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

The answer is below

Step-by-step 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 =
`(E_ME_C)/(E_MV_C+E_CV_M)=(30*67)/((0.76*67)+(0.24*30))=34.58\ W/mK`