FLOWS always NORMAL to the surface.So, \({\LEFT. {\frac{{dT}}{{dx}}} \right|_P} = 0\)For CONSTANT surface temperatures, \({q_{cond}}_Q = {q_{cond}}_P\)ie, \(k{A_p}{\left. {\frac{{dT}}{{dy}}} \right|_P} = k{A_Q}{\left. {\frac{{dT}}{{dx}}} \right|_Q}\)\(\Rightarrow {\left. {\frac{{dT}}{{dy}}} \right|_P} ={\left. \frac{{{A_Q}}}{{{A_P}}} {\frac{{dT}}{{dx}}} \right|_Q}\\={\frac{2}{1}}\times10=20\ K/m\)

"> FLOWS always NORMAL to the surface.So, \({\LEFT. {\frac{{dT}}{{dx}}} \right|_P} = 0\)For CONSTANT surface temperatures, \({q_{cond}}_Q = {q_{cond}}_P\)ie, \(k{A_p}{\left. {\frac{{dT}}{{dy}}} \right|_P} = k{A_Q}{\left. {\frac{{dT}}{{dx}}} \right|_Q}\)\(\Rightarrow {\left. {\frac{{dT}}{{dy}}} \right|_P} ={\left. \frac{{{A_Q}}}{{{A_P}}} {\frac{{dT}}{{dx}}} \right|_Q}\\={\frac{2}{1}}\times10=20\ K/m\)

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Steady two-dimensional heat conduction takes place in the body shown in the figure below. The normal temperature gradients over surfaces P and Q can be considered to be uniform. The temperature gradient \(\frac{{\partial T}}{{\partial x}}\) at surface Q is equal to 10 K/m. Surfaces P and Q are maintained at constant temperatures as shown in the figure. While the remaining part of the boundary is insulated. The body has a constant thermal conductivity of 0.1 W/m.K. The values of \(\frac{{\partial T}}{{\partial x}}\) and \(\frac{{\partial T}}{{\partial y}}\) at surface P are

Current Affairs General Awareness in Current Affairs . 5 months ago

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Heat FLOWS always NORMAL to the surface.So, \({\LEFT. {\frac{{dT}}{{dx}}} \right|_P} = 0\)For CONSTANT surface temperatures, \({q_{cond}}_Q = {q_{cond}}_P\)ie, \(k{A_p}{\left. {\frac{{dT}}{{dy}}} \right|_P} = k{A_Q}{\left. {\frac{{dT}}{{dx}}} \right|_Q}\)\(\Rightarrow {\left. {\frac{{dT}}{{dy}}} \right|_P} ={\left. \frac{{{A_Q}}}{{{A_P}}} {\frac{{dT}}{{dx}}} \right|_Q}\\={\frac{2}{1}}\times10=20\ K/m\)

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Posted on 19 Nov 2024, this text provides information on Current Affairs related to General Awareness in Current Affairs. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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