The analytic solution to the heat equation subject to the boundary conditions and initial condition is...
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The analytic solution to the heat equation subject to the boundary conditions and initial condition is JT (x, t) Ət = α T(0,t> 0) = Tb T(x→ ∞o, t) = T₁ T(x,t) – T Tb - Ti T(t, x) dx² T(x > 0,0) = T₁ = erfc X 4at In [ ]: Consider a brick wall (a = 0.52 mm²/s) initially at 25°C. Generate a 2D plot where you show the temperature profiles at t = 0, 15, 30, 45, 60 min after the surface temperature is raised to 100°C. Clearly label your plots. The figure should look like: Temperature, T (°C) 100 90 80 70 60 50- 40 30- 0.000 0.025 0.050 0.075 0.100 0.125 0.150 Position, x (m) t=0 t=15 t=30 t=45 t=60 min 0.175 0.200 The analytic solution to the heat equation subject to the boundary conditions and initial condition is JT (x, t) Ət = α T(0,t> 0) = Tb T(x→ ∞o, t) = T₁ T(x,t) – T Tb - Ti T(t, x) dx² T(x > 0,0) = T₁ = erfc X 4at In [ ]: Consider a brick wall (a = 0.52 mm²/s) initially at 25°C. Generate a 2D plot where you show the temperature profiles at t = 0, 15, 30, 45, 60 min after the surface temperature is raised to 100°C. Clearly label your plots. The figure should look like: Temperature, T (°C) 100 90 80 70 60 50- 40 30- 0.000 0.025 0.050 0.075 0.100 0.125 0.150 Position, x (m) t=0 t=15 t=30 t=45 t=60 min 0.175 0.200
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Posted Date:
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