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Theory and Numerics for Convective Heat Transport in Nanofluids

Title data

Faghih-Naini, Sara:
Theory and Numerics for Convective Heat Transport in Nanofluids.
Erlangen , 2019
(Master's, 2019 , Friedrich-Alexander-Universität Erlangen-Nürnberg)

Abstract in another language

Nanotechnology has drawn the interest of many researchers for some years and is considered to be one of the significant forces that drive the next major industrial revolution of this century. Since thermal conductivity of conventional heat transfer fluids such as water, oil and ethylene glycol is a primary limitation in the construction of e.g. compact engineering electronic devices with high performance, there exists a strong motivation to develop advanced heat transfer fluids with substantially higher conductivities to enhance thermal characteristics. The central problem addressed in this thesis is a convective heat transport model for nanofluids, specifically a thermodynamically consistent version of the celebrated Buongiorno model. We propose a semi–discretization in time that fully decouples the subproblems. Also for this semidiscrete problem, an energy estimate can rigorously be shown. Based on this energy estimate it is proved that solutions of the semi–discrete problem converge to a weak solution of the system.
We use the time discretization to define an effective, fully discrete finite element scheme. Simulations are performed for a nanofluid flowing through a pipe that is heated periodically in time at one lateral wall and a lid driven cavity with a triangular heat source placed within. Careful inspection of the computational results reveal the mechanisms of enhanced heat transfer by nanofluids through thermophoresis: the temperature gradient at the wall leads to a reduced concentration of nanoparticles. This reduces the concentration dependent viscosity of the suspension close to the boundary, which in turn leads to a stronger convective transport.

Further data

Item Type: Master's, Magister, Diploma, or Admission thesis (Master's)
Keywords: nanouid; thermophoresis; heat transfer; energy estimate; weak solution
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Lehrstuhl Wissenschaftliches Rechnen
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics >
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > >
Research Institutions
Research Institutions > Research Centres
Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS)
Research Institutions > Research Centres > Forschungszentrum für Wissenschaftliches Rechnen an der Universität Bayreuth - HPC-Forschungszentrum
Result of work at the UBT: No
DDC Subjects: 000 Computer Science, information, general works
000 Computer Science, information, general works > 004 Computer science
500 Science
500 Science > 500 Natural sciences
500 Science > 510 Mathematics
500 Science > 550 Earth sciences, geology
600 Technology, medicine, applied sciences
600 Technology, medicine, applied sciences > 600 Technology
Date Deposited: 14 Nov 2019 07:41
Last Modified: 14 Nov 2019 07:41
URI: https://eref.uni-bayreuth.de/id/eprint/53224