Transient hydrodynamic gravity driven flow of a viscous incompressible fluid down an inclined plane occupying semi-infinite region space bounded by infinite hot plate is studied. The effect modified Froude number plays important role in determining the situation. Exact solution obtained employing Laplace transform method. This problem concerned with car – following theory subjected to traffic d...

The fused pyrazole and pyrimidine rings in the title compound, C13H10ClN3, are almost coplanar, their planes being inclined to one another by 0.8 (2)°. The mean plane of the fused ring system is nearly coplanar with the phenyl ring, as indicated by the dihedral angle between their planes of 9.06 (7)°.

The asymmetric unit of the title compound, C20H24N2, contains one half-mol-ecule, with the single C-C bond of the 1,4-di-aza-butadiene fragment situated on a centre of symmetry. The benzene rings are inclined to the 1,4-di-aza-butadiene mean plane by 59.5 (1)°.

In title compound, C(8)H(8)F(3)NO, the meth-oxy group is inclined at 8.7 (4)° to the benzene ring plane. The crystal structure is stabilized by inter-molecular N-H⋯F, N-H⋯N and C-H⋯F hydrogen-bonding inter-actions.

The scaling properties of granular flows down an inclined plane are investigated in a model previously proposed to describe surface flows on a sandpile. Introducing a depth dependent friction, we are able to reproduce the results obtained experimentally by Pouliquen @Phys. Fluids 11, 542 ~1999!; 11, 1956 ~1999!# on both the fronts velocities and their shapes. © 2002 American Institute of Physic...

The multi-membered Evolution Strategy (ES) acting on parents and oospring is analyzed for real-valued, N-dimensional parameter spaces (N > 30). N-dependent progress rate formulas are derived for (1;) and (;) strategies on spherical models. The analytical results obtained are compared with simulation experiments for the (hyper)sphere and the inclined (hyper)plane.

In the title mol-ecule, C(16)H(15)N(3), the indole ring system is planar within 0.021 (3) Å and the phenyl ring is inclined to this plane by 17.32 (14)°. π-π contacts involving the pyrrole rings of inversion-related indole units [centroid-centroid distance = 3.5187 (17) Å] stabilize the crystal structure.