### Analysis of the Thermal Stability of a Vibrationally Non-Equilibrium Molecular Gas with Fixed Vibrational Energy Flowing in a Circular TubeAnalysis of the Thermal Stability of a Vibrationally Non-Equilibrium Molecular Gas with Fixed Vibrational Energy Flowing in a Circular Tube

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 Author Younis, Salahdeen M. Source SpringerLink Content type Text Publisher Springer-Verlag File Format PDF Copyright Year ©2010 Language English
 Subject Domain (in DDC) Technology ♦ Engineering & allied operations Subject Keyword Molecular energy transfer ♦ Heat transfer ♦ Science ♦ Engineering Abstract The thermal stability of a vibrationally non-equilibrium molecular gas with a fixed vibrational energy flowing in a circular tube with a constant surface temperature was theoretically analyzed. The analysis determined the boundaries for the existence of the vibrationally non-equilibrium gas state. It was shown that the upper bound for the existence of a vibrationally non-equilibrium state of a molecular gas increases linearly with increasing Reynolds number over the investigated range, 0 ≤ Re ≤ 550. It also increases when the length of the tube relative to its radius is decreased, and when the non-dimensional quantity, ${\delta ={\frac{\rho\varepsilon_{\rm eq}({\rm T}_{\rm S}){\rm r}_{0}^{2}}{\lambda\tau({\rm T}_{\rm S}){\rm T}_{\rm S}}}}$ , is decreased. In this non-dimensional quantity, ρ is the density of the gas, T$_{S}$ is the tube surface temperature, τ is the gas vibrational relaxation time, ε $_{eq}$ is the gas vibrational energy at T$_{S}$, and λ is the gas coefficient for heat conduction. To obtain a large storage of excess vibrational energy, low values of δ must be used. ISSN 13198025 Age Range 18 to 22 years ♦ above 22 year Educational Use Research Education Level UG and PG Learning Resource Type Article Publisher Date 2011-01-06 Publisher Place Berlin, Heidelberg e-ISSN 21914281 Journal Arabian Journal for Science and Engineering Volume Number 36 Issue Number 1 Page Count 7 Starting Page 137 Ending Page 143