In Equation (3.105) ve is the velocity of the electron and re is the effective orbital radius of the electron in an s state; for example, the frequency of arrival of the electron at the barrier is on the order of 1015–1016/s. The time τ (lifetime) during which the transition ...
Combined effects of magnetohydrodynamics and radiation on nano Sisko fluid towards a nonlinear stretching sheet T. Mahmood, Z. Iqbal, J. Ahmed, A. Shahzad, M. Khan Pages 2458-2469 View PDF Article preview select article Stretched flow of Oldroyd-B fluid with Cattaneo-Christov heat flux Research...
Sinceuis the solution of the forward problem, it is clear that the forward equation must be solved before the adjoint equation, which, however, remains strictly linear. A useful interpretation of the adjoint equation is that it solves the original PDE but with the mismatch between observations an...
where the parameters\(\omega _{\mathrm{M}}^\prime\)andDcan be obtained by comparing this motion equation with equation (7). The effective mechanical gain
when combined with eqs. ( 5.43 ), ( 5.52 ), ( 5.53 ), ( 5.54 ), ( 5.56 ) the last equation gives a set of coupling relations $$\begin{aligned} -\frac{\alpha _1}{3}&= -\frac{\gamma _1}{3} = -\frac{\beta _1}{2}= \frac{\beta _3}{2} = \frac{\beta _4}{2} ...
M. R. Excitonic effects in the optical properties of 2D materials: an equation of motion approach. 2D Mater. 4, 025086 (2017). Article Google Scholar Dou, X., Ding, K., Jiang, D. & Sun, B. Tuning and identification of interband transitions in monolayer and bilayer molybdenum ...
Numerical treatment for solving a model of non-Newtonian Casson fluid flow over an extensible sheet based on maritime field A numerical solution for steady-state, incompressible, laminar Casson fluid flow and heat transfer in the combined region of a boundary layer is presented ... NI Ghoneim -...
Inner symmetries of the spatially singular part of the solutions of the Burgers equation and their Lie representations G. Barad, E. Czeizler, A. Paun Article 103322 View PDF Article preview select article Hiemenz flow over a shrinking sheet in a hybrid nanofluid Research articleOpen access Hieme...
Equation (7.72), discussed in previous subsections, identifies the charge density as the source and sinks of the electric field, and causes E to be divergenceless in places where there is no charge density. When Eq. (7.72) is integrated over a region of volume, it yields Gauss’ law, ...
where the velocity field is described by the incompressible Toner-Tu equation55,56combined with a Swift-Hohenberg term57for pattern formation, support this observation. However, in contrast to high-Reynolds-number hydrodynamic turbulence, which is governed by inertia, the internal stress due to self...