Energy transference in time‐dependent Cattaneo–Christov double diffusion of second‐grade fluid with variable thermal conductivity

Ali, Haider; Ayub, Assad; Madassar, Naeem; Ali, Rao Kashif; Sabir, Zulqurnain; Shah, Syed Zahir Hussain; Kazmi, Syed H.

doi:10.1002/htj.22274

Cited by 25 publications

(10 citation statements)

References 40 publications

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“…There are several numerical techniques in literature [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62] but in this study, we used Bvp4c technique [11][12][13][14][15][16][17][18][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81][82] which is a very useful and rapid scheme for solution nonlinear systems of ODEs. Its matlab mechanism is listed in Chart 1.…”

Section: Methodsmentioning

confidence: 99%

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Influence of motile gyrotactic microorganisms over cylindrical geometry attached Cross fluid flow mathematical model

Darvesh

Chero²,

Sánchez‐Chero

et al. 2023

Heat Trans

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The aim of this study is to examine the impact of motile gyrotactic microorganisms on threedimensional (3D) cylindrical geometry attached to a Cross-fluid flow mathematical model. The motion of the microorganisms is assumed to be governed by gyrotaxis, which is the tendency of the organisms to orient and swim perpendicular to fluid flow gradients.The study will incorporate the effects of the Cross fluid flow model with infinite shear rate viscosity, 3D cylinder geometry, and microorganism behavior on the resulting distribution and concentration of the organisms. For the inspection of the velocity profile of the Cross nanofluid, the inclined magnetic field is scrutinized. The temperature of Cross nanofluid and its concentration is also studied with several facts. Mass flux and heat flux values for motile microorganisms and nanoparticles are calculated through statistical graphs. Brownian motion parameter gives a lower concentration of nanoparticles, about 81.19% and 77.53% reduction is found in the concentration of motile microorganisms. These results will provide insights into the behavior of these microorganisms in

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Section: Methodsmentioning

confidence: 99%

“…There are several numerical techniques in literature 48–62 but in this study, we used Bvp4c technique 11–18,63–82 which is a very useful and rapid scheme for solution nonlinear systems of ODEs. Its matlab mechanism is listed in Chart 1.…”

Section: Methodsmentioning

confidence: 99%

Influence of motile gyrotactic microorganisms over cylindrical geometry attached Cross fluid flow mathematical model

Darvesh

Chero²,

Sánchez‐Chero

et al. 2023

Heat Trans

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Section: Introductionmentioning

confidence: 99%

“…Owing to the incorporation of nanoparticles, thermal conductivity is increased and hence rapid heat transport takes place. Nanofluid has vital applications in engineering, [1][2][3][4][5] chemical industry, [6][7][8][9][10] and in thermal science, [11][12][13][14] and so forth. Mahian et al's 15 valuable work related to fundamentals and theory about advancement in modeling of nanofluid flows.…”

Section: Introductionmentioning

confidence: 99%

Characterization of Cross nanofluid based on infinite shear rate viscosity with inclination of magnetic dipole over a three‐dimensional bidirectional stretching sheet

Darvesh

Altamirano

Chero³

et al. 2022

Heat Trans

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Fluid viscosity manages several engineering processes and keeps its leading role in lubrication models, biological models, polymer processes, melt solutions, colloidal suspensions, and mayonnaise. The cross viscosity model is the most appropriate model, which interprets the key features of non-Newtonian fluids in the region of shear-thinning/thickening when very high and very low shear rates are applied. This article focuses on the mathematical model of threedimensional Cross nanofluid and interprets its aspect of infinite shear rate of viscosity over the expanding sheet. Velocity is studied through placing inclined magnetic dipole effect, transportation phenomenon is brought by considering the radiation effects, heat generation and chemical process is engaged for concentration of nanoparticles. The geometry of this mathematical model is expanding the stretching sheet with velocity slip, and convective heat conditions are associated. Similarity variables are being utilized for conversion dimensional mathematical model into nondimensional one. For the pursuit of numerical solution of the system of nondimensional

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“…The Carreau nanofluid viscosity model can explain features of non-Newtonian fluids in the shear-thinning/thickening regions. Carreau viscosity model and thermal radiation under the influence of non-uniform heat source/sink transportation phenomenon of heat over the surface was discussed by Assad et al 10 and Ali et al 11 analyzed the characteristics of upper-convected second grade nanofluid thin film flow over a time-dependent stretching sheet with variable thermal conductivity and Cattaneo–Christov double diffusion theory.…”

Section: Introductionmentioning

confidence: 99%

Thermo diffusion impacts on the flow of second grade fluid with application of (ABC), (CF) and (CPC) subject to exponential heating

Rehman

Riaz

Wojciechowski

2022

Sci Rep

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The aim of this article is to investigate the exact solution by using a new approach for the thermal transport phenomena of second grade fluid flow under the impact of MHD along with exponential heating as well as Darcy’s law. The phenomenon has been expressed in terms of partial differential equations, then transformed the governing equations in non-dimentional form. For the sake of better rheology of second grade fluid, developed a fractional model by applying the new definition of Constant Proportional-Caputo hybrid derivative (CPC), Atangana Baleanu in Caputo sense (ABC) and Caputo Fabrizio (CF) fractional derivative operators that describe the generalized memory effects. For seeking exact solutions in terms of Mittag-Leffler and G-functions for velocity, temperature and concentration equations, Laplace integral transformation technique is applied. For physical significance of various system parameters on fluid velocity, concentration and temperature distributions are demonstrated through various graphs by using graphical software. Furthermore, for being validated the acquired solutions, accomplished a comparative analysis with some published work. It is also analyzed that for exponential heating and non-uniform velocity conditions, the CPC fractional operator is the finest fractional model to describe the memory effect of velocity, energy and concentration profile. Moreover, the graphical representations of the analytical solutions illustrated the main results of the present work. Also, in the literature, it is observed that to derived analytical results from fractional fluid models developed by the various fractional operators, is difficult and this article contributing to answer the open problem of obtaining analytical solutions the fractionalized fluid models.

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Energy transference in time‐dependent Cattaneo–Christov double diffusion of second‐grade fluid with variable thermal conductivity

Cited by 25 publications

References 40 publications

Influence of motile gyrotactic microorganisms over cylindrical geometry attached Cross fluid flow mathematical model

Influence of motile gyrotactic microorganisms over cylindrical geometry attached Cross fluid flow mathematical model

Characterization of Cross nanofluid based on infinite shear rate viscosity with inclination of magnetic dipole over a three‐dimensional bidirectional stretching sheet

Thermo diffusion impacts on the flow of second grade fluid with application of (ABC), (CF) and (CPC) subject to exponential heating

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