PHIL 211 Chapter 16: The Human Mind

By substituting T=T(m)+A(s)exp(-z/d)sin[(2pi/P)(t-t(m))] intodT/dt=(d/dz)[(k/C(s))(dT/dz)]=(d/dz)[a(h)(dT/dz)], verify that theformer is a solution of Fourier's equation of heat conductionthrough a homogenous soil medium, and then, derive the expressionfor the ground heat flux.

T(m)-->the mean temperature of the surface
A(s)-->amplitude
P-->period
t(m)--> the time when T(s)=T(m)

Temperature change time base problem. Suppose V = 22 V, I = 0.1 A, m_w = 54 gm, c_w = 4.18 J/gm K, m_r = 9 gm, and c_r = 3.7 J/gm K. If the water is initially at room temperature, how long will it take for the water to heat up 5 K? (Hint: dT/dt is approximately equal to delta-T / delta-t .)

Temperature change time base problem. Suppose V = 22 V, I = 0.1 A,m_w = 54 gm, c_w = 4.18 J/gm K, m_r = 9 gm, and c_r = 3.7 J/gm K.If the water is initially at room temperature, how long will ittake for the water to heat up 5 K? (Hint: dT/dt is approximatelyequal to ΔT / Δt .)

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