Heat generation/absorption and thermal radiation impacts on three-dimensional flow of Carreau fluid with convective heat transfer

Khan, Masood; Sardar, Humara; Hashim, Hashim

doi:10.1016/j.molliq.2018.08.088

Cited by 28 publications

(13 citation statements)

References 20 publications

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“…The system of Eqs. (23,24,31) with the boundary conditions (27, 32) is a partially coupled system of nonlinear ordinary differential equations. We reduce the order of these equations…”

Section: Methodsmentioning

confidence: 99%

“…This is a frequently observed phenomenon in many places, especially in nuclear reactors, electronic chips and semiconductor wafers. Humara et al [23] dealt with heat generation/absorption and thermal radiation impacts on Carreau fluid flow with convective heat transfer. Vajravelu and Hadjinicolaou [24] studied convective heat transfer in an electrically conducting fluid at a stretching surface.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Homogenous–heterogenous reactions in Carreau fluid flow with heat generation/absorption: multiple solution

Khan

Ejaz

Sardar

2019

J Braz. Soc. Mech. Sci. Eng.

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This research article investigates the two-dimensional stagnation boundary layer flow over a permeable stretching sheet with variable thickness and heat generation/absorption. The heat generation/absorption is taking place due to a homogenous/heterogenous reactions. Viscous dissipation and radiation effects are neglected here. We have utilized the appropriate dimensionless transformations to alter the basic conservation equations into a set of partially coupled ODEs. The related system of reduced ODEs together with physical boundary restrictions is numerically integrated via versatile and extensively validated, MATLAB bvp4c package with Labatto III A scheme. To obtain the numerical solution, problem is governed by active physical parameters, such as viscosity ratio parameter (*), local Weissenberg number (We), heat generation/absorption parameter (*) , homogeneous reaction parameter (K), Schmidt number (Sc), heterogeneous reaction parameter (Ks), ratio of mass diffusion coefficient (), mass transfer parameter with suction (s > 0) and injection (s < 0). We exhibit and explain the impacts of these active parameters on dimensionless fluid velocity, fluid temperature, fluid concentration, skin friction, Nusselt number and Sherwood number by means of tables and graphs. From this study, it is observed that fluid concentration is depressed by higher heterogeneous reaction parameter (Ks). However, Prandtl number (Pr) and heat absorption/generation parameter (*) increase the fluid temperature.

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“…The system of Eqs. (23,24,31) with the boundary conditions (27, 32) is a partially coupled system of nonlinear ordinary differential equations. We reduce the order of these equations…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Homogenous–heterogenous reactions in Carreau fluid flow with heat generation/absorption: multiple solution

Khan

Ejaz

Sardar

2019

J Braz. Soc. Mech. Sci. Eng.

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“…In addition, a nonuniform heat generation\absorption

Q = Q_{0} {(x + y)}^{m - 1}

is implemented. The boundary layer equations 10,14,32 are given by the following:

u_{x} + v_{y} + w_{z} = 0,

u u_{x} + v u_{y} + w u_{z} = ν_{f} u_{zz} (][, β^{⁎} + (1 - β^{⁎}) {1 + Γ^{2} {(u_{z})}^{2}}^{\frac{n - 1}{2}}) + ν_{f} (n - 1) (1 - β^{⁎}) Γ^{2} u_{zz} {(u_{z})}^{2} {1 + Γ^{2} {(u_{z})}^{2}}^{\frac{n - 3}{2}} - \frac{σ B^{2} u}{ρ},

u v_{x} + v v_{y} + w v_{z} = ν_{f} v_{zz} (][, β^{⁎} + (1 - β^{⁎}) {1 + Γ^{2} {(v_{z})}^{2}}^{\frac{n - 1}{2}}) + ν_{f} (n - 1) (1 - β^{⁎}) Γ^{2} v_{zz} {(v_{z})}^{2} {1 + Γ^{2} {(v_{z})}^{2}}^{\frac{n - 3}{2}} - \frac{σ B^{2} v}{ρ},

…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Skin friction coefficients, local Nusselt number, and local Sherwood number measure the surface drag, heat transfer rate, and mass transfer rate, respectively. They are defined 32,33 as follows:…”

Section: Mathematical Formulationmentioning

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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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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“…Lu et al [12] scrutinized the MHD Carreau nanofluid flow by applying a zero mass-flux condition. Khan et al [13] considered the three-dimensional (3D) flow over two-directional stretching sheets, and used the Carreau rheological model. In the research of the magnetic effect, heat generation/absorption was taken into account.…”

Section: Introductionmentioning

confidence: 99%

Molybdenum disulfide and magnesium oxide nanoparticle performance on micropolar Cattaneo-Christov heat flux model

Reddy

Shehzad

2021

Appl. Math. Mech.-Engl. Ed.

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This article intends to illustrate the Darcy flow and melting heat transmission in micropolar liquid. The major advantage of micropolar fluid is the liquid particle rotation through an independent kinematic vector named the microrotation vector. The novel aspects of the Cattaneo-Christov (C-C) heat flux and Joule heating are incorporated in the energy transport expression. Two different nanoparticles, namely, MoS2 and MgO, are suspended into the base-fluid. The governing partial differential equations (PDEs) of the prevailing problem are slackening into ordinary differential expressions (ODEs) via similarity transformations. The resulting mathematical phenomenon is illustrated by the implication of fourth-fifth order Runge-Kutta-Fehlberg (RKF) scheme. The fluid velocity and temperature distributions are deliberated by using graphical phenomena for multiple values of physical constraints. The results are displayed for both molybdenum disulphide and magnesium oxide nanoparticles. A comparative benchmark in the limiting approach is reported for the validation of the present technique. It is revealed that the incrementing material constraint results in a higher fluid velocity for both molybdenum disulphide and magnesium oxide nanoparticle situations.

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Heat generation/absorption and thermal radiation impacts on three-dimensional flow of Carreau fluid with convective heat transfer

Cited by 28 publications

References 20 publications

Homogenous–heterogenous reactions in Carreau fluid flow with heat generation/absorption: multiple solution

Homogenous–heterogenous reactions in Carreau fluid flow with heat generation/absorption: multiple solution

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

Molybdenum disulfide and magnesium oxide nanoparticle performance on micropolar Cattaneo-Christov heat flux model

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