The thermal analysis in a cylindrical pipe with surface cooling and possible heat loss

ABSTRACT

This present study investigates the steady state of exothermic chemical reaction in a cylindrical pipe, taking into consideration the possible heat loss to the ambient due to Newtons law of cooling. The energy equation with generalized Arrhenius chemical kinetics is solved via Modified Adomian Decomposition Method combined with Padé approximants to extract numerical approximations of the critical explosion of Frank–Kamenetskii parameter (${\delta }_{cr}$) and the dimensionless maximum temperature (${\theta }_{maxcr}$). The present parametric examination of the effects of Biot number ($Bi$), heat loss parameter ($\beta$), activation energy parameter ($\epsilon$) and the exponent of the generalized Arrhenius kinetic on the ${\delta }_{cr}$ and ${\theta }_{maxcr}$ provide quantitative properties for the sensitized reaction kinetics.

KEYWORDS:

• Criticality
• cylindrical pipe
• modified adomian decomposition method
• Padé approximant