An engine block with a surface area measured to be 0.90m2 generates a power output of 55 kW with a net engine efficiency of 35%. The engine block operates inside a compartment at 157oC and the average convection heat transfer coefficient of 60 W/m2K.
a) If convection is the only main heat transfer mechanism occurring, determine the engine block surface temperature.
b) If there is also radiation to surface of the compartment (T surface compartment = 87oC) in addition to the convection, what would be the surface temperature of the engine block (use emissivity=0.8 for engine surface).
Note: you will need to solve an equation with power of 4 (as it involves radiation). You can use EES, Excel, Matlab, Mathematica to solve this.