Analysis of MHD Carreau fluid flow over a stretching permeable sheet with variable viscosity and thermal conductivity

Abbas, Tariq; Rehman, Sajid; Shah, Rehan Ali; Idrees, Muhammad; Qayyum, Mubashir

doi:10.1016/j.physa.2020.124225

Cited by 45 publications

(31 citation statements)

References 28 publications

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“…The estimated models are as follows: [2,8] for We, [0.1,0.9] for β ⁎ , and [0. 5,2] for Nt, and the regression n = 0.7 n = 1.7 n = 0. n = 0.7 n = 1.7 n = 0. | 3655 coefficients are calculated using MATLAB software.…”

Section: Multiple Linear Regressionmentioning

confidence: 99%

“…[1][2][3] Naga et al 4 studied magneto Carreau nanofluid numerically under slip condition and obtained suppressed velocity profiles through augmented values of the Hartmann number. Abbas et al 5 analyzed the MHD flow on a stretching sheet using Carreau fluid. They deployed a Runge-Kutta fourth-order method for solving the problem numerically.…”

Section: Introductionmentioning

confidence: 99%

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Statistical analysis on three‐dimensional MHD convective Carreau nanofluid flow due to bilateral nonlinear stretching sheet with heat source and zero mass flux condition

2020

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This study focuses on analyzing the response of a magnetohydrodynamic convective Carreau nanofluid flow over a bilateral nonlinear stretching sheet in the presence of a heat source and zero mass flux condition. The problem has been solved numerically using the MATLAB built‐in function bvp5c. The findings of velocity, temperature, and concentration profiles based on the various parameters are illustrated using graphs. The impact of various parameters on the heat transfer rate is scrutinized using statistical techniques, like, correlation coefficient, probable error, and regression. The effect of various parameters on skin friction coefficients is studied via tables and slope of linear regression. It is observed that the statistical results coincide with the numerical results. It is also noticed that the stretching ratio parameter increases the Y‐directional velocity profile. Accuracy of the numerical procedure has been validated through a restrictive comparison of the present work with previous published results and is found to be in good agreement.

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Section: Multiple Linear Regressionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Statistical analysis on three‐dimensional MHD convective Carreau nanofluid flow due to bilateral nonlinear stretching sheet with heat source and zero mass flux condition

2020

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“…The study done by Hussain et al, [8] showed that in the presence of Casson fluid, viscosity existed with the flow passing through the contracting surface and influenced by a magnetic field. Then, Abbas et al, [9] have examined the influence of viscosity and thermal conductivity of Carreau fluid with the magnetohydrodynamic boundary layer flow, while Zulkifli et al, [10] has found viscous dissipation in a nanofluid flow, due to a moving plate.…”

Section: Introductionmentioning

confidence: 99%

Thermal Radiation in Nanofluid Penetrable Flow Bounded with Partial Slip Condition

Isa

Arifin

Bachok

2021

CFDL

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Thermal radiation enhances heat transfer, and it is used widely in manufacturing and materials processing applications. Thus, steady two-dimensional boundary layer flow over an exponentially porous shrinking sheet of nanofluids was considered in the influence of thermal radiation related to partial slip boundary conditions and suction. This paper aims to study the nanofluid penetrable flow over an exponentially shrinking sheet with thermal radiation and partial slip. The effects of silver (Ag) nanoparticles with two different types of base fluids named water and kerosene oil are investigated in this study. First, the governing equations and boundary conditions are transformed to a non-linear ordinary differential equation and then solved using bvp4c solver. Using Matlab software, it is found that the dual solution exists in some values from the suction parameter. Furthermore, we identified both nanoparticle volume fraction and suction parameter increase, leading to the rise in velocity profile. Moreover, the suction parameter increases both skin friction coefficient and Nusselt number increase.

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“…Madhu et al 9 reconnoitered the second law performance and entropy generation in the flow of Carreau fluid due to an inclined microchannel in the presence of the radiative heated convective condition. Analysis of magnetohydrodynamic (MHD) boundary layer flow of Carreau fluid pattern by a stretched permeable sheet due to both of the dependence of viscosity and thermal conductivity on the temperature has been executed by Abbas et al 10 Gopal et al 11 introduced a solution for the influence of the magnetic field, heat generation/absorption, thermal radiation, and thermal stratification on the flow of Carreau nanofluid over the surface of a permeable stretched cylinder.…”

Section: Introductionmentioning

confidence: 99%

Activation energy effectiveness in dusty Carreau fluid flow along a stretched cylinder due to nonuniform thermal conductivity property and temperature‐dependent heat source/sink

et al. 2021

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This article studies the boundary layer flow analysis and heat and mass transfer of magnetohydrodynamic (MHD) Carreau fluid around a stretchable circular cylinder, comprehensively studying the suspended dust particles' impact. Here, the viscous fluid is theorized to be incompressible and loaded with spherical dust particles of the same size. Additionally, heat and sink sources are examined in the thermal boundary layer in the existence of both chemical reaction and activation energy influences. A compatible similarity set of transformations are utilized to mutate the system of partial differential equation formed in momentum and temperature equations of the fluid and dust phases as well the concentration equation into a set of ordinary differential equations. Therefore, the mathematical analysis of the problem facilitates and the numerical estimates of the problem are obtained using MATLAB bvp4c function. Computations are iterated for various values of emerging physical parameters from dimensionless boundary layer conservation equations in terms of temperature and non‐Newtonian Carreau velocity of fluid and dust phases and concentration distribution. Moreover, the terminology of skin friction and Nusselt and Sherwood numbers have been obtained and studied numerically. Some interesting findings in this study are the heat transfer rate dwindles due to the increase of mass concentration of the dust particle. Also, there is a strengthening of the flow with variance in values of the curvature parameter while a weakening has been observed in the thickness of the thermal boundary layer and this hence improves the heat transfer rate. Therefore, the fluid flow around a stretched cylinder would be better, due to its multiple applications in various progressing industrial technologies such as the cement processing industry, plastic foam processing, watering system channels, and so forth. Also, activation energy plays a significant role in various areas such as the oil storage industry, geothermal, and hydrodynamics. The dusty fluid flow is very important in the field of fluid dynamics and can be found in many natural phenomena such as blood flow, the flow of mud in rivers, and atmospheric flow during mist. Moreover, MHD applications are numerous including power generation, plasma, and liquid metals, and so forth. A perfect agreement between our results and other studies available in the literature is obtained through carrying out a comparison with treating the problem in special circumstances.

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Analysis of MHD Carreau fluid flow over a stretching permeable sheet with variable viscosity and thermal conductivity

Cited by 45 publications

References 28 publications

Statistical analysis on three‐dimensional MHD convective Carreau nanofluid flow due to bilateral nonlinear stretching sheet with heat source and zero mass flux condition

Statistical analysis on three‐dimensional MHD convective Carreau nanofluid flow due to bilateral nonlinear stretching sheet with heat source and zero mass flux condition

Thermal Radiation in Nanofluid Penetrable Flow Bounded with Partial Slip Condition

Activation energy effectiveness in dusty Carreau fluid flow along a stretched cylinder due to nonuniform thermal conductivity property and temperature‐dependent heat source/sink

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