Advances in Heat Transfer of Non-Newtonian Fluids

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Fluid Science and Technology".

Deadline for manuscript submissions: closed (30 August 2023) | Viewed by 5755

Special Issue Editors

Centre for Research in Computational & Applied Mechanics, University of Cape Town, Rondebosch 7701, South Africa
Interests: heat and mass transfer; non-newtonian fluid mechanics; viscoelastic fluids and flows; non-isothermal fluid dynamics; computational fluid dynamics
Faculty of Military Science, Stellenbosch University, Saldanha 7395, South Africa
Interests: thin film theory; non-newtonian fluids; computational fluid dynamics; heat and mass transfer; non-isothermal fluid dynamics
School of Mathematics, Statistics & Computer Science, Pietermaritzburg campus, University of KwaZulu-Natal, Scottsville 3209, South Africa
Interests: computational fluid dynamics; numerical modeling; fluid mechanics; numerical analysis; engineering thermodynamics; numerical simulation; engineering, applied and computational mathematics; CFD simulation; modeling and simulation; biomechanics

Special Issue Information

Dear Colleagues,

This Special Issue is devoted to research on contemporary developments in the heat transfer characteristics of the flow of non-Newtonian fluids. Research papers in this direction are invited from computational, experimental, or theoretical approaches (or any combination thereof). For consideration, each research paper must include the two important fluid dynamical aspects in their investigation, namely, the heat transfer (or non-isothermal flow) aspect and the non-Newtonian fluid aspect. Comparative investigations, e.g., on heating and cooling applications, between non-Newtonian fluids and Newtonian fluids or between different types of non-Newtonian fluids are welcomed. Non-Newtonian fluids will be considered in the broadest sense, ranging from generalized Newtonian fluids to viscoelastic fluids. Contributions on the development of novel computational, experimental, or theoretical methodologies to study the non-isothermal flow of non-Newtonian fluids are also welcomed.

Dr. Tiri Chinyoka
Prof. Dr. Samuel M. Tshehla
Prof. Dr. Precious Sibanda
Guest Editors

Manuscript Submission Information

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Published Papers (5 papers)

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Research

15 pages, 4266 KiB  
Article
Heat Transfer Investigation in Plus-Shaped Enclosure Using Power Law Fluid: A Finite Element Approach
by Imran Shabir Chuhan, Jing Li, Ziyu Guo, Muhammad Yaqub and Malik Abdul Manan
Appl. Sci. 2023, 13(19), 11042; https://doi.org/10.3390/app131911042 - 07 Oct 2023
Cited by 1 | Viewed by 684
Abstract
The main purpose of this study is to investigate the thermal behavior of power law fluid within a plus-shaped cavity under the influence of natural convection, also taking into account the Darcy number and magnetohydrodynamics (MHD). The problem is formulated as a system [...] Read more.
The main purpose of this study is to investigate the thermal behavior of power law fluid within a plus-shaped cavity under the influence of natural convection, also taking into account the Darcy number and magnetohydrodynamics (MHD). The problem is formulated as a system of partial differential equations considering the power law fluid’s rheological behavior. The left-side walls are maintained at a specific low temperature while the lower and the right-side walls have uniform maximum temperatures. The boundary condition is designed to enhance heat transfer efficiency within the cavity, utilizing advanced thermal insulation methodologies. Finite element method (FEM) simulations are conducted, and a grid independence test is performed to validate the results. The impact of relevant parameters on the variation in momentum and thermal distributions is investigated using streamline and isothermal contour plots. The results indicate that as the Rayleigh number increases, the kinetic energy also increases, whereas the viscosity and circulation zones expand with an increase in the power law index. The Nusselt number exhibits a higher value in the shear-thinning case (n = 0.7) compared to the Newtonian (n = 1) and shear-thickening (n = 1.2) cases. This empirical observation underscores the vital role that fluid rheology plays in molding the overall heat transfer performance within the cavity. The study concludes that there is a distinct correlation between the heat transfer rate and the Rayleigh number (Ra). As Ra increases, there is a significant improvement in the heat transfer rate within the flow domain. Furthermore, the fluid behavior and heat transfer performance within the cavity are significantly influenced by the presence of magnetohydrodynamics (MHD) and the Darcy effect. Full article
(This article belongs to the Special Issue Advances in Heat Transfer of Non-Newtonian Fluids)
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19 pages, 2470 KiB  
Article
Numerical Investigation of Natural Convention to a Pseudoplastic Fluid in a Long Channel using a Semi-Implicit Scheme
by Tiri Chinyoka
Appl. Sci. 2023, 13(5), 3224; https://doi.org/10.3390/app13053224 - 02 Mar 2023
Cited by 2 | Viewed by 809
Abstract
We develop and computationally analyze a mathematical model for natural convection to a non-Newtonian fluid in a long and thin channel. The channel is bounded by antisymmetric heated and cooled walls and encloses a non-Newtonian pseudoplastic fluid. The flow and heat transfer characteristics [...] Read more.
We develop and computationally analyze a mathematical model for natural convection to a non-Newtonian fluid in a long and thin channel. The channel is bounded by antisymmetric heated and cooled walls and encloses a non-Newtonian pseudoplastic fluid. The flow and heat transfer characteristics are investigated subject to the prevailing buoyancy forces resulting from the combined natural convection and gravitational effects. An efficient and accurate semi-implicit finite difference algorithm is implemented in time and space to analyse the model equations. In the case when the fluid flow and heat transfer are sustained for a long enough time to allow for steady states to develop, the model equations would reduce to a boundary value problem. Even in such cases, we demonstrate that, by recasting the problem as an initial boundary value problem, our numerical algorithms would still converge in time to the relevant, steady-state solutions of the original boundary value problem. We also demonstrate the dependence of solutions on the embedded parameters at a steady state. Full article
(This article belongs to the Special Issue Advances in Heat Transfer of Non-Newtonian Fluids)
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15 pages, 525 KiB  
Article
Entropy Optimization in MHD Nanofluid Flow over an Exponential Stretching Sheet
by Precious Sibanda, Mohammed Almakki, Zachariah Mburu and Hiranmoy Mondal
Appl. Sci. 2022, 12(21), 10809; https://doi.org/10.3390/app122110809 - 25 Oct 2022
Cited by 6 | Viewed by 998
Abstract
We numerically investigate mixed convective heat and mass transport in incompressible nanofluid flow through an exponentially stretching sheet with temperature-dependent viscosity. The fluid flow equations are transformed to a system of non-linear ordinary differential equations using appropriate similarity transformations and solved numerically by [...] Read more.
We numerically investigate mixed convective heat and mass transport in incompressible nanofluid flow through an exponentially stretching sheet with temperature-dependent viscosity. The fluid flow equations are transformed to a system of non-linear ordinary differential equations using appropriate similarity transformations and solved numerically by using the multi-domain bivariate spectral quasi-linearization technique. The fast convergence of the method is shown by demonstrating that the error is exponentially small for a finite number of iterations. The significance and impact of different fluid parameters are presented and explained. For engineering relevance, the entropy generation number has been calculated for different fluid parameter values. Full article
(This article belongs to the Special Issue Advances in Heat Transfer of Non-Newtonian Fluids)
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33 pages, 1574 KiB  
Article
Modelling and Analysis of Viscoelastic and Nanofluid Effects on the Heat Transfer Characteristics in a Double-Pipe Counter-Flow Heat Exchanger
by Anele Mavi, Tiri Chinyoka and Andrew Gill
Appl. Sci. 2022, 12(11), 5475; https://doi.org/10.3390/app12115475 - 28 May 2022
Cited by 4 | Viewed by 1124
Abstract
This study computationally investigates the heat transfer characteristics in a double-pipe counter-flow heat-exchanger. A heated viscoelastic fluid occupies the inner core region, and the outer annulus is filled with a colder Newtonian-Fluid-Based Nanofluid (NFBN). A mathematical model is developed to study the conjugate [...] Read more.
This study computationally investigates the heat transfer characteristics in a double-pipe counter-flow heat-exchanger. A heated viscoelastic fluid occupies the inner core region, and the outer annulus is filled with a colder Newtonian-Fluid-Based Nanofluid (NFBN). A mathematical model is developed to study the conjugate heat transfer characteristics and heat exchange properties from the hot viscoelastic fluid to the colder NFBN. The mathematical modelling and formulation of the given problem comprises of a system of coupled nonlinear partial differential Equations (PDEs) governing the flow, heat transfer, and stress characteristics. The viscoelastic stress behaviour of the core fluid is modelled via the Giesekus constitutive equations. The mathematical complexity arising from the coupled system of transient and nonlinear PDEs makes them analytically intractable, and hence, a recourse to numerical and computational methodologies is unavoidable. A numerical methodology based on the finite volume methods (FVM) is employed. The FVM algorithms are computationally implemented on the OpenFOAM software platform. The dependence of the field variables, namely the velocity, temperature, pressure, and polymeric stresses on the embedded flow parameters, are explored in detail. In particular, the results illustrate that an increase in the nanoparticle volume-fraction, in the NFBN, leads to enhanced heat-exchange characteristics from the hot core fluid to the colder shell NFBN. Specifically, the results illustrate that the use of NFBN as the coolant fluid leads to enhanced cooling of the hot core-fluid as compared to using an ordinary (nanoparticle free) Newtonian coolant. Full article
(This article belongs to the Special Issue Advances in Heat Transfer of Non-Newtonian Fluids)
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12 pages, 5047 KiB  
Article
Physical Survey of Thermally Heated Non-Newtonian Jeffrey Fluid in a Ciliated Conduit Having Heated Compressing and Expanding Walls
by Sohail Nadeem, Salman Akhtar, Shahah Almutairi, Hassan Ali Ghazwani and Samah Elsayed Elkhatib
Appl. Sci. 2022, 12(10), 5065; https://doi.org/10.3390/app12105065 - 17 May 2022
Cited by 2 | Viewed by 1300
Abstract
An analytical study is reported that highlights the physical aspects for a heated non-Newtonian Jeffrey liquid in a duct possessing sinusoidally moving ciliated walls. A comprehensive and specific convection analysis is conveyed for this ciliated elliptic duct problem by considering the viscous dissipation [...] Read more.
An analytical study is reported that highlights the physical aspects for a heated non-Newtonian Jeffrey liquid in a duct possessing sinusoidally moving ciliated walls. A comprehensive and specific convection analysis is conveyed for this ciliated elliptic duct problem by considering the viscous dissipation effects. The dimensional mathematical problem under consideration is transformed into its dimensionless form by means of appropriate and useful transformations. Then, velocity and temperature equations are exactly evaluated with given boundary conditions. The velocity profile is integrated over the elliptic cross-section and exact mathematical solution is obtained for the pressure gradient. Moreover, the distinct physical flow properties combined with the convection heat transfer phenomenon are discussed in detail through graphical outcomes. The illustrative streamline description shows an enhancing closed contour size with increasing Q (dimensionless flow rate). Full article
(This article belongs to the Special Issue Advances in Heat Transfer of Non-Newtonian Fluids)
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