The correct statement among the given options

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The heated rod from Problem 3 is subject to a volumetric heating h(x) = h0 x L in units of [Wm−3], as shown in the figure below. Under the heat supply the temperature of the rod changes along x with the temperature function T (x). The temperature T (x) is governed by the d following equations: − dx (q(x)) + h(x) = 0 PDE q(x) =−k dT dx Fourier’s law of heat conduction (4) where q(x) is the heat flux through the rod and k is the (constant) thermal conductivity. Both ends of the bar are in contact with a heat reservoir at zero temperature. Determine: 1. Appropriate BCs for this physical problem. 2. The temperature function T (x). 3. The heat flux function q(x). Side Note: Please see that both ends of bar are in contact with a heat reservoir at zero temperature so the boundary condition at the right cannot be du/dx=0 because its not thermally insulated. Thank you

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Chapter 16, Problem 11RQ

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The correct statement among the given options

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The heated rod from Problem 3 is subject to a volumetric heating h(x) = h0 x L in units of [Wm−3], as shown in the figure below. Under the heat supply the temperature of the rod changes along x with the temperature function T (x). The temperature T (x) is governed by the d following equations: − dx (q(x)) + h(x) = 0 PDE q(x) =−k dT dx Fourier’s law of heat conduction (4) where q(x) is the heat flux through the rod and k is the (constant) thermal conductivity. Both ends of the bar are in contact with a heat reservoir at zero temperature. Determine: 1. Appropriate BCs for this physical problem. 2. The temperature function T (x). 3. The heat flux function q(x). Side Note: Please see that both ends of bar are in contact with a heat reservoir at zero temperature so the boundary condition at the right cannot be du/dx=0 because its not thermally insulated. Thank you

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