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International Communications in Heat and Mass Transfer
journal homepage: www.elsevier.com/locate/ichmt
An improved double diffusion analysis of non-Newtonian chemically
reactive fluid in frames of variables properties
M. Waqas
a,
⁎
, W.A. Khan
b,
⁎
, Z. Asghar
a
a
NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad 44000, Pakistan
b
School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
ARTICLE INFO
Keywords:
Generalized Fourier-Fick laws
Chemical reaction
Jeffrey material
Heat source
Variable thermal conductivity
Nonlinear convection
Variable mass diffusivity
ABSTRACT
Stretching flows subject to heat/mass transference have implication in contemporary research era and industry
because of their diverse demands in chemical systems and engineering. Such demands encompass filaments,
paper fabrication, glass fiber and polymer sheets. Owing to such prospective demands, we interpreted the Jeffrey
liquid reactive flow under non-linear convection. We scrutinized the transference of heat/mass under general-
ized Fourier-Fick relations. Thermal conductivity depends on temperature while mass diffusivity is dependent on
concentration. Besides, heat source along with first-order chemical reaction aspects are accounted. Relevant
transformations are exerted to achieve non-linear differential systems which are solved through homotopy
scheme. Influences of significant factors are exhibited via graphical benchmark.
1. Introduction
The dual dispersion aspect regarding steady flows transpires sub-
jected to molecular diffusion and convection and this aspect facilitates
to elaborate the differences frequently witnessed between transport
factors evaluated along fundamental directions of liquid flow for cogi-
tated configurations. The advancement of dual dispersion aspect has
been predominantly interrelated to solute spreading and miscible dis-
placement in absorbent medium. These regions are of foremost re-
levance to heat stowage beds, contamination rheostat in water resource
engineering, ceramic processing, tertiary and secondary oil retrieval
processes. In uncharacteristic configuration, for illustration in chock-
full beds, the liquid transportation through complicated tracks will lead
towards dual dispersion aspects at pore extent within porous media.
With regards to aforesaid applications, numerous investigators have
evaluated the dual dispersion aspects under miscellaneous geometries
[1–7].
The simultaneous evaluation of heat/mass transference procures
momentous significance in polymer industry and engineering activities.
Extensive utilizations of such aspects include propylene flares, heat
exchangers, energy transfiguration in chilling towers and amputation of
post fortuitous heat in nuclear reactors. The concept of solutal along
with thermal transference obeying hyperbolic type instead of con-
ductive diffusion relation is associated to initial kinetic concept elabo-
rated by Maxwell. To a certain extent, this research stems from Fourier
heat formula [8] having parabolic genus, wherein thermal instabilities
are generated subject to infinite velocity. Hyperbolic generalizations
[9] in well-known Fourier heat formula devastate such inadequacies
owing to heat signals traveling like heat waves. Such waves possess
physical implication in corneal heating, energy transportation, surgical
systems, radio-frequency heating, thermal shocks and thermohaline
convection [10]. Few recent researches about heat/mass transference
under improved laws (Fourier-Fick) are stated in Refs. [11–15].
Indeed various simulation algorithms [16–20] are utilized for non-
linear analysis. Here, we opted homotopy scheme [21–25] for compu-
tational analysis. The innovation of current investigation encompasses
following attributes:
i. Non-linear convection is accounted because this aspect has demands
in geophysics, drying processes, oceanography etc.
ii. First-order chemical reaction consideration for mass transference
analysis. Such aspect has implication in hydrometallurgical dili-
gences. Particular examples encompass smog formation. In addi-
tion, heat source characteristics are accounted which meaningfully
contributes to heating/cooling activities.
iii. Heat transference process is elaborated considering generalized
Fourier relation. Previous information featuring heat transference
process was reported through Fourier law. Generally, incorporation
of thermal relaxation time in heat flux expression yield hyperbolic-
type expression. The computations of hyperbolic-type expression
https://doi.org/10.1016/j.icheatmasstransfer.2020.104524
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Corresponding authors.
E-mail addresses: muhammadwaqas@nutech.edu.pk (M. Waqas), waqarazeem@bit.edu.cn (W.A. Khan).
International Communications in Heat and Mass Transfer 115 (2020) 104524
Available online 11 May 2020
0735-1933/ © 2020 Elsevier Ltd. All rights reserved.
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