Sentence examples for in dimensional form from inspiring English sources

The proposed models, in dimensional form, express the film thickness and radial velocity as functions of cone geometrical and operating parameters.

The governing equations in mathematical formulation of the mixture model for average steady-state conditions in dimensional form, following the analysis given in [25 27, 29, 30, 33], are: Conservation of mass: (1).

The flow velocity is given in dimensional form by multiplying the input velocity specified earlier for the COMSOL simulation by the channel height of 60 μm and width of 2 mm.

end{aligned} (20)In the absence of dust charge variations ((beta _{text{d}}=0)), this Eq. (20) can be written in dimensional form, as begin{aligned} omega ^2=frac{k^2 C_{text{ s }}^2(delta _{text{i}}-1)}{(delta _{text{i}}+sigma )}, end{aligned}which is the phase velocity of the usual DAW in the long wavelength limit [4].

In order to analyze the global behavior, the thrust displacement relationship shown in Fig. 17 for the arch characterized by the ratio t/R being equal to 0.11, modified in a dimensional form, is superimposed in Fig. 21.

The time increment Δt is set as 0.001 in the non-dimensional form, which corresponds to 24.0 (s) in the dimensional form.

Average skin friction coefficient in non dimensional form: Cf avg μ nf μ f ∫ 0 1 ∂ u ∂ y y = 0 dx.

Below, we discuss some differences between our study and previous studies and summarize our scaling laws in a dimensional form.

The quantity φ ∗ in (17b) is the solution of the accurate streamfunction Eq. (17a) associated with EPV in a dimensional form.

In a dimensional form, these equations read begin{array}rcl@ frac {partial widetilde{u}_{j}}{partial widetilde{x}_{j}} &=& 0, end{array} (16).

Under these assumptions, the boundary layer equations governing the flow can be written in the dimensional form [18, 25] ∂ u ∂ x + ∂ v ∂ y = 0, (3).