Keywords: Hopscotch scheme Thermal explosion Nonlinear source term Linear stability analysis a b s t r a c t Numerical solutions to the Frank-Kamenetskii partial differential equation modelling a thermal explosion in a cylindrical vessel are obtained using the hopscotch scheme. We observe that a nonlinear source term in the equation leads to numerical difficulty and hence adjust the scheme to a...

A numerical study is made of transient heat and mass transfer in metal hydride beds in the hydriding process with the addition of internal aluminum plates. The two-dimensional equations governing the hydration kinetics, hydrogen ̄ow and heat transfer are solved by using the iterative method based on the ®nite-volume technique. It is found that the heat transfer is enhanced by the installation o...

In heterogeneous liquid-liquid reaction processes, explosions have been reported. An aim of this study is to simulate the accident stories, which might be caused by inappropriate mixing conditions in the heterogeneous reaction process. The reaction of water-insoluble anhydride and water was selected as a model process. The experimental trend data of droplet size with agitation in a batch reacto...

The paper is devoted to the stability of reaction fronts in thin domains. The influence of natural convection and of heat losses through the walls of the reactor is studied numerically and analytically. Critical conditions of stability of stationary solutions are obtained. 1. Introduction. The stability of reaction fronts is important for many technological devices and it is interesting from th...

the aim of this study was to evaluate the effect of replacing progesterone injections by progesterone vaginal inserts on productive and reproductive parameters of lactating cows with reproductive problems after prolonged periods of heat stress. fifteen holstein cows were randomly assigned to one of three treatments: 1) treated with two progesterone vaginal inserts (p4-ins); 2) treated with prog...

Considerable work has been published on mathematically coupled nonlinear differential equations by neglecting thermodynamic coupling between heat and mass flows in reaction-transport systems. The thermodynamic coupling refers that a flow occurs without or against its primary thermodynamic driving force, which may be a gradient of temperature, or chemical potential, or reaction affinity. This st...