Numerical approximation of a fractional-in-space diffusion equation (II) - with nonhomogeneous boundary conditions

In this paper, a space fractional di®usion equation (SFDE) with non- homogeneous boundary conditions on a bounded domain is considered. A new matrix transfer technique (MTT) for solving the SFDE is proposed. The method is based on a matrix representation of the fractional-in-space operator and the novelty of this approach is that a standard discretisation of the operator leads to a system of linear ODEs with the matrix raised to the same fractional power. Analytic solutions of the SFDE are derived. Finally, some numerical results are given to demonstrate that the MTT is a computationally e±cient and accurate method for solving SFDE.

Challenging 'best practice' subtropical design

Genuine sustainability would require that urban development provide net positive social and ecological gains to compensate for previous lost natural capital and carrying capacity. Thus far, green buildings do not contribute to net sustainability. While they reduce relative resource consumption, they consume vast quantities of materials, energy and water.i Moreover, they replace land and ecosystems with structures that, at best, ‘mimic’ ecosystems. Elsewhere, the author has proposed a‘sustainability standard’, where development would leave the ecology, as well as society, better off after construction than before.ii To meet this standard, a development would need to add natural and social capital beyond what existed prior to development. Positive DesignTM or Positive DevelopmentTM is that which expands both the ecological base (life support system) and the public estate (equitable access to means of survival). How to achieve this is discussed in Positive Development (Birkeland 2008). This paper examines how net positive gains can be achieved in a ubtropical as well as temperate environment.

Prediction of fluidization behaviour and a quasi-stationary approach to drying kinetics of irregular particulate food materials

Changes in fluidization behaviour behaviour was characterised for parallelepiped particles with three aspect ratios, 1:1, 2:1 and 3:1 and spherical particles. All drying experiments were conducted at 500C and 15 % RH using a heat pump dehumidifier system. Fluidization experiments were undertaken for the bed heights of 100, 80, 60 and 40 mm and at 10 moisture content levels. Due to irregularities in shape minimum fluidisation velocity of parallelepiped particulates (potato) could not fitted to any empirical model. Also a generalized equation was used to predict minimum fluidization velocity. The modified quasi-stationary method (MQSM) has been proposed to describe drying kinetics of parallelepiped particulates at 30o C, 40o C and 50o C that dry mostly in the falling rate period in a batch type fluid bed dryer.