DIFFUSING SPECIES INTO SOME HOST METALS IN SPHERICAL SOLIDS

Akaezue Nelson  Nwagbogwu; Ngiangia Alalibo  Thompson,; Onyeaju Michael  Chukwudi

doi:10.4314/vnf87276

Authors

Akaezue Nelson Nwagbogwu Department of physics, University of Port Harcourt, P.M.B 5323 Choba, Port Harcourt, Nigeria https://orcid.org/0009-0008-9205-1353
Ngiangia Alalibo Thompson, Department of physics, University of Port Harcourt, P.M.B 5323 Choba, Port Harcourt, Nigeria https://orcid.org/0000-0001-7642-2419
Onyeaju Michael Chukwudi Department of physics, University of Port Harcourt, P.M.B 5323 Choba, Port Harcourt, Nigeria https://orcid.org/0000-0002-9485-0465

DOI:

https://doi.org/10.4314/vnf87276

Abstract

This study examined the diffusion of some species into somehost metals in spherical solids. The time dependent diffusion equation in radial spherical coordinate was transformed into time independent equation resulting into Bessel’s differential equation of order zero and solution sought using the Frobenius method to enable us determine the concentration of the system. The resulting solution with the fractional Stokes-Einstein model was used to plot graphs to enable us determines the effect of the fractional exponent and temperature on the different diffusing species. Temperature rise results in an early saturation or convergence which later diverges indicating the increase in the concentration of the diffusing species. As the fractional exponent increases, it is observed that concentration of the diffusing species is enhanced. A model to determine the diffusion coefficient of the host metals is also suggested. The distinct approach and findings of this work contribute valuable advancement in the field of diffusion analysis and have potential implications for a variety of applications involving solid-state materials.