Then, the momentum conservation
equation was as follows:
They deduced the energy and momentum conservation
law on the light-quantum and electron system quantum mechanically, which Compton hypothesized, and derived a formula giving the angular distribution of the intensity of the scattered wave.
Since the mass conservation, momentum conservation
, and turbulence equations were not solved in the solid region, no large number of grids were required in this part.
Also, at the first approximation, the special-relativistic momentum conservation
(21) reduces to the Newtonian momentum conservation
equation in the absence of external field:
The fluid flow in a screw supercharger must follow the law of physical conservation, which basically includes the law of mass conservation, the law of momentum conservation
, and the law of energy conservation.
The governing equations in our model which simulates ventilation inside chemical laboratories are mass conservation (continuity), momentum conservation
, energy conservation and species transport equation.
[PHI]=1, U, e, c corresponding to continuity, momentum conservation
, energy conservation and species transport equation respectively.
METASURFACE-FIELD LOCAL INTERACTION IN SPACE AND MOMENTUM CONSERVATION
mass and momentum conservation
equations, are transformed using the similarity transformations to a nonlinear ordinary differential equation (ODE), and then the resulting ODE is solved using the homotopy perturbation method (HPM).
However this conclusion contradicts results obtained in the same time from the Balazs thought experiment  based on the generally accepted law of the momentum conservation
. It is shown theoretically that a transparent block through which a light pulse is propagating without reflection should be displaced in a direction of the propagation of the light pulse.
The mass conservation equations (1a)(1c), the generalized water flow formula (2), the momentum conservation
equation (5), the effective stress principle (7), the entropy increase equation (8a)-(8c)-(10a), and (10b), and the constitutive model of the mechanical field form a THM coupling model for saturated soils.
Equations 1 and 2 are mass and momentum conservation