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Applied Sciences
Special Issues
Rheology of Newtonian and Non-Newtonian Fluids
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Rheology of Newtonian and 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 (20 January 2023) | Viewed by 3814

Special Issue Editor

Prof. Dr. Zafar Hayat Khan

E-Mail Website
Guest Editor
State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource and Hydropower, Sichuan University, Chengdu 610065, China
Interests: industrial mathematics

Special Issue Information

Dear Colleagues,

Rheology is a branch of physics concerned with the deformation of solids and fluids under the impact of various forces. Fluids are broadly classified as Newtonian fluids and non-Newtonian fluids. These types of fluids’ thermal behavior and flow control are extremely important in a variety of practical scenarios, such as in thermal and chemical industrial processes, food processing, crystal growth, hydrology, polymer engineering, geophysics, and heat exchangers, to name a few. More efforts for the advancement of this field are still considered vital.

This Special Issue on fluid rheology aims to gather the latest advances in the field exploring different phenomena relevant to the theory as well as industrial applications. Therefore, a venue is provided for researchers to present substantial, original, and previously unpublished research that will advance the discipline and favorably impact the journal and research community.

Prof. Dr. Zafar Hayat Khan
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • rheology
  • inviscid flow
  • viscous flow
  • magnetohydrodynamics
  • heat transfer
  • mass transfer
  • nanofluids
  • numerical simulation

Published Papers (2 papers)

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Research

18 pages, 1700 KiB  
Article
Predictor–Corrector Scheme for Electrical Magnetohydrodynamic (MHD) Casson Nanofluid Flow: A Computational Study
by Yasir Nawaz, Muhammad Shoaib Arif and Kamaleldin Abodayeh
Appl. Sci. 2023, 13(2), 1209; https://doi.org/10.3390/app13021209 - 16 Jan 2023
Cited by 17 | Viewed by 1089
Abstract
The novelty of this paper is to propose a numerical method for solving ordinary differential equations of the first order that include both linear and nonlinear terms (ODEs). The method is constructed in two stages, which may be called predictor and corrector stages. [...] Read more.
The novelty of this paper is to propose a numerical method for solving ordinary differential equations of the first order that include both linear and nonlinear terms (ODEs). The method is constructed in two stages, which may be called predictor and corrector stages. The predictor stage uses the dependent variable’s first- and second-order derivative in the given differential equation. In literature, most predictor–corrector schemes utilize the first-order derivative of the dependent variable. The stability region of the method is found for linear scalar first-order ODEs. In addition, a mathematical model for boundary layer flow over the sheet is modified with electrical and magnetic effects. The model’s governing equations are expressed in partial differential equations (PDEs), and their corresponding dimensionless ODE form is solved with the proposed scheme. A shooting method is adopted to overcome the deficiency of the scheme for solving only first-order boundary value ODEs. An iterative approach is also considered because the proposed scheme combines explicit and implicit concepts. The method is also compared with an existing method, producing faster convergence than an existing one. The obtained results show that the velocity profile escalates by rising electric variables. The findings provided in this study can serve as a helpful guide for investigations into fluid flow in closed-off industrial settings in the future. Full article
(This article belongs to the Special Issue Rheology of Newtonian and Non-Newtonian Fluids)
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13 pages, 1034 KiB  
Article
Fluid Flow Development in a Pipe as a Demonstration of a Sequential Change in Its Rheological Properties
by Dmitry Nikushchenko, Valery Pavlovsky and Elena Nikushchenko
Appl. Sci. 2022, 12(6), 3058; https://doi.org/10.3390/app12063058 - 17 Mar 2022
Cited by 3 | Viewed by 1714
Abstract
The sequence of the process of changing the velocity profiles and the laws of resistance during the flow of a fluid in a pipe is considered. With the increasing of the Reynolds number, we obtain the transition of the flow regime from laminar [...] Read more.
The sequence of the process of changing the velocity profiles and the laws of resistance during the flow of a fluid in a pipe is considered. With the increasing of the Reynolds number, we obtain the transition of the flow regime from laminar to turbulent. In the presence of small additives of polymers, when the Toms effect is observed in the fluid flow, the turbulent regime changes with a further increase in the Reynolds number to another regime, the rheology of which leads to laminar velocity profiles and corresponding resistance laws. Then, with an increase in the Reynolds number for polymer solutions, the limiting Virk flow regime with its own rheology is reached. All the mentioned flow regimes and all types of rheology can be described using one rheological relation, which is a power-law generalization of Newton’s formula, by changing the values of the power value in this ratio upon reaching the corresponding critical Reynolds numbers. This generalization can be extended to the spatial case of flow and the rheological relation can be represented in tensor form with a further system of differential equations for a fluid flow with an arbitrary rheology. After that, boundary value problems in fluid mechanics can be solved for any fluid flow regime. Full article
(This article belongs to the Special Issue Rheology of Newtonian and Non-Newtonian Fluids)
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