Next Article in Journal
Development of ELISA-Like Fluorescence Assay for Melamine Detection Based on Magnetic Dummy Molecularly Imprinted Polymers
Next Article in Special Issue
A Gas-Kinetic BGK Scheme for Natural Convection in a Rotating Annulus
Previous Article in Journal
An Evolutionary-Based MPPT Algorithm for Photovoltaic Systems under Dynamic Partial Shading
Previous Article in Special Issue
A Lattice Boltzmann Method and Asynchronous Model Coupling for Viscoelastic Fluids
Article Menu
Issue 4 (April) cover image

Export Article

Open AccessArticle
Appl. Sci. 2018, 8(4), 559; https://doi.org/10.3390/app8040559

Heat Transfer in Non-Newtonian Flows by a Hybrid Immersed Boundary–Lattice Boltzmann and Finite Difference Method

School of Engineering and Information Technology, University of New South Wales, Canberra, ACT 2600, Australia
*
Authors to whom correspondence should be addressed.
Received: 8 March 2018 / Revised: 2 April 2018 / Accepted: 3 April 2018 / Published: 4 April 2018
(This article belongs to the Special Issue Development and Applications of Kinetic Solvers for Complex Flows)
Full-Text   |   PDF [1963 KB, uploaded 3 May 2018]   |  

Abstract

A hybrid immersed boundary–lattice Boltzmann and finite difference method for fluid–structure interaction and heat transfer in non-Newtonian flow is presented. The present numerical method includes four parts: fluid solver, heat transfer solver, structural solver, and immersed boundary method for fluid–structure interaction and heat transfer. Specifically, the multi-relaxation time lattice Boltzmann method is adopted for the dynamics of non-Newtonian flow, with a geometry-adaptive technique to enhance the computational efficiency and immersed boundary method to achieve no-slip boundary conditions. The heat transfer equation is spatially discretized by a second-order up-wind scheme for the convection term, a central difference scheme for the diffusion term, and a second-order difference scheme for the temporal term. The structural dynamics is numerically solved using a finite difference method. The major contribution of this work is the integration of spatial adaptivity, thermal finite difference method, and fluid flow immersed boundary-lattice Boltzmann method. Several benchmark problems including the developing flow of non-Newtonian fluid in a channel, non-Newtonian fluid flow and heat transfer around a stationary cylinder and flow around a stationary cylinder with a detached filament are used to validate the present method and developed solver. The good agreements achieved by the present method with the published data show that the present extension is an efficient way for fluid–structure interaction and heat transfer involving non-Newtonian fluid. The heat transfer around an oscillating cylinder in non-Newtonian fluid flow at Reynolds number of 100 is also numerically studied using the present solver, considering the effects of the oscillating frequency and amplitude. The results may be used to expand the currently limited database of fluid–structure interaction and heat transfer benchmark studies. View Full-Text
Keywords: immersed boundary method; lattice Boltzmann method; heat transfer; non-Newtonian fluid immersed boundary method; lattice Boltzmann method; heat transfer; non-Newtonian fluid
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Wang, L.; Tian, F.-B. Heat Transfer in Non-Newtonian Flows by a Hybrid Immersed Boundary–Lattice Boltzmann and Finite Difference Method. Appl. Sci. 2018, 8, 559.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Appl. Sci. EISSN 2076-3417 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top