Boundary layer flow and heat transfer to Carreau fluid over a nonlinear stretching sheet

Khan, Masood; Hashim, Hashim

doi:10.1063/1.4932627

Cited by 123 publications

(67 citation statements)

References 27 publications

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“…Accuracy of the present results are compared with results mentioned in Khan and Hashim (2015). In the absence of nanoparticles, Magnetic parameters, Weissenberg number, local buoyancy parameter, Eckert number, Schmidt number, radiation parameter, these comparisons are found to be in excellent agreement as shown in tables 1 and 2.…”

Section: Accuracy Assessmentsupporting

confidence: 70%

“…Magnetohydrodynamic three dimensional flow and heat transfer over a stretching surface in a viscoelastic fluid was explored by Ahmad and Nazar (2011). Boundary layer flow and heat transfer to Carreau fluid over a nonlinear stretching sheet was presented by Khan and Hashim (2015). Numerical simulation of water based magnetite nanoparticles between two parallel disks were simulated by Haq et al (2016).…”

Section: Introductionmentioning

confidence: 99%

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MHD Flow of Carreau Nanofluid Explored Using CNT Over a Nonlinear Stretched Sheet

Nagalakshm¹,

Vijaya²

2020

Frontiers in Heat and Mass Transfer

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In the present investigation is to magnetohydrodymaics (MHD) radiative flow of an incompressible steady flow of Carreau nanofluid explored with carbon nanotubes. The boundary layer flow and heat transfer to a Carreau nanofluid model over a non-linear stretching surface is introduced. The Carreau model, adequate for many non-Newtonian fluids is used to characterize the behavior of the fluids having shear thinning properties and fluids with shear thickening properties for numerical values of the power law exponent n. The modeled boundary layer conservation equations are converted to non-linear coupled ordinary differential equations by a suitable transformation.R language with bvp solver was adopted to obtained numerical solutions of the resulting equations by using the Runge-Kutta method along with shooting technique. This analysis reveals many important physical aspects of flow and heat transfer. Computations are performed for different values of the stretching parameter(m),the Weissenberg number (We) and the Prandtl number (Pr).The obtained results show that the velocity of shear thinning fluid is depressed by the Weissenberg number while contrasting behavior for the shear thickening fluid is observed. A comparison with previously published data in limiting cases is performed and they are in excellent agreement.

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Section: Accuracy Assessmentsupporting

confidence: 70%

Section: Introductionmentioning

confidence: 99%

MHD Flow of Carreau Nanofluid Explored Using CNT Over a Nonlinear Stretched Sheet

Nagalakshm¹,

Vijaya²

2020

Frontiers in Heat and Mass Transfer

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“…With these conditions, the leading equations [45] are where u, v are the velocity components in parallel to xand y-directions, respectively, is the kinematic viscosity, is the relaxation time of the Carreau fluid, n is the power law index parameter, g is the gravity field, T is the volumetric coefficient of thermal expansion, T w is the surface temperature, C is the volumetric coefficient of diffusion expansion, is the electrical conductivity, is the density of the fluid, B(x) is the dimensional magnetic field parameter, k is the thermal conductivity, C p is the specific heat capacitance, is the dynamic viscosity, C is the dimensional concentration parameter, D m is the molecular diffusivity, k 0 is the dimensional chemical reaction parameter, h * 1 is the dimensional velocity slip parameter, and h * 2 is the dimensional temperature jump parameter.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Slip flow of Carreau fluid over a slendering stretching sheet with viscous dissipation and Joule heating

Gayatri

Reddy

Babu³

2020

SN Appl. Sci.

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The effects of Joule heating and viscous dissipation on the two-dimensional Carreau fluid flowing through a stretching sheet with variable thickness are inspected with the supposition of slip parameters. The leading equations are altered as a set of (nonlinear) ordinary differential equations by means of proper similarity alterations. With the assistance of shooting procedure, subsequent equations are unravelled numerically. The impacts of appropriate parameters such as Weissenberg number and slip parameters (related to velocity and temperature) on the common profiles (velocity, concentration and temperature) are analysed via graphs. And also, we have analysed the effects of the identical parameters on skin friction coefficient and rate of transfers (heat and mass) by means of tables. From the outcomes, we observed that (a) the velocity slip parameter lowers the velocity but boosts the friction factor, (b) Weissenberg number boosts the velocity but shows conflicting behaviour on temperature, and (c) all boundary layers are observed to be thinner against wall thickness parameter. So, it benefits to improve both transfer rates (heat and mass), (d) the concentration boundary layer is observed to be thinner during chemical reaction, (e) magnetic field parameter and Eckert number are both reduce the local Nusselt number, and (f) wall thickness parameter and chemical reaction parameter are both improve the rate of mass transfer.

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“…Also, numerical investigation of inertia and shear thinning effects on axisymmetric flows of Carreau fluids was reported by Martins et al [18]. Recently, the boundary-layer flow and heat transfer to a Carreau fluid over a non-linear stretching sheet is discussed by Khan and Hashim [19]. This article addresses the impacts of the heat transfer analysis on the flow of GN Carreau fluid over a static/moving wedge.…”

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confidence: 95%

Impact of heat transfer analysis on Carreau fluid-flow past a static/moving wedge

Ali

Khan

2018

THERM SCI

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The foremost aspiration of the present endeavor is to investigate the boundary-layer flow of a generalized Newtonian Carreau fluid model past a static/moving wedge. In addition, the effects of heat transfer on the flow field are also taken into account. The governing equations of the problem based on the boundary-layer approximation are changed into a non-dimensional structure by introducing the local similarity transformations. The subsequent system of ODE has been numerically integrated with fifth-order Runge-Kutta method. Influence of the velocity ratio parameter, the wedge angle parameter, the Weissenberg number, the power law index, and the Prandtl number on the skin friction and Nusselt number are analyzed. The variation of the skin friction as well as other flow characteristics has been presented graphically to capture the influence of these parameters. The results indicate that the increasing value of the wedge angle substantially accelerates the fluid velocity while an opposite behavior is noticed in the temperature field. Moreover, the skin friction coefficient for the growing Weissenberg number significantly enhances for the shear thickening fluid and show the opposite behavior of shear thinning fluid. However, the local Nusselt number has greater values in the case of moving wedge. An excellent comparison with previously published works in various special cases has been made.

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Boundary layer flow and heat transfer to Carreau fluid over a nonlinear stretching sheet

Cited by 123 publications

References 27 publications

MHD Flow of Carreau Nanofluid Explored Using CNT Over a Nonlinear Stretched Sheet

MHD Flow of Carreau Nanofluid Explored Using CNT Over a Nonlinear Stretched Sheet

Slip flow of Carreau fluid over a slendering stretching sheet with viscous dissipation and Joule heating

Impact of heat transfer analysis on Carreau fluid-flow past a static/moving wedge

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