For the past 150 years, feedlot monitoring has been the responsibility of a select few employees, who visually gauge the amount of feed in concrete troughs, called bunks. However, this visual inspection by humans is inherently imprecise, subjective, and inconsistent, varying from person...
Compute the rain radar cross-section. Use rainreflectivity to compute the volume reflectivity of the scattering particles. Get volref = rainreflectivity(f,rr); rcs = clutterVolumeRCS(volref,res); Plot the rain radar cross-section as a function of the rain rate. Express the cross-section in...
Y. Chen, "Volume integral equation solution of extinction cross section by raindrops in the range 0.6-100 GHz," IEEE Transaction on Antennas and Propagation, Vol. 49, No. 3, 494-499, 2001.Lin, D.-P., and H.-Y. Chen,"Volume Integral Equation Solution of Extinction Cross Section by ...
The derivation of the finite volume equations commences by integrating the governing PDE over the cells constituting the computational domain. In the case of the Poisson equation, this yields (1.14)∫Vi∇2ϕ dV=∫ViSϕ dV, where Vi is the volume of the i-th cell. The volume integ...
(4)∫tixjdS=∫σiknkxjdS=∫(σikxj),kdV=∫σik,kxjdV+∫σikδjkdV whereti=σijnjare the boundary tractions onS,njis the unit normal vector toS, andxdenotes the position of boundary points in a Cartesian reference system. In view ofequilibrium equationsσik,k=0, with no body forces...
b, c The measured cell RIs and volumes based on the equations discussed in the main text. Inset to c shows the measured cell volume versus the expected volume for spheres of equal cross section to the imaged cells. Cells falling above the blue line are slightly prolate, cells falling below...
It must be noted that in this study, to reproduce the bonding between filaments and layers due to compression by the nozzle, instead of using the circu- lar cross-section of filaments, they are approximated as a rounded rectangular cross-section with a certain small amount of overlap between ...
The integral over the three-momentum k is replaced by a sum and, instead of τ (k∗), its finite-volume counterpart appears, see eqs. (1.1) and (1.2). The Faddeev equation becomes a system of linear equations that determines the finite-volume counterpart of the amplitude M on the ...
The examples of lumped models presented in Section 5.3 gave rise to ordinary differential equations. These were equations in which the left-hand side of the equality took the form dx/dt, the rate at which the dependent variable x is changing with respect to time t, the independent variable....
The scattering cross section is multiplied by the number density of CB to obtain the scattering coefficient μs, which is on the order of 10−20 mm−1 for the CB concentrations in the range of interest, many orders of magnitude below μa, and thus negligible. Once the proper CB-...