67}{(0.76*67)+(0.24*30)}=34.58\ W/mK$