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23 Nov 2019
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)
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)
