do anyone understand one dimensional steady state conduction?

logistic_guy

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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
 
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
Please show us your attempts on problems when you post them.
 
Last edited by a moderator:
thank you for interest. i'll try to find the equation 2.34 and upload the picture of the quesition
 
if anyone know how to solve this, i show picture
I am a little rusty in topics related to the Thermodynamics, but I will try to look it up for you. No promises that I will be able to solve it, but I think that it is not very difficult as it is obvious they want you to find [imath]C_1[/imath] and [imath]C_2[/imath].

I know that the probability is very high that I will not be able to understand the figure, but it will not be a bad idea to show it.

Mario, Dan's student

😎
 
Last edited by a moderator:
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
How are you working on this question when you cannot understand this one, which is at least 2 years less advanced?

-Dan
 
How are you working on this question when you cannot understand this one, which is at least 2 years less advanced?

-Dan
my main courses need understanding algebra, physics, calculus, and other beginning course. i don't understand the main idea of algebra, physics, calculus, so i repeat this courses as advise from the teacher

look at my heat transfer course, it have formulas similar to calculus. i don't understand why, but i think there is main idea which i still don't understand. i understand little but confusing. at least now i understand some of physics graphs for the first time because The Highlander give nice explanation in other post
 
I am a little rusty in topics related to the Thermodynamics, but I will try to look it up for you. No promises that I will be able to solve it, but I think that it is not very difficult as it is obvious they want you to find [imath]C_1[/imath] and [imath]C_2[/imath].

I know that the probability is very high that I will not be able to understand the figure, but it will not be a bad idea to show it.

Mario, Dan's student

😎
thank you

11111.png
 
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