4-18 When a sine-wave temperature distribution| is impressed on the surface of a semi- infinite solid, the temperature distribution in the solid is given by Tx,T - Tm = A exp | πη sin 2πητ- x, where Tx = temperature at depth x and time t after start of temperature wave at surface Tm = mean surface temperature

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n= frequency of wave, cycles per unit time
A = amplitude of temperature wave at surface
If a sine-wave temperature distribution is impressed on the surface of a large slab of
concrete such that the temperature varies from 35 to 90°C and a complete cycle is
accomplished in 15 min, find the heat flow through a plane 5 cm from the surface 2 h
after the start of the initial wave.
Transcribed Image Text:n= frequency of wave, cycles per unit time A = amplitude of temperature wave at surface If a sine-wave temperature distribution is impressed on the surface of a large slab of concrete such that the temperature varies from 35 to 90°C and a complete cycle is accomplished in 15 min, find the heat flow through a plane 5 cm from the surface 2 h after the start of the initial wave.
4-18 When a sine-wave temperature distribution is impressed on the surface of a semi-
infinite solid, the temperature distribution in the solid is given by
Tx,t - Tm = A exp
sin 2πητ x,
where
Tx= temperature at depth x and time t after start of temperature wave
at surface
Tm = mean surface temperature
Transcribed Image Text:4-18 When a sine-wave temperature distribution is impressed on the surface of a semi- infinite solid, the temperature distribution in the solid is given by Tx,t - Tm = A exp sin 2πητ x, where Tx= temperature at depth x and time t after start of temperature wave at surface Tm = mean surface temperature
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