Dimensional constant

Theoretically the apparent viscosity of generalized Newtonian fluids can be found using a simple shear flow (i.e. steady state, one-dimensional, constant shear stress). The rate of deformation tensor in a simple shear flow is given as... 

Example Buckingham Pi Method—Heat-Transfer Film Coefficient It is desired to determine a complete set of dimensionless groups with which to correlate experimental data on the film coefficient of heat transfer between the walls of a straight conduit with circular cross section and a fluid flowing in that conduit. The variables and the dimensional constant believed to be involved and their dimensions in the engineering system are given below ... 

Fluid thermal conductivity = k = (F/6T) Fluid specific heat = Cp = (FUMT) Dimensional constant = gc = (ML/F6 )... 

Two-dimensional constant matrix, transition state trajectory, white noise, 203-207 Two-pathway excitation, coherence spectroscopy atomic systems, 170-171 channel phases, 148-149 energy domain, 178-182 extended systems and dissipative environments, 177-185 future research issues, 185-186 isolated resonance, coupled continuum, 168-169... 

For the most part, in this book we use SI dimensions and units (SI stands for le systeme international d unites). A dimension is a name given to a measurable quantity (e.g., length), and a unit is a standard measure of a dimension (e.g., meter (for length)). SI specifies certain quantities as primary dimensions, together with their units. A primary dimension is one of a set, the members of which, in an absolute system, cannot be related to each other by definitions or laws. All other dimensions are secondary, and each can be related to the primary dimensions by a dimensional formula. The choice of primary dimensions is, to a certain extent, arbitrary, but their minimum number, determined as a matter of experience, is not. The number of primary dimensions chosen may be increased above the minimum number, but for each one added, a dimensional constant is required to relate two (or more) of them. 

The capacity of a nozzle is conveniently described by the flow number, FN a dimensional constant defined by ... 

These results suggest that the signals arise from dipole-dipole coupled protons. Kreis et al. confirmed this finding by measurements using one-dimensional zero- and double-quantum filtering, two-dimensional J-resolved spectroscopy, two-dimensional constant time COSY and longitudinal order separation... 

API has launched Apifive, a new line of crosslinked, expanded EVAs that, unlike conventional EVAs, have a matt finish. API has developed these new products by introducing a series of elastomers into the EVAs, it is briefly reported. The compounds are especially suitable for insoles, where the requirements are for matt, very soft and dimensionally constant parts, and for quality soles for mounting or milling. 

Similarity Relations for One-Dimensional, Constant-Area Channel Flow with Chemical Reactions. Similarity relations between stagnation temperature and mass fractions obtain during flow in a channel of constant cross section, provided a binary mixture approximation is used for the diffusion coefficient, the Lewis number is set equal to unity, the Prandtl number is set equal to 3/4, and a constant value is employed for the species and average isobaric specific heats. [The assumption that the species (cPii) and average (cp = 2YiCp,i) isobaric specific heats are... 

The solution to every dimensionally homogeneous physical equation has the form %2, %2,. ..), = 0, in which Ui, nj, nj o represent a complete set of dimensionless groups of the variables and the dimensional constants of the equation. 

If an equation contains n separate variables and dimensional constants, and these are given dimensional formulas in terms of m primary quantities (dimensions), the number of dimensionless groups in a complete set is (n—m). 

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