- #1

sharky444

- 5

- 0

- Homework Statement
- There is given a rectangular bar which is composed of two different materials, X and Y. Cross-section is 1mm width, 1mm of thickness and 3mm length for material X and 4.4mm length for material Y. Assume that all the sides are thermally insulated except left side of the bar where material X has temperature of 308.13K and ambient T=283.13K and right surface of the bar where Y material experiences diffusion and convection . X and Y materials have thermal conductivities of 0.3 W/mK and 0.014W/mK, respectively. Surface emissivity (ε=0.9) and convection ht coefficient h=2W/m^2K. We need to find contact surface temperature.

Ht radiation coefficient is given as h_r = 6W/m^2K.

- Relevant Equations
- q=εσ(T_h^4-T_c^4)

q_total=q_conv+q_cond+q_radiation

q_rad=h_radA(T_sur-T_amb)

There are similar problems with heat conduction only where for example, right side of the bar also has a certain temperature or in-contact with a hot material. However, in this case diffusion and convection occurs on the right side of the bar, more precisely on the Y material. I guess we have to use radiation heat transfer.

I did simulation of this problem and T

q_cond=kA/L(T

I did simulation of this problem and T

_{contact}was around 304K. Now I need to compare simulation with theoretical value. However, I still could not get the answerq_cond=kA/L(T

_{x}-T_{contact})#### Attachments

Last edited: