As per continuity equation
, the mass flow rate (product of fluid density, tube's cross-sectional area, and the fluid velocity) remains constant throughout the capillary tube.
It will be shown that in the far zone, where radiative EM fields prevail, the generalized EM energy-momentum tensor yields the standard continuity equation
(Poynting theorem), hence implying equal propagation (retardation) rates for both bound and radiative EM field components.
Equation (3) is the continuity equation
expressing the conservation of mass.
A continuity equation
is derived for the conserved energetic field quantities averaged over the waveguide cross section.
, motion equation and constitutive equation are used as follows:
The topics are fluid properties, fluid statics, flowing fluids and pressure variation, the control volume approach and the continuity equation
, momentum equation, the energy equation, dimensional analysis and similitude, surface resistance, flow in conduits, drag and lift, compressible flow, flow measurements, turbomachinery, and flow in open channels.
The partial differential equations (pdes) governing fluid flow and heat transfer include the continuity equation
, the Navier-Stokes equations and the energy equation (Grigore &Popa, 2009).
Pressure-velocity coupling is achieved by discretisation of the continuity equation
to derive an equation for pressure from the discrete continuity equation
To derive the continuity equation
of a phase, the Boltzmann equation is multiplied by the characteristic mass of the phase and is integrated over the velocity space.
The terms responsible for the gravity wave speed are the pressure gradient term in the momentum equation, g[nabla][zeta], and the divergence term in the continuity equation
Redefining the gravitational energy density and the gravitational pressure density, the continuity equation
has been satisfied.
The corresponding continuity equation
of an incompressible fluid is