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Moving to the next question prevents changes to this answer. Question 2 The steady-state temperature distribution in a one-dimensional wall of thermal conductivity $k$ and thickness $L$ is of the form $T = 2x^2 - 3x + 1$ where $T$ is in Kelvin and $x$ is in m. Derive an expression for the heat flux at $x = 0$ in W/m$^2$ if the thermal conductivity is 2 W/(m K) Fourier's Law $\vec{q} = -k \vec{\nabla} T$ Cartesian Coordinates: $T(x, y, z)$ $\vec{q} = -k \frac{\partial T}{\partial x} \vec{i} - k \frac{\partial T}{\partial y} \vec{j} - k \frac{\partial T}{\partial z} \vec{k}$ $q_x$ $q_y$ $q_z$ Cylindrical Coordinates: $T(r, \theta, z)$

          Moving to the next question prevents changes to this answer.
Question 2
The steady-state temperature distribution in a one-dimensional wall of thermal conductivity $k$ and thickness $L$ is of the form $T = 2x^2 - 3x + 1$ where $T$ is in Kelvin and $x$ is in m. Derive an expression for the heat flux at $x = 0$ in W/m$^2$ if the thermal conductivity is 2 W/(m K)
Fourier's Law
$\vec{q} = -k \vec{\nabla} T$
Cartesian Coordinates:  $T(x, y, z)$
$\vec{q} = -k \frac{\partial T}{\partial x} \vec{i} - k \frac{\partial T}{\partial y} \vec{j} - k \frac{\partial T}{\partial z} \vec{k}$
$q_x$
$q_y$
$q_z$
Cylindrical Coordinates: $T(r, \theta, z)$

Moving to the next question prevents changes to this answer.
Question 2
The steady-state temperature distribution in a one-dimensional wall of thermal conductivity k and thickness L is of the form T = 2x^2 - 3x + 1 where T is in Kelvin and x is in m. Derive an expression for the heat flux at x = 0 in W/m^2 if the thermal conductivity is 2 W/(m K)
Fourier's Law
q⃗ = -k ∇⃗ T
Cartesian Coordinates: T(x, y, z)
q⃗ = -k (∂ T)/(∂ x)i⃗ - k (∂ T)/(∂ y)j⃗ - k (∂ T)/(∂ z)k⃗
qx
qy
qz
Cylindrical Coordinates: T(r, θ, z)

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