i need to measure the thermal conductivity K of nano fluid ,but i not have measuring devices for this , at the same time i can measure the electrical conductivity
I am afraid that is not really possible to measure the thermal conductivity in such way... The WF law is valid for systems in which the energy is carried by electrons. However in a liquid you will have other thermal transport mechanisms not described by that formalism ( convection,diffusion etc...), which may be dominant, and for you need to account for.
I got it , but i still need to measure the thermal conductivity of the nanofluid by simple way. I suppose using fourier law by using heater(Q) and insulated (delta x)holder and measuring the (delta T ) but i think it will be low accuracy.
The WF law is valid only for metals. To measure the thermal conductivity of the nanofluid you can use the Transient Hot Wire method.This method is based on measurement of the temperature rise dependence versus-time when current passes through a thin electrically insulated wire immersed in the test liquid [1].
1. Codreanu, C., Codreanu, N.I., and Obreja, V.V.N., 2007, “Experimental set-up for the measurement of the thermal conductivity of liquids,” Romanian J Inf. Sci. Tech., 10, pp.215-231.