Mixed Convection Boundary Layer Flow of Williamson Fluid with Slip Conditions Over a Stretching Cylinder by Using Keller Box Method

Salahuddin, T.; Malik, M.Y.; Hussain, Arif; Awais, Muhammad; Bilal, S.

doi:10.1515/ijnsns-2015-0090

Cited by 21 publications

(6 citation statements)

References 13 publications

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“…Panezai et al [8] numerically investigated the heat transfer characteristics of Williamson fluid over a porous Wedge. Salahuddin et al [9] studied the boundary layer phenomena of Williamson-type fluid with slip conditions over a stretching cylinder.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface

Ahmed

Khan

Akbar

et al. 2021

Fluids

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The present investigation aims to examine the heat flux mechanism in the hagnetohydrodynamic (MHD) mixed convective flow of Williamson-type fluid across an exponential stretching porous curved surface. The significant role of thermal conductivity (variable), non-linear thermal radiation, unequal source-sink, and Joules heating is considered. The governing problems are obtained using the Navier–Stokes theory, and the appropriate similarity transformation is applied to write the partial differential equations in the form of single-variable differential equations. The solutions are obtained by using a MATLAB-based built-in bvp4c package. The vital aspect of this analysis is to observe the effects of the curvature parameter, magnetic number, suction/injection parameter, permeability parameter, Prandtl factor, Eckert factor, non-linear radiation parameter, buoyancy parameter, temperature ratio parameter, Williamson fluid parameter, and thermal conductivity (variable) parameter on the velocity field, thermal distribution, and pressure profile which are discussed in detail using a graphical approach. The correlation with the literature reveals a satisfactory improvement in the existing results on permeability factors in Williamson fluids.

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Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface

Ahmed

Khan

Akbar

et al. 2021

Fluids

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“…The exact calculation is needed to shape engineering problems. The numerical study of the peristaltic flow of Williamson fluid for partial and full slip flow was done by many researchers (Khan et al , 2017; Salahuddin et al , 2017). The behavior and application of nanofluids were discovered by many researchers (Tanveer et al , 2018a; Hayat et al , 2016, 2017a, b; Qayyum et al , 2018; Qayyuma et al , 2017).…”

Section: Introductionmentioning

confidence: 99%

Williamson nanofluid flow through porous medium in the presence of melting heat transfer boundary condition: semi-analytical approach

Mishra

Mathur

2020

MMMS

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PurposePresent investigation based on the flow of electrically conducting Williamson nanofluid embedded in a porous medium past a linearly horizontal stretching sheet. In addition to that, the combined effect of thermophoresis, Brownian motion, thermal radiation and chemical reaction is considered in both energy and solutal transfer equation, respectively.Design/methodology/approachWith suitable choice of nondimensional variables the governing equations for the velocity, temperature, species concentration fields, as well as rate shear stress at the plate, rate of heat and mass transfer are expressed in the nondimensional form. These transformed coupled nonlinear differential equations are solved semi-analytically using variation parameter method.FindingsThe behavior of characterizing parameters such as magnetic parameter, melting parameter, porous matrix, Brownian motion, thermophoretic parameter, radiation, Lewis number and chemical particular case present result validates with earlier established results and found to be in good agreement. Finally reaction parameter is demonstrated via graphs and numerical results are presented in tabular form.Originality/valueThe said work is an original work of the authors.

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“…The effects of various physical parameters such as Weissenberg number We , magnetic parameter M , porosity parameter K , thermal Grashof number G r, mass Grashof number G m, Prandtl number prefixtruePr, radiation parameter R d, Lewis number L e, thermophoresis parameter N t, Brownian motion parameter N b and slip parameter δ on velocity, temperature and nanoparticles concentration profiles are visualized graphically. In order to validate the algorithm developed in MATLAB software for present method, the numerical results for skin friction coefficient are compared with the results of, 36 ,38 and presented in Table 1. Comparison revealed a close agreement with them.…”

Section: Resultsmentioning

confidence: 99%

MHD radiative flow of Williamson nanofluid along stretching sheet in a porous medium with convective boundary conditions

Ullah

2021

Proceedings of the Institution of Mechanical Engineers, Part E:

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Fluid heating and cooling is significant in a variety of industries, including power generation and transportation. Improvements in the thermal conductivity of the base fluid can also help in heat transmission. For this purpose, the effects of magneto hydrodynamics (MHD) and thermal radiation on mixed convection flow of Williamson nanofluid across a stretched sheet embedded in a porous medium in the presence of slip and convective boundary conditions is investigated. The Boungiorno model is adopted to analyze the impact of various dimensionless parameters on velocity, temperature, and nanoparticle concentration in the presence of slip and convective boundary conditions. The nonlinear governing equations are non-dimensionalized using similarity transformations, and the Keller box technique is utilized to solve them numerically. The current code is validated by generating numerical results for wall shear stress and compared them to previously published results. The comparison demonstrates that the outcomes are extremely similar. The results reveal that in the presence of a porous media, raising the magnetic and slip parameters reduced the nanofluid's velocity. It is also noticed that by increasing the radiation parameter, the heat and mass transfer rates on the surface of the stretching sheet are improved. In the presence of convective boundary conditions, the effect of Brownian motion and thermophoresis parameters on nanoparticle concentration was observed to be more profound.

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Mixed Convection Boundary Layer Flow of Williamson Fluid with Slip Conditions Over a Stretching Cylinder by Using Keller Box Method

Cited by 21 publications

References 13 publications

Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface

Numerical Investigation of Mixed Convective Williamson Fluid Flow Over an Exponentially Stretching Permeable Curved Surface

Williamson nanofluid flow through porous medium in the presence of melting heat transfer boundary condition: semi-analytical approach

MHD radiative flow of Williamson nanofluid along stretching sheet in a porous medium with convective boundary conditions

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