Sentence examples for boundary I from inspiring English sources

We require that this be 0 at each of the interior points given the values of the function on the boundary, i.e., 1 on the horizontal boundaries and 0 on the vertical boundaries.

However, in order to explain some slugging flow commonly observed at the surface end of the annular space, Q L at the right boundary (i = N + 1/2) shall be discussed in detail.

By advancing the boundary i in the Hankel matrix, new past and future parts can be obtained, which are Y  p +  = Y 0,i and Y  f −  = Y i+1,2i-1.

Table 1 Boundary conditions for dynamic modeling of managed pressure drilling   Symbol Parameter Value Time (s) Left-hand boundary, i = 1/2 Q L Liquid flow rate 280 gpm Overall Right-hand boundary, i = N + 1/2 p ch,1 Choke pressure 100 psi 7.4 p ch,2 Choke pressure 200 psi 14.8 p ch,3 Choke pressure 50 psi 22.2 p ch,4 Choke pressure 0 psi 29.6.

Taking into account Equation 4 for the external boundary (i = n), we obtain the scheme Т s + 1 n j + 1 − Т s n j τ = 1 + a n s Т s + 1 n j + 1 p s + 1 n j + 1 − p s n j τ − d n s T s + 1 n j + 1, j = 0, j 0 − 1 ¯.

To obtain the difference scheme for the external boundary (i = n), we integrate Equation 1 in the elementary cell [r n  − h/2, r n ] and find p s + 1 n j + 1 Z s n j + 1 T s n j + 1 − p s n j Z s n j T s n j h r n 2 τ = − k n s p s + 1 n j + 1 − p s + 1 n − 1 j + 1 h, j = 0, j 0 − 1. ¯ Open image in new window (10).

The design variables include two types of boundaries, i.e., the traction free boundary and the Dirichlet boundary.

Others were observed near the plate boundaries, i.e., along the IBM arc or Huatung Basin.

Consider a basin with closed zonal boundaries (i.e., the eastern and western coastlines of a basin of arbitrary shape).

Thermally insulating and hydraulically impermeable conditions are imposed at the bottom and upstream vertical boundaries (i.e., x = 5000 m).

Due to high potential error rates [3], PAs without polygon boundaries (i.e., point representation only) were not included.