Question in (Conduction ) A steel plate 2 cm thick

AI Thread Summary
A steel plate 2 cm thick is maintained at temperatures of 550°C and 50°C on opposite faces, with a thermal conductivity of 19.1 W/mK at 300°C. The heat transfer through the material is calculated using the formula q = -k . A . (dt/dx). The computed heat transfer per unit area is 477.5 W/m², but there are concerns that the problem statement should specify "per unit area" and that the answer may be off by a factor of 1000. Clarification on the variables used in the calculations is requested to ensure accurate understanding.
manal950
Messages
177
Reaction score
0
Hi

A steel plate 2 cm thick is maintained at a temperature of 550 C at one face and 50 C on the other .
The thermal conductivity of stainless stress at 300 C is 19.1 W/mK .

Compute the heat transferred through the material per unit length ?

Answer : -

we have q = - k . A . (dt/dx)

now
q = - k . (l.h) . (dt/dx)

q / (l.h) = -k( (dt/dx) )
= 477.5 w/m^2
 
Physics news on Phys.org
There is something wrong with the problem statement. It should be "per unit area". Also, it looks like the answer is off by a factor of 1000.
 
Pls explains your variables in the context of the problem.
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
Back
Top