Physiology for Engineers by Michael Chappell & Stephen Payne

Author:Michael Chappell & Stephen Payne
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(C.1)

and derive an expression for the coefficient, c.

(b)Consider a material occupying the positive x line, such that the boundary is at x = 0 and the material extends infinitely in the positive x direction. Initially the pressure is zero throughout, but at time t = 0, a step change in pressure of magnitude P is applied at the boundary. Calculate the pressure in the material as a function of distance and time.

The result in Exercise C is very similar to the heat equation that governs the flow of heat in a one-dimensional passive material. Solutions to this partial differential equation are very standard and importantly are only dependent upon one parameter, as shown in the exercise. This means that they are well understood and can be applied relatively easily, although of course we are assuming linear and isotropic behaviour, so it does become much more challenging if this is not the case.

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