Viscous heating in fluids with temperature-dependent viscosity: implications for magma flows
By Antonio Costa, G. Macedonio. 2003
611 citations recorded by the source corpus.
Abstract. Viscous heating plays an important role in the dynamics of fluids with strongly temperature-dependent viscosity because of the coupling between the energy and momentum equations. The heat generated by viscous friction produces a local temperature increase near the tube walls with a consequent decrease of the viscosity which may dramatically change the temperature and velocity profiles. These processes are mainly controlled by the Peclet number, the Nahme number, the flow rate and the thermal boundary conditions. The problem of viscous heating in fluids was investigated in the past for its practical interest in the polymer industry, and was invoked to explain some rheological behaviours of silicate melts, but was not completely applied to study magma flows. In this paper we focus on the thermal and mechanical effects caused by viscous heating in tubes of finite lengths. We find that in magma flows at high Nahme number and typical flow rates, viscous heating is responsible for the evolution from Poiseuille flow, with a uniform temperature distribution at the inlet, to a plug flow with a hotter layer near the walls. When the temperature gradients induced by viscous heating are very pronounced, local instabilities may occur and the triggering of secondary flows is possible. For completeness, this paper also describes magma flow in infinitely long tubes both at steady state and in transient phase.
Subfields: Computational Mechanics, Fluid Flow and Transfer Processes
View Paper: https://www.semanticscholar.org/paper/d1d295a3d3d8f1f9155f70758f3bafbb170456d7
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
In Fluid Flow and Transfer Processes
Citations in the corpus
- Copulas‐based risk analysis for inter‐seasonal combinations of wet and dry conditions under a changing climate (2018, background): “The argument of WXYt a,τð Þ is usually interpreted as the time delay between x(t) and y(t) at the time position τ on the scale a (Maraun and Kurths, 2004).”
- Optimization code with weighting function for the reconstruction of coronal magnetic fields (2008, methodology): “Without weighting function (w = 1) the method has been developed by (Wheatland et al., 2000) for the force-free case and by (Wiegelmann and Inhester, 2003) for the non force-free case.”
- Oil and the macroeconomy: using wavelets to analyze old issues (2011, background): “…spectrum for two reasons: (1) the wavelet coherency has the advantage of being normalized by the power spectrum of the two time-series, and (2) Maraun and Kurths (2004) show that the wavelet cross spectrum can show strong peaks even for the realization of independent processes suggesting the…”
- A wavelet cross-spectral analysis of solar-ENSO-rainfall connections in the Indian monsoons (2010, methodology): “Such limitations have been commented upon also by Maraun and Kurths [19].”
- Dynamics of magma flow inside volcanic conduits with bubble overpressure buildup and gas loss through permeable magma (2005, neutral): “Due to radial temperature variation the Poiseuille formula for the friction force is also not strictly valid (Costa and Macedonio, 2003).”
- Time-dependent spectral analysis of epidemiological time-series with wavelets (2007, methodology): “Wavelet analysis for epidemiological time series B. Cazelles et al. 631 Maraun & Kurths (2004) propose a set of R functions (www.agnld.uni-potsdam.de/wmaraun/wavelets/) whereas Grinsted et al. (2004) have extended the MATLAB functions of Torrence & Compo (www.pol.ac.…”