An immediate change in viscosity of Carreau nanofluid due to double stratified medium: application of Fourier’s and Fick’s laws

Khan, Mair; Salahuddin, T.; Malik, M.Y.

doi:10.1007/s40430-018-1371-6

Cited by 33 publications

(16 citation statements)

References 36 publications

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“…Waqas et al [14] introduced heat source concept in mixed convective Burgers material subjected to improved Fourier-Fick expression. Variable liquid aspects in stratified Carreau nanoliquid subject to improved Fourier law are examined by Khan et al [15].…”

Section: Introductionmentioning

confidence: 99%

A modified Fourier-Fick analysis for modeling non-Newtonian mixed convective flow considering heat generation

et al. 2020

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Original scientific paper https://doi.org/10.2298/TSCI181005335AHomotopic solutions for Jeffrey material in frames of buoyancy forces are constructed in this research. The improved Fourier-Fick laws are considered for formulation. In addition, variable liquid aspects (thermal conductivity, mass diffusivity) along with heat source are accounted. Prandtl's boundary-layer idea is utilized to model the problem. Involvement of similarity variables resulted into non-linear system of coupled equations. The well-known homotopic scheme is employed for non-linear analysis. Besides, a comprehensive discussion is reported for arising dimensionless variables vs. significant profiles. Our results indicate a rise in thermal and solutal fields when variable conductivity and mass diffusivity parameters are increased.

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Section: Introductionmentioning

confidence: 99%

A modified Fourier-Fick analysis for modeling non-Newtonian mixed convective flow considering heat generation

et al. 2020

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“…Common heat transfer fluids, such as water, all kinds of glycols, and mineral oil possess low thermal conductivity, which is insufficient to satisfy requirements in the rate of the cooling that are then used as other options to increase the rate of heat transfer in such fluids. Recently, much work related to the nanofluid has been reported . It is worth mentioning that all above researchers considered the MHD effect in nanofluids.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, much work related to the nanofluid has been reported. 23,24 It is worth mentioning that all above researchers considered the MHD effect in nanofluids. One of the objectives of this study is to consider nanofluids without the effect of MHD and suction.…”

mentioning

confidence: 99%

Stefan Blowing and Slip Effects on Unsteady Nanofluid Transport Past a Shrinking Sheet: Multiple Solutions

Dero

Uddin

Rohni

2019

Heat Trans. Asian Res.

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The aim of a present article is to investigate the laminar unsteady two‐dimensional boundary layer flow of a nanofluid with Stefan blowing and slip effect. First, governing boundary layer equations are converted in the ordinary form of the differential equations (ODEs) from partial differential equations using appropriate coordinate transformations. The obtained ODEs are then solved by applying a shooting method with the Runge‐Kutta fourth order method by implementation of the Maple software. The influences of different controlling dimensionless parameters over the dimensionless velocity, temperature, concentration, friction factor, local heat as well as mass transfer have been discussed and represented by plots. It is found that there exist dual solutions for the different applied nanofluid parameters along with the blowing parameter. The results reveal that by increasing the values of the Brownian motion (Nb), thermophoresis (Nt) and blowing parameters (fw), the skin friction increases (decreases) in the first (second) solution.

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“…Nadeem et al (2013) investigated the two-dimensional boundary layer equations for Williamson liquid induced by a stretching surface. Kumaran and Sandeep (2017) (Farooq et al, 2018;Hayat et al, 2016a;Hayat et al, 2015;Khan et al, 2018d;Khan et al, 2018e;Hayat et al, 2016b).…”

Section: Introductionmentioning

confidence: 99%

Variable diffusion and conductivity change in 3D rotating Williamson fluid flow along with magnetic field and activation energy

Khan

Salahuddin

Yousaf

et al. 2019

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Purpose The purpose of the current flow configurations is to bring to attention the thermophysical aspects of magnetohydrodynamics (MHD) Williamson nanofluid flow under the effects of Joule heating, nonlinear thermal radiation, variable thermal coefficient and activation energy past a rotating stretchable surface. Design/methodology/approach A mathematical model is examined to study the heat and mass transport analysis of steady MHD Williamson fluid flow past a rotating stretchable surface. Impact of activation energy with newly introduced variable diffusion coefficient at the mass equation is considered. The transport phenomenon is modeled by using highly nonlinear PDEs which are then reduced into dimensionless form by using similarity transformation. The resulting equations are then solved with the aid of fifth-order Fehlberg method. Findings The rotating fluid, heat and mass transport effects are analyzed for different values of parameters on velocity, energy and diffusion distributions. Parameters like the rotation parameter, Hartmann number and Weissenberg number control the flow field. In addition, the solar radiation, Joule heating, Prandtl number, thermal conductivity, concentration diffusion coefficient and activation energy control the temperature and concentration profiles inside the stretching surface. It can be analyzed that for higher values of thermal conductivity, Eckret number and solar radiation parameter the temperature profile increases, whereas opposite behavior is noticed for Prandtl number. Moreover, for increasing values of temperature difference parameter and thermal diffusion coefficient, the concentration profile shows reducing behavior. Originality/value This paper is useful for researchers working in mathematical and theoretical physics. Moreover, numerical results are very useful in industry and daily-use processes.

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An immediate change in viscosity of Carreau nanofluid due to double stratified medium: application of Fourier’s and Fick’s laws

Cited by 33 publications

References 36 publications

A modified Fourier-Fick analysis for modeling non-Newtonian mixed convective flow considering heat generation

A modified Fourier-Fick analysis for modeling non-Newtonian mixed convective flow considering heat generation

Stefan Blowing and Slip Effects on Unsteady Nanofluid Transport Past a Shrinking Sheet: Multiple Solutions

Variable diffusion and conductivity change in 3D rotating Williamson fluid flow along with magnetic field and activation energy

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