logistic_guy
Full Member
- Joined
- Apr 17, 2024
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this is the question
Consider the plane wall of Figure 3.1, separating hot and cold fluids at temperatures \(\displaystyle T_{\infty,1}\) and \(\displaystyle T_{\infty,2}\), respectively. Using surface energy balances as boundary conditions at \(\displaystyle x = 0\) and \(\displaystyle x = L\) (see Equation 2.34), obtain the temperature distribution within the wall and the heat flux in terms of \(\displaystyle T_{\infty,1}\), \(\displaystyle T_{\infty,2}\), \(\displaystyle h_1\), \(\displaystyle h_2\), \(\displaystyle k\), and \(\displaystyle L\).
i know the two of the formulas, but i can't find Equation 2.34
temperature distribution
\(\displaystyle T(x) = C_1x + C_2\)
heat flux
\(\displaystyle q^{''}_x = -k\frac{dT}{dx} = -kC_1\)
if anyone know how to solve this, i show picture
Consider the plane wall of Figure 3.1, separating hot and cold fluids at temperatures \(\displaystyle T_{\infty,1}\) and \(\displaystyle T_{\infty,2}\), respectively. Using surface energy balances as boundary conditions at \(\displaystyle x = 0\) and \(\displaystyle x = L\) (see Equation 2.34), obtain the temperature distribution within the wall and the heat flux in terms of \(\displaystyle T_{\infty,1}\), \(\displaystyle T_{\infty,2}\), \(\displaystyle h_1\), \(\displaystyle h_2\), \(\displaystyle k\), and \(\displaystyle L\).
i know the two of the formulas, but i can't find Equation 2.34
temperature distribution
\(\displaystyle T(x) = C_1x + C_2\)
heat flux
\(\displaystyle q^{''}_x = -k\frac{dT}{dx} = -kC_1\)
if anyone know how to solve this, i show picture