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Cylinder_Q_ND
Function cylinder_Q_ND(Fo, Bi) returns the non-dimensional heat transfer within a long circular cylinder with the outside edge exposed to convection (r=r_o). The supplied values, Fo, Bi represent the Fourier number and Biot number respectively. A separation of variable technique is used as described in Section 3.5.2 of Nellis and Klein.
Inputs:
where alpha = thermal diffusivity, time = time (relative to step change), and r_o = outer radius
Output:
where Q is the actual amount of heat transfer and Q_max is the maximum possible amount of heat transfer.
Example:
Fo=0.23
Bi=1.02
Q_hat=cylinder_q_nd(Fo, Bi)
{Solution:
Q_hat=0.319}
Transient Conduction Index