Search results
Results from the WOW.Com Content Network
Contact between a sphere and an elastic half-space and one-dimensional replaced model Some contact problems can be solved with the method of dimensionality reduction (MDR). In this method, the initial three-dimensional system is replaced with a contact of a body with a linear elastic or viscoelastic foundation (see fig.).
Bearing pressure is a particular case of contact mechanics often occurring in cases where a convex surface (male cylinder or sphere) contacts a concave surface (female cylinder or sphere: bore or hemispherical cup). Excessive contact pressure can lead to a typical bearing failure such as a plastic deformation similar to peening.
Graphs of surface area, A against volume, V of the Platonic solids and a sphere, showing that the surface area decreases for rounder shapes, and the surface-area-to-volume ratio decreases with increasing volume. Their intercepts with the dashed lines show that when the volume increases 8 (2³) times, the surface area increases 4 (2²) times.
When longitude spans 2 π radians and latitude spans π radians, the solid angle is that of a sphere. A latitude-longitude rectangle should not be confused with the solid angle of a rectangular pyramid. All four sides of a rectangular pyramid intersect the sphere's surface in great circle arcs. With a latitude-longitude rectangle, only lines of ...
A special type of area density is called column density (also columnar mass density or simply column density), denoted ρ A or σ. It is the mass of substance per unit area integrated along a path; [ 1 ] It is obtained integrating volumetric density ρ {\displaystyle \rho } over a column: [ 2 ] σ = ∫ ρ d s . {\displaystyle \sigma =\int \rho ...
When van der Waals created his equation, few scientists believed that fluids were composed of rapidly moving particles. Moreover, those who thought so had no knowledge of the atomic/molecular structure. The simplest conception of a particle, and the easiest to model mathematically, was a hard sphere; this is what van der Waals used.
Bernoulli's principle is a key concept in fluid dynamics that relates pressure, density, speed and height. Bernoulli's principle states that an increase in the speed of a parcel of fluid occurs simultaneously with a decrease in either the pressure or the height above a datum. [1]:
The density and viscosity are those belonging to the fluid. [23] Note that purely laminar flow only exists up to Re = 10 under this definition. Under the condition of low Re, the relationship between force and speed of motion is given by Stokes' law. [24] At higher Reynolds numbers the drag on a sphere depends on surface roughness.