the conductivity, which has metric units of J/m-s-K or W/m-K. A temperature function T for a...

 

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the conductivity, which has metric units of J/m-s-K or W/m-K. A temperature function T for a region D is given below. Find the net outward heat flux < ff F⋅nds=- kffvT• Fourier's Law of heat transfer (or heat conduction) states that the heat flow vector F at a point is proportional to the negative gradient of the temperature: that is, F = -kVT, which means that heat energy flows from hot regions to cold regions. The constant k is called VT.n dS across the boundary S of D. It may be easier to use the Divergence Theorem and evaluate a S S triple integral. Assume that k = 1. T(x.v.z) = 110e-x²-²-2². D is the sphere of radius a centered at the origin. The net outward heat flux across the boundary is (Type an exact answer, using it as needed.) the conductivity, which has metric units of J/m-s-K or W/m-K. A temperature function T for a region D is given below. Find the net outward heat flux < ff F⋅nds=- kffvT• Fourier's Law of heat transfer (or heat conduction) states that the heat flow vector F at a point is proportional to the negative gradient of the temperature: that is, F = -kVT, which means that heat energy flows from hot regions to cold regions. The constant k is called VT.n dS across the boundary S of D. It may be easier to use the Divergence Theorem and evaluate a S S triple integral. Assume that k = 1. T(x.v.z) = 110e-x²-²-2². D is the sphere of radius a centered at the origin. The net outward heat flux across the boundary is (Type an exact answer, using it as needed.)

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T 110e x2 y2z2 Delta T 11... View the full answer