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Vector Calculus Applications: Problem 32 Previous Problem Problem List Next Problem Aa solid material that has thermal conductivity K in kilowatts per meter-kelvin and temperature given at each point by w (x, y, z) = 20 − 6(x² + y² + z²)°C has heat flow given by the vector field F = -K Vw and rate of heat flow across a surface S within the solid given by -K // Vwo Vwds. Find the rate of heat flow out of a sphere of radius 1 meter inside a large cube of copper (K = 400 kilowatts/m-k). (Use symbolic notation and fractions where needed.) Flow rate= #

Vector Calculus Applications: Problem 32 Previous Problem Problem List Next Problem Aa solid material that has thermal conductivity K in kilowatts per meter-kelvin and temperature given at each point by w (x, y, z) = 20 − 6(x² + y² + z²)°C has heat flow given by the vector field F = -K Vw and rate of heat flow across a surface S within the solid given by -K // Vwo Vwds. Find the rate of heat flow out of a sphere of radius 1 meter inside a large cube of copper (K = 400 kilowatts/m-k). (Use symbolic notation and fractions where needed.) Flow rate= #

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Vector Calculus Applications: Problem 32 Previous Problem Problem List Next Problem ---) Aa solid material that has thermal conductivity K in kilowatts per meter-kelvin and temperature given at each point by w (x, y, z) = 20 − 6(x² + y² + z²)°C has heat flow given by the vector field F = -K Vw and rate of heat flow across a surface S within the solid given by --K K VwdS. Flow rate= S Find the rate of heat flow out of a sphere of radius 1 meter inside a large cube of copper (K = 400 kilowatts/m-k). (Use symbolic notation and fractions where needed.)
Transcribed Image Text:Vector Calculus Applications: Problem 32 Previous Problem Problem List Next Problem ---) Aa solid material that has thermal conductivity K in kilowatts per meter-kelvin and temperature given at each point by w (x, y, z) = 20 − 6(x² + y² + z²)°C has heat flow given by the vector field F = -K Vw and rate of heat flow across a surface S within the solid given by --K K VwdS. Flow rate= S Find the rate of heat flow out of a sphere of radius 1 meter inside a large cube of copper (K = 400 kilowatts/m-k). (Use symbolic notation and fractions where needed.)
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