Unsteady three dimensional flow of couple stress fluid over a stretching surface with chemical reaction

Hayat, Tasawar; Awais, Muhammad; Safdar, Ambreen; Hendi, Awatif A.

doi:10.15388/na.17.1.14077

Cited by 68 publications

(20 citation statements)

References 33 publications

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“…Sreenadh et al [9] examined the fluid flow with couple stress impact. Hayat et al [10] analyzed the mass transfer in couple stress fluid with chemical reaction. Khan et al [11] scrutinized the incompressible and unsteady couple stress fluid flow considering three dimensional cylindrical polar coordinate systems.…”

Section: Introductionmentioning

confidence: 99%

Study of the Couple Stress Convective Micropolar Fluid Flow in a Hall MHD Generator System

et al. 2019

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The steady non-isothermal convective heat transfer in magnetohydrodynamic micropolar fluid flow over a non-linear extending wall is examined. The fluid flow is treated with strong magnetic field. The influence of magnetic field, Hall current, and couple stress are mainly focused in this work. The fluid flow problem is solved analytically. The impact of developing dimensionless parameters on primary, secondary, and angular velocity components and temperature profile are determined through graphs. The primary velocity component has reduced throughout the flow study. The greater magnetic parameter, Hall parameter and couple stress parameter have increased the secondary velocity component while the local Grashof number has reduced the secondary velocity component. The greater magnetic parameter and Hall parameter have reduced the angular velocity component. The greater magnetic parameter has increased the temperature profile while the Hall parameter and local Grashof number have decreased the temperature profile. The impact of developing dimensionless parameters on skin friction coefficient and local Nusselt number are determined through Tables.

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Section: Introductionmentioning

confidence: 99%

Study of the Couple Stress Convective Micropolar Fluid Flow in a Hall MHD Generator System

et al. 2019

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“…Khan and Riaz studied heat transfer in couple stress fluid from a nonlinearly stretching sheet for prescribed surface temperature and prescribed heat flux with a shooting method. Hayat et al investigated chemically reacting couple stress stretching sheet flow. Hayat et al presented homotopy solutions for melting in the stagnation flow of couple stress fluids, observing that temperature and surface heat transfer are elevated with couple stress effect, whereas the flow is decelerated.…”

Section: Introductionmentioning

confidence: 99%

Application of differential transform method to unsteady free convective heat transfer of a couple stress fluid over a stretching sheet

Kumar

Reddy

Kumar

et al. 2018

Heat Trans. Asian Res.

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In the present article, the transient rheological boundary layer flow over a stretching sheet with heat transfer is investigated, a topic of relevance to non‐Newtonian thermal materials processing. Stokes couple stress model is deployed to simulate non‐Newtonian characteristics. Similarity transformations are utilized to convert the governing partial differential equations into nonlinear ordinary differential equations with appropriate wall and free stream boundary conditions. The nondimensional boundary value problem emerging is shown to be controlled by a number of key thermophysical and rheological parameters, namely the rheological couple stress parameter (β), unsteadiness parameter (A), Prandtl number (Pr), buoyancy parameter (λ). The semi‐analytical differential transform method (DTM) is used to solve the reduced nonlinear coupled ordinary differential boundary value problem. A numerical solution is also obtained via the MATLAB built‐in solver “bvp4c” to validate the results. Further validation with published results from the literature is included. Fluid velocity is enhanced with increasing couple stress parameter, whereas it is decreased with unsteadiness parameter. Temperature is elevated with couple stress parameter, whereas it is initially reduced with unsteadiness parameter. The flow is accelerated with increasing positive buoyancy parameter (for heating of the fluid), whereas it is decelerated with increasing negative buoyancy parameter (cooling of the fluid). Temperature and thermal boundary layer thickness are boosted with increasing positive values of buoyancy parameter. Increasing Prandtl number decelerates the flow, reduces temperatures, increases momentum boundary layer thickness, and decreases thermal boundary layer thickness. Excellent accuracy is achieved with the DTM approach.

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“…The coupled six harmonized high order ordinary differential equations (13)- (18), subjected to the boundary conditions, equation (19), are explained numerically using the function bvp4c from matlab software for different values of physical parameters, namely slip parameters (A, B, D, H), Prandtl number Pr, Dufour number Df, Soret number Sr, Brownian motion parameter Nb, thermophoresis parameter Nt, Schmidt number Sc, stretching ratio parameter λ, material parameter β and micro rotation parameter n. Numerical results are found using Matlab BVP solver bvp4c from matlab which is a finite difference code that applies the three-stage Lobatto IIIa formula. To apply bvp4c from matlab: equations (13)-(18) are converted into a system of first-order equations.…”

Section: Numerical Solutionmentioning

confidence: 99%

“…However, the opposite behavior was predicted as Soret number raised for which the local Nusselt number was enlarged while the local Sherwood number was reduced. Hayat et al [19] have examined the 3D flow of couple stress fluid with effects of chemical reaction and time variation over a stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of micropolar nanofluids with Soret, Dufor effects and multiple slip conditions

Ibrahim

Zemedu

2020

J. Phys. Commun.

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The objective of this study is to explore the effects of Dufour and Soret with multiple slip conditions on 3D boundary layer flow of a micropolar nanofluid. The mathematical modeling for the flow problem has been created. Using appropriate similarity transformation and non-dimensional variable, the governing non-linear boundary value problem is reduced to a coupled high order non-linear ordinary differential equations which is numerically solved. The solutions were using method bvp4c from matlab software for different quantities of governing parameters. The influences of different parameters on skin friction coefficients (s 0 as well as the velocities, temperature, and concentration are examined and discussed through tables and graphs. The finding results indicate the skin friction coefficients, wall duo stresses coefficients (along both x-and y-axes), the Nusselt number and the Sherwood number demonstrate decreasing behavior for an increase in slip parameters but the opposite effects are detected with the values of stretching ratio parameters. A comparison with previous studies available in the literature has been done and a very good agreement is obtained.Nomenclature

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Unsteady three dimensional flow of couple stress fluid over a stretching surface with chemical reaction

Cited by 68 publications

References 33 publications

Study of the Couple Stress Convective Micropolar Fluid Flow in a Hall MHD Generator System

Study of the Couple Stress Convective Micropolar Fluid Flow in a Hall MHD Generator System

Application of differential transform method to unsteady free convective heat transfer of a couple stress fluid over a stretching sheet

Numerical solution of micropolar nanofluids with Soret, Dufor effects and multiple slip conditions

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