Materila paramters

Those aren't really material properties, they are more geometry and actual problem based. You'll need way more information.

 

Heat is transferred by a)conduction, b)convection. and c)radiation. Is there any other way?

 

Yes, often times heat transfer coefficients are described in terms of the Nusselt number
[tex]Nu_l \equiv \frac{h_l l}{k}[/tex]
Where l is a characteristic length, h is the convection coefficient and k is the thermal conductivity.

Now, the Nusselt number is something that can be found either experimentally, or empirically. For example, for a cylinder in cross-flow, the Number can be:
[tex]
\bar{Nu_D} = 0.3 + \frac{0.62 Re_D^{1/2}Pr^{1/3}}{[1+(0.4/Pr)^{2/3}]^{1/4}}\left[1+ \left(\frac{Re_D}{282,000}\right)^{5/8}\right]^{4/5}
[/tex]
This is just a big function which is based on two simple non-dimensional parameters, Reynolds and Prandlt. From calculating this, one can go and back calculate the convection coefficient.

However, on nano-scale things break down. You'll have to find number/results that not only apply to your geometry, but on small scale as well. I wish you luck,

 

A good start might be Ozsun et al.'s, "On heat transfer at microscale with implications for microactuator design," J Micromech Microeng 19 (2009).