1. Abstract Work has been carried out to investigate some of the important design parameters and performance criteria that should be addressed when designing servo mechanisms and, subsequently, to put forward a computationally efficient design procedure. Emphasis is put on the handling of the discrete design variables. A two-stage approach is presented that uses dimensionless parameters that ma...

included an article by R. F. Nespolo with a very unusual title: " New invariants and dimensionless numbers: futile renaissance of old fallacies? " This paper contains a rather ranting criticism of our paper " Homeostasis and heterostasis: from invariant to dimensionless numbers " (Biol. Res. 36: 211-221, 2003), and therefore we are obliged to respond to Nespolo's comments in detail. A) GENERAL ...

this article investigates the nonlinear, steady boundary layer flow and heat transfer of an incompressible eyring-powell non-newtonian fluid from an isothermal sphere with biot number effects. the transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-difference keller box technique. the influ...

BACKGROUND Frequently Sampled Intravenous Glucose Tolerance Test (FSIVGTT) together with its mathematical model, the minimal model (MINMOD), have become important clinical tools to evaluate the metabolic control of glucose in humans. Dimensional analysis of the model is up to now not available. METHODS A formal dimensional analysis of MINMOD was carried out and the degree of freedom of MINMOD...

During early stages of the design process, functional descriptions are often used to describe the design object behavior. Based on the knowledge of such functional descriptions of the design object (i.e. the design parameters contained in these functional relationships), the Pi-theorem is used to derive the associated dimensionless groups. These dimensionless groups are shown to fullll the nece...

This paper describes a modeling effort demonstrating that dimensionless groupings of classical process parameters can be used to predicting process dynamics of batch simultaneous saccharification and fermentation (SSF) processes. Michaelis–Menten enzyme kinetics and Monod growth kinetics were employed, and inhibition of enzyme action and inhibition of microbial growth were neglected. The SSF pr...

Analytical solutions are widely used as screening tools for estimating the potential for contaminant transport in groundwater, or for interpreting tracer tests or groundwater quality data. A solution for three-dimensional solute migration from a plane-source source that is frequently used in practice is the approximate solution of Domenico [J. Hydrol. 91 (1987) 49-58]. A more rigorous solution ...

entry region of a rectangular microchannel is investigated. The wall heat flux is peripherally constant and varies exponentially with respect to the axis of the microchannel. The flow is assumed to be hydrodynamically fully developed. The three-dimensional energy conservation equation is solved numerically for different aspect ratios. Surface interaction parameters consist of momentum accommoda...

The propagation of shear waves in an anisotropic fluid saturated porous layer over a prestressed semi-infinite homogeneous elastic half-space lying under an elastic homogeneous layer with irregularity present at the interface with rigid boundary has been studied. The rectangular irregularity has been taken in the half-space. The dispersion equation for shear waves is derived by using the pertur...

k thermal conductivity, W/mK An analytical model is developed for predicting constriction and spreading resistances associated with heat transfer from various electronic components under different modes of cooling. The model assumes a heat source in contact with a larger cold plate which is in turn cooled with a convective heat transfer coefficient specified over the sink surface. Unlike existi...