1. Temperature field. Let the isotherms (curves of constant temperature) in a body in the upper half-plane y > 0 be given by 4x² + 9y² = c. Find the ortho- gonal trajectories (the curves along which heat will flow in regions filled with heat-conducting material and free of heat sources or heat sinks).

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.63P
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1.
Temperature field. Let the isotherms (curves of
constant temperature) in a body in the upper half-plane
y > 0 be given by 4x2 + 9y² = c Find the ortho-
gonal trajectories (the curves along which heat will
flow in regions filled with heat-conducting material and
free of heat sources or heat sinks).
%3D
Transcribed Image Text:1. Temperature field. Let the isotherms (curves of constant temperature) in a body in the upper half-plane y > 0 be given by 4x2 + 9y² = c Find the ortho- gonal trajectories (the curves along which heat will flow in regions filled with heat-conducting material and free of heat sources or heat sinks). %3D
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