Sentence examples for by introducing two dimensionless from inspiring English sources

It is possible to systemise the results by introducing two dimensionless numbers.

By introducing two dimensionless parameters as indicative of the mass flow rates for the refrigerator, the new model allows detailed analyses on the finite mass flow rate allocation problem of working fluids among the hot- and cold-side heat exchangers of Carnot refrigerators.

By introducing two dimensionless parameters, which express the energy transfer efficiency from the kinetic energy of media to the particles and the motion of media in the mill, respectively, the media mills could be characterized on a uniform scale based on the applied energy regardless of milling mechanism.

We replace the radial distance, r, the disk height, zs, and the disk temperature, T, by dimensionless variables η, v, and u, respectively: (11 Furthermore, we introduce two dimensionless parameters which are given by: (12 where Tg is the temperature corresponding to the gravitational potential energy at the stellar surface; originally introduced by CG97 as: (13).

In this regard, we introduce two dimensionless characteristic quantities, useful for understanding relationships that exist between the velocity and wall distance.

We introduce three new dimensionless groups for this problem which only depend upon physical properties and control parameters.

By introducing a dimensionless feature variable, it is now possible and convenient to compare the transient behaviors of the two different physical processes (particle mixing and heat transfer).

By introducing the dimensionless coupling torques and the characteristics of the corresponding limited functions, the synchronization criterion for three exciters is obtained.

The analytical solution to the problem using the eigenvectors method is obtained following the transformation of the equations into a dimensionless form by introducing the following dimensionless variables: q = q * q 0, θ i = ( T i − T C ) k f q 0 r 0 *, r = r * r 0 *, t = α e t * r 0 * 2 (22).

By introducing the dimensionless variables, Eqs.

Before the dimensionless equations are presented we tidy up the presentation by introducing some dimensionless parameters.