The rate of chemical reaction at the surface of non-porous catalytic sphere in concentration and temperature gradients—II: Stability of nonisothermal solutions

✍ Scribed by J.C. Friedly; E.E. Petersen

• Publisher: Elsevier Science
• Year: 1964
• Tongue: English
• Weight: 811 KB
• Volume: 19
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(64)85089-2

✦ Synopsis

The stability of the muhiple steady state solutions to the problem of a non-isothermal reaction at a spherical surface in the presence of large concentration gradients is rigorously determined. Solutions which are located in either the kinetically controlled or the diffusion controlled regimes are found to be stable. The solution which lies between these extremes is unstable.

The partial differential equations which describe the unsteady behaviour of this system are solved for perturbations away from the steady state by the method of Laplace transformations.

The solution is put into a form from which the stability criterion can be determined by a modification of the Nyquist method. The solution method and the techniques employed to determine the stability are believed to be generally applicable to questions of stability in distributed parameter systems.