Convective Transport in Nanofluids: Regularity of Solutions and Error Estimates for Finite Element Approximations

Bänsch E, Morin P (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Journal of Mathematical Fluid Mechanics Springer Verlag (Germany)

Book Volume: 23

Journal Issue: 2

DOI: 10.1007/s00021-020-00554-y

Abstract

We study the stationary version of a thermodynamically consistent variant of the Buongiorno model describing convective transport in nanofluids. Under some smallness assumptions it is proved that there exist regular solutions. Based on this regularity result, error estimates, both in the natural norm as well as in weaker norms for finite element approximations can be shown. The proofs are based on the theory developed by Caloz and Rappaz for general nonlinear, smooth problems. Computational results confirm the theoretical findings.

Authors with CRIS profile

Eberhard Bänsch Lehrstuhl für Angewandte Mathematik (Wissenschaftliches Rechnen)

Involved external institutions

National University of the Littoral / Universidad Nacional del Litoral (UNL) AR Argentina (AR)

How to cite

APA:

Bänsch, E., & Morin, P. (2021). Convective Transport in Nanofluids: Regularity of Solutions and Error Estimates for Finite Element Approximations. Journal of Mathematical Fluid Mechanics, 23(2). https://doi.org/10.1007/s00021-020-00554-y

MLA:

Bänsch, Eberhard, and Pedro Morin. "Convective Transport in Nanofluids: Regularity of Solutions and Error Estimates for Finite Element Approximations." Journal of Mathematical Fluid Mechanics 23.2 (2021).

BibTeX: Download