Abstract:
The steady-state mass transfer of a chemically active impurity to the surface of a stationary dumbbell-shaped particle consisting of two solid contacting reacting spheres of different sizes is analyzed theoretically. The surrounding medium is at rest, and the numerical concentration of the reagent at a large distance from the aggregate of the spheres is maintained constant. The first-order chemical heterogeneous reaction occurs at a high finite rate and is assumed to be isothermal. The solution to the boundary-value diffusion problem is described by a Laplace axisymmetric equation in the system of tangential-spherical coordinates of revolution. A system of two second-order linear perturbed ordinary differential equations with variable coefficients are obtained using the zero-order integral Hankel transformation and its properties from the boundary conditions for transformed functions. Partial integrals and the mean auxiliary Sherwood numbers are obtained approximately. The solution to the formulated problem is used in various technological applications associated with combustion or chemical reactions at the interface between the continuous and discrete phases in the dispersed system, in meteorology, in analysis of problems associated with environmental pollution, etc.
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