## A mathematical model of oxygen diffusion in potato tissue |

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20 hours aerobic respiration Appendix approximately assumed average internal concentration axial Bessel functions Burton l974 calculated carbon dioxide Chapter cients coeffi computed concen concentration curves concentration gradients constant boundary condition constant coefficients constant surface conditions CONVERGE WITH 50 cylinder derived diffusion coefficient diffusion model DISK LENGTH DISP dsia equa equation 4.l0 equation 5.2l equation 5.3a Figure 8.l2 film and respiration film coefficient finite difference Fourier transform Hankel transform increase initial condition intact tuber integral transforms internal oxygen concentration inversion l0 cm l0 DEF LENGTH cm linear N3HL nondimensional obtained ordinary differential equation oxygen diffusion oxygen uptake parameters periderm potato tissue radial radius rate and surface respiration coefficient respiration curves respiration rate respiratory mechanism ROOT EQUATION separation of variable series solutions simplier steady state model storage tissue surface flux term thin disks tion transcendental equation transient model tration tubers in storage values variable whole tubers