Sentence examples for equation for the surface from inspiring English sources

A dimensionless equation for the surface potential was obtained.

An approximate analytical equation for the surface tension at the cmc was obtained.

The zero determinant of the coefficient matrix will give the frequency equation for the surface waves.

An equation for the surface tortuosity for liquid and gas filled pores in terms of the is obtained.

Frequency equation for the surface wave propagation near the surface of the cylindrical bore is obtained, characterizing the dispersive nature of the wave.

Generally, the reasonable approximations of formula (8) and of equal permeabilities are used in the equation for the surface impedance that corresponds to formula (4) (see e.g. Kaufman and Keller, 1981, equation (2.43); Szarka, 1997, equation (A.13)).

Such an evaluation requires the simultaneous solution of the system of equations for the surface water and energy balance, and subsurface heat transport and water flow.

A time-dependent contact angle model on the nanotextured surface was developed from the Cassie's equation for the heterogeneous surface containing different wetting patches, to describe the hydrophobic over-recovery due to the surface restructuring on the nanofibrils array.

For a given interaction field I x, y, z), the SPM system therefore "solves" the implicit equation (1) for the surface profile z x, y).

Such effects pose various theoretical and computational challenges, since they are caused by non-convex surface energies, which lead to ill-posed evolution equations for the surfaces.

The thermodynamic extremum principle is applied to derive the evolution equations for the surfaces of both bodies as well as the contact conditions at the triple line.