Abstract
Stationary heat conduction is considered in a monatomic gas between two co-axial cylinders which are at rest in a non-inertial frame. Instead of the usual Navier-Stokes-Fourier theory we employ the more reliable 13-moment theory of extended thermodynamics. Three surprising observations are made:
-
There is a tangential heat flux between the cylinders.
-
No rigid rotation of the heat conducting gas is possible.
-
There is a normal pressure field in the axial direction.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Müller, L, Ruggeri, T. (1993): Extended thermodynamics. (Springer Tracts in Natural
Philosophy, vol. 37). Springer, New York
Müller, L, Ruggeri, T. (1998): Rational extended thermodynamics. Second ed. (Springer
Tracts in Natural Philosophy, vol. 37). Springer, New York
Bhatnagar, PL., Gross, E.P., Krook, M. (1954): A model for collision processes in gases.
I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev.
94,511–525
Grad, H. (1958) Principles of the kinetic theory of gases. In: Flügge, S. (ed.) Handbuch der Physik, Bd. 12. Thermodynamik der Gase. Springer, Berlin, pp. 205–294
Müller, L, Ruggeri, T. (2000): Stationary heat conduction in radially symmetric situations — an application of extended thermodynamics. Submitted
Müller, I. (1972): On the frame dependence of stress and heat flux. Arch. Rational Mech. Anal. 45, 241–250
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Italia, Milano
About this chapter
Cite this chapter
Barbera, E., Müller, I. (2003). Heat Conduction in a Non-Inertial Frame. In: Podio-Guidugli, P., Brocato, M. (eds) Rational Continua, Classical and New. Springer, Milano. https://doi.org/10.1007/978-88-470-2231-7_1
Download citation
DOI: https://doi.org/10.1007/978-88-470-2231-7_1
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-2233-1
Online ISBN: 978-88-470-2231-7
eBook Packages: Springer Book Archive