If the temperature at a point (x, y, z) in a body is u(1, y, z), then the heat flow is defined as the vector field F = -

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If The Temperature At A Point X Y Z In A Body Is U 1 Y Z Then The Heat Flow Is Defined As The Vector Field F 1 (40.75 KiB) Viewed 51 times

If the temperature at a point (x, y, z) in a body is u(1, y, z), then the heat flow is defined as the vector field F = -KVu, where K is a constant called the conductivity of the substance. The rate of heat flow across the surface S in the body is given by : F. ds = -K Vuds S/ F = k ſlv. / u = If the temperature at a point in a ball of is inversely proportional to the distance from the center of the ball, then we have с V.x2 + y2 + z2 where C is the proportionality constant. Find the rate of heat flow across a sphere of radius a with its center at the center of the ball.