Bosanquet equation

Equation 5 is generally referred to as the Bosanquet equation. When component i participates in the reaction, the effective dif-fusivity for that component can be derived by substituting the stoichiometric relations, Equations 3, into Equations 1 to obtain ... 

The effective transition diffusivity is calculated from the Bosanquet equation assuming equimolar counter diffusion, which is what happens with isomerization reactions ... 

In the transition region the transport resistances are assumed to be in series as expressed by the Bosanquet equation ... 

For a barrier whose separation performance on UF is given by the Bosanquet equation (14.58),... 

Methods of estimating gaseous effluent concentrations have undergone many revisions. For a number of years, estimates of concentrations were calculated from the equations of Sutton, with the atmospheric dispersion parameters C, C, and n, or from the equations of Bosanquet with the dispersion parameters p and Q. More common approaches are based on experimental observation that the vertical distribution of spreading particles from an elevated point is... 

In the equations, lc and la represent the thickness of the cathode and of the anode respectively P is the total pressure, and A,eff represents the effective diffusion coefficient of the species i (either at the anode or at the cathode). To evaluate the effective diffusion coefficient, the Bosanquet formula [11] has been used ... 

For the reaction A — B at steady state, diffusion in the pore is equimolar counterdiffusion, Na = -Nb, and a = 0. The composition dependence in Equation 2.52 is passed on to particle diffu-sivities (Dg) and presents an important drawback in the integration of intraparticle diffusion-reaction equations. However, diffusion fluxes in multicomponent systems may be diverse, and it has been indicated that, on the whole, the dependence of Dcomb on composition is rather weak, and therefore, common practice has been to use the simpler composition-independent form of the equation [7, 9, 32] this additive resistance relationship is the Bosanquet formula [17, 33] ... 

In 1923, Bosanquet pointed out that in Lucas—Washburn equation the velocity goes to infinity for t = 0. This physically impossible situation was a result of neglecting inertial effects. He described the motion of the meniscus with the following differential equation (obtained from the one-dimensional Navier-Stokes equations)... 

A very simple equation was proposed by Quere following the same approach as Bosanquet... 

For multicomponent systems the diffusive flux terms may be written in accordance with the approximate Wilke bulk flux equation (2.450), the approximate Wilke-Bosanquet combined bulk and Knudsen flux for porous media (2.454), the rigorous Maxwell-Stefan bulk flux equations (2.421), and the consistent dusty gas combined bulk and Knudsen diffusion flux for porous media (2.504). The different mass based diffusion flux models are listed in Table 2.3. The corresponding molar based diffusion flux models are listed in Table 2.4. In most simulations, the catalyst pellet is approximated by a porous sphericai pellet with center point symmetry. For such spherical pellets a representative system of pellet model equations, constitutive laws and boundary conditions are listed in Tables 2.5,2.6 and 2.7, respectively. 

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