First-order energy-integral model for thin Newtonian liquids falling along sinusoidal furrows

2012 ◽  
Vol 85 (3) ◽  
Author(s):  
I. Mohammed Rizwan Sadiq
Keyword(s):  
Integral Model ◽  
Energy Integral ◽  
First Order ◽  
Order Energy ◽  
Newtonian Liquids

Berechnung der Spin-Spin-Koppelkonstante von HD mit nichtsingulärem Kontaktoperator / Calculation of the NMR Coupling Constant in HD by Using a Nonsingitlar Contact Operator

1973 ◽  
Vol 28 (11) ◽  
pp. 1866-1868 ◽  
Author(s):  
W. Sänger ◽  
J. Voitländer
Keyword(s):  
Delta Function ◽  
Spin Coupling ◽  
Coupling Constant ◽  
Coupling Energy ◽  
First Order ◽  
Order Energy ◽  
Spatial Part ◽  
Fermi Contact ◽  
Contact Operator ◽  
Spin Spin Coupling

The Fermi contact contribution to the nuclear spin-spin coupling constant of HD is calculated variationally. Instead of the delta-function a modified nonsingular contact spatial part is used. The self-coupling energy becomes finite and the variation of the whole second-order energy due to a non- singular first-order perturbed trial function can be carried out.

Fluid Inertia Effects in Non-Newtonian Squeeze Films

1976 ◽  
Vol 98 (3) ◽  
pp. 409-411 ◽  
Author(s):  
A. F. Elkouh
Keyword(s):  
Load Capacity ◽  
Squeeze Film ◽  
Energy Integral ◽  
Fluid Inertia ◽  
Inertia Effects ◽  
First Order ◽  
Integral Methods ◽  
Method Yield ◽  
Pseudoplastic Fluids ◽  
Good Agreement

The momentum and energy integral methods are used to study the effect of inertia on the behavior of a non-Newtonian (Power Law) squeeze film. It is shown that the inertia correction in the load capacity is more significant for pseudoplastic fluids, n < 1. For a Newtonian fluid, n = 1, the expressions obtained by using the energy integral method yield results identical to those obtained from a first-order iteration, and which are in good agreement with available experiments.

The gravitational-electromagnetic Noether operator and the second-order energy flux

1991 ◽  
Vol 435 (1895) ◽  
pp. 635-644 ◽  
Keyword(s):  
Electromagnetic Field ◽  
Stress Tensor ◽  
Stationary Solution ◽  
Energy Flux ◽  
Second Order ◽  
First Order ◽  
Energy Current ◽  
Order Energy

The Noether operator for gravity is recalled and that for the electromagnetic field derived, its difference from the electromagnetic stress tensor being pointed out. It is then shown how the Noether operator’s defining equation leads, in the case of perturbations about a stationary solution, to a conserved energy current depending quadratically on the first-order perturbations alone. The formal background of the paper by Chandrasekhar & Ferrari is thereby clarified.

Der Rotations-Zeeman-Effekt der l-Typ-Übergänge linearer Molekeln. OCS und HCN

1970 ◽  
Vol 25 (4) ◽  
pp. 547-559
Author(s):  
W. Hüttner ◽  
K. Morgenstern
Keyword(s):  
Ground State ◽  
Vibrational State ◽  
Magnetic Moments ◽  
Zeeman Effect ◽  
Molecular Axis ◽  
Vibrational States ◽  
First Order ◽  
Vibrational Ground State ◽  
Order Energy ◽  
The Magnetic Field

AbstractThe high-field rotational Zeeman effect has been observed in several rotational transitions of the (010) vibrational state in OCS and HCN. The magnetic-field splittings are in agreement with a simple first-order energy expression which is derived to hold for the Zeeman energies of rotation-vibrational states of a linear polyatomic molecule showing rotational l-type-doubling. In this way, the presence of intrinsic magnetic moments in the π-vibrational states has been shown experimentally. The g-values along the molecular axis are gǁ(010)= +0.061 ± 0.002 for OCS and gǁ(010)=±0.38 ± 0.06 for HCN. No magnetic anisotropics could be detected within the plane perpendicular to the molecular axis. The other parameters measured are g⊥(010)= -0.0285 ± 0.0006 and (χ⊥ - χǁ)(010) = (8.0 ±1.0) × 10-6 erg/G2mole for OCS and gǁ(010) = ∓ 0.100 ±0.001 for HCN which "can be considered an approximate value for the vibrational ground-state. Either the upper or the lower signs hold for the g-values of HCN. The intrinsic g-values, gǁ(010) , are discussed in terms of nuclear and electronic contributions. A quantity measuring the slip of a rotating nuclear framework within its electronic environment is defined and also discussed.

Sign in / Sign up

Export Citation Format

Share Document