Problem (S'93, #4). The temperature T(x, t) in a stationary medium, z 0, is governed by...

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Problem (S'93, #4). The temperature T(x, t) in a stationary medium, z≥ 0, is governed by the heat conduction equation ᎧᏎᎢ . dr² Making the change of variable (r, t)-(u,t), where u = x/2√t, show that ƏT 8²T OT at du² ди Solutions of (18.7) that depend on u alone are called similarity solutions. 68 ar Ət 4t- +2u- (18.6) (18.7) Problem (S'93, #4). The temperature T(x, t) in a stationary medium, z≥ 0, is governed by the heat conduction equation ᎧᏎᎢ . dr² Making the change of variable (r, t)-(u,t), where u = x/2√t, show that ƏT 8²T OT at du² ди Solutions of (18.7) that depend on u alone are called similarity solutions. 68 ar Ət 4t- +2u- (18.6) (18.7)

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