The optimal shape of roots

The optimal shape of roots

Roots provide plants with mechanical stability and pure water. Wind and gravitational forces on plants are spread out by the roots over a large volume of soil. In a similar manner, roots absorb pure water and nutrients from moist soil. These processes are mathematically similar and have similar optimal solutions, unless the soil is inhomogeneous -i.e. if one part is wetter, whereas another part...

Shape-Measure Method for Solving Elliptic Optimal Shape Problems (Fixed Control Case)

The Optimal Shape of a Javelin

The problem of finding the optimal tapering of a free (non-supported) javelin is described and solved. For the optimal javelin, the lowest mode of vibration has the highest possible frequency. With this tapering inner damping will lead to the cessation of the vibration at the fastest possible rate. The javelin is modeled as a beam of uniform material. The differential equations governing the vi...

the effect of taftan pozzolan on the compressive strength of concrete in the environmental conditions of oman sea (chabahar port)

cement is an essential ingredient in the concrete buildings. for production of cement considerable amount of fossil fuel and electrical energy is consumed. on the other hand for generating one tone of portland cement, nearly one ton of carbon dioxide is released. it shows that 7 percent of the total released carbon dioxide in the world relates to the cement industry. considering ecological issu...

A Novel Volcano Smoke Antenna with Optimal Shape

The design of a novel volcano smoke antenna for UWB indoor applications is presented. The design method is based on a general description for the geometry of UWB monopole antennas which is capable of producing most possible shapes for these antennas. It is also compatible with different optimization methods. In addition to a volcano smoke antenna, this method is used to design two optimized mon...