Thermal radiation effects on flow of Jeffery fluid in converging and diverging stretchable channels

Ahmed, Naveed; Abbasi, Adnan; Khan, Umar; Mohyud‐Din, Syed Tauseef

doi:10.1007/s00521-016-2831-5

Cited by 20 publications

(12 citation statements)

References 30 publications

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“…Convergent/divergent channels have useful applications: for example, in metal stream resistors, fiber manufacturing, production of plastic sheets, wire, and glasses. Turkyilmazoglu [2], Dogonchi and Ganji [3], Ahmed et al [4], and Mishra et al [5] have inspected the same model for the fluid flow using the concept of shrinking/stretching in converging/diverging channels.…”

Section: Introductionmentioning

confidence: 99%

The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery

et al. 2021

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This research work aims to scrutinize the mathematical model for the hybrid nanofluid flow in a converging and diverging channel. Titanium dioxide and silver (TiO2 and Ag) are considered as solid nanoparticles while blood is considered a base solvent. The couple-stress fluid model is essentially use to describe the blood flow. Therefore, the couple-stress term was used in the recent study with the existence of a magnetic field and a Darcy–Forchheiner porous medium. The heat absorption/omission and radiation terms were also included in the energy equation for the sustainability of drug delivery. An endeavor was made to link the recent study with the applications of drug delivery. It has already been revealed by the available literature that the combination of TiO2 with any other metal can destroy cancer cells more effectively than TiO2 separately. Both the walls are stretchable/shrinkable, whereas flow is caused by a source or sink with α as a converging/diverging parameter. Governing equations were altered into the system of non-linear coupled equations by using the similarity variables. The homotopy analysis method (HAM) was applied to obtain the preferred solution. The influences of the modeled parameters have been calculated and displayed. The confrontation of wall shear stress and hybrid nanofluid flow increased as the couple stress parameter rose, which indicates an improvement in the stability of the base fluid (blood). The percentage (%) increase in the heat transfer rate with the variation of nanoparticle volume fraction was also calculated numerically and discussed theoretically.

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Section: Introductionmentioning

confidence: 99%

The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery

et al. 2021

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“…Their study established that enhanced behavior of volume fraction of nanoparticles diminished the temperature fields. Impact of radiation on flow of Jeffry fluid towards stretchable diverging as well as converging channels was proposed by Ahmed et al [7]. In their study, it was mentioned that increase in the values of Reynolds number reduced the velocity of shrinking divergent channel and consistently increased the shrinking convergent channel velocity.…”

Section: Introductionmentioning

confidence: 93%

Roles of nanoparticles and heat generation/absorption on MHD flow of Ag–H2O nanofluid via porous stretching/shrinking convergent/divergent channel

et al. 2020

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This article unveils the combined impact of heat generation/absorption and Joule heating on MHD flow of Ag-H 2 O nanofluid into a porous stretching/shrinking divergent/ convergent channel with viscous dissipation and solid volume fraction. The mathematical modeling is presented for the existing equations of continuity, momentum, and energy fraction. The reduced boundary value problem is solved numerically employing Runge-Kutta-Fehlberg (RKF) method via shooting scheme and then the outcomes are sketched and interpreted. The results explore that the thermal boundary layer thickness of the stretching divergent and the shrinking divergent channels enhance by increasing the value of the Eckert number, while the opposite tendency is scrutinized on the momentum boundary layer thickness by increasing the value of the porosity parameter for the stretching divergent and the shrinking convergent channels.

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“…Now, invoking equations ( 5), ( 8), (9), and (10) into governing equations ( 1)-( 4), we get the following dimensional system of flow equations [21][22][23]33]:…”

Section: Basic Equationsmentioning

confidence: 99%

Numerical simulation for heat and mass transport of non-Newtonian Carreau rheological nanofluids through convergent/divergent channels

Hashim

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Recent studies on fluid flows have shown that the non-Newtonian fluid flows through convergent/divergent channels with heat and mass transport analysis of nanofluids has triggered many researchers because of their occurrence in biomedicine, cavity flow model, flow through canals, and cold drawing operations. Moreover, heat enhancement during fluid flow plays an important role in different engineering applications, which can be achieved by improving fluid thermal physical properties. Therefore, the present study aims at providing a novel mathematical model for non-Newtonian Carreau rheological fluid flow through convergent/divergent channels by employing Buongiorno’s nanofluids model. The governing system of partial differential equations for Carreau fluid flow is formulated via basic conservation laws, for the first time in literature. The dimensionless variables are introduced to get the non-dimensional forms of the governing equations. The resultant system of ordinary differential equtions (ODEs) is numerical integrated using Runge-Kutta Fehlberg method with shooting technique, which is an efficient numerical technique to determine the numerical solutions of ODEs. The varying patterns of non-dimensional velocities, temperature, and concentration fields along with skin-friction, Nesselt and Sherwood numbers are simulated for various eminent physical parameters with converging and diverging walls. The underlying flow physics and thermal behavior are explored in terms of pertinent parameters, for instance, Reynolds number, channel angle, Prandtl number, Brownian motion parameter and thermophoresis parameter. From the present numerical simulations, we have concluded that the Reynolds number has an opposite effect on dimensionless velocity for convergent and divergent channels. It is recognized that the fluid velocity increases with higher values of Weissenberg number for convergent channel. Moreover, the temperature distributions enhance for larger Brownian motion parameter.

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Thermal radiation effects on flow of Jeffery fluid in converging and diverging stretchable channels

Cited by 20 publications

References 30 publications

The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery

The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery

Roles of nanoparticles and heat generation/absorption on MHD flow of Ag–H2O nanofluid via porous stretching/shrinking convergent/divergent channel

Numerical simulation for heat and mass transport of non-Newtonian Carreau rheological nanofluids through convergent/divergent channels

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