Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge

Panezai, Amina; Rehman, Abdul; Sheikh, Naveed; Iqbal, Saleem; Ahmed, Iftikhar; Iqbal, Manzoor; Zulfiqar, Muhammad

doi:10.11648/j.ajmcm.20190403.13

Cited by 13 publications

(7 citation statements)

References 37 publications

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“…Hence increase in buoyancy leads to an increase in the overall velocity of the flow but a decrease in the temperature of the flow. As earlier remarked in the introduction, these results supports the findings of [16,19,20].…”

Section: Discussion Of Resultssupporting

confidence: 90%

“…Megaheed [18] considered Williamson fluid flow due to a nonlinear stretching sheet with viscous dissipation and thermal in the study viscosity and fluid conductivity are assume to vary with temperature and the noted that thermal radiation parameter and the Eckert number has an effect on the temperature distribution and thicken thermal region which leads to an increase in the local Nusselt number and decrease in local skin-friction coefficient while rise temperature is cause by an increase in both Williamson viscosity parameter. Panezai et al [19] examined the influence of thermal radiation on two-dimensional incompressible magneto-hydrodynamic mixed convective heat transfer flow of Williamson fluid flowing past a porous wedge on a non linear stretching surface and the free stream experiencing external forces on the fluid and it was concluded that non -dimensional velocity profile increases with an increase in wedge angle parameter while nondimensional temperature profile decrease with an increase in the wedge angle parameter ,nondimensional velocity deceases with an increase in magnetic parameter. Hashim et al [20]…”

Section: Introductionmentioning

confidence: 99%

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Buoyancy-Induced MHD Stagnation Point Flow of Williamson Fluid with Thermal Radiation

Ouru

Mutuku

Oke

2020

JERR

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Flow of fluids subjected to thermal radiation has enormous application in polymer processing, glass blowing, cooling of nuclear reactant and harvesting solar energy. This paper considers the MHD stagnation point flow of non-Newtonian pseudoplastic Williamson fluid induced by buoyancy in the presence of thermal radiation. A system of nonlinear partial differential equations suitable to describe the MHD stagnation point flow of Williamson fluid over a stretching sheet is formulated and then transformed using similarity variables to boundary value ordinary differential equations. The graphs depicting the effect of thermal radiation parameter, buoyancy and electromagnetic force on the fluid velocity and temperature of the stagnation point flow are given and the results revealed that increase in buoyancy leads to an increase in the overall velocity of the flow but a decrease in the temperature of the flow.

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Section: Discussion Of Resultssupporting

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Buoyancy-Induced MHD Stagnation Point Flow of Williamson Fluid with Thermal Radiation

Ouru

Mutuku

Oke

2020

JERR

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“…They presented the effects on velocity and skin friction graphically by adopting the shooting technique. 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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“…Another analytic investigation in this direction was suggested by Hayat et al 20 Another study reported by Kumar et al 21 conferred mixed convection aspects in the flow of a nanofluid over a vertical channel with help of Robin boundary conditions. Panezai et al 22 deliberated the mixed convection prospective in the Williamson fluid flow encountered by a porous wedge. The solution procedure is followed with the help of the Runge–Kutta–Fehlberg technique with considerable accuracy.…”

Section: Introductionmentioning

confidence: 99%

Unsteady 3D mixed convection flow of a chemically reactive Oldroyd‐B nanofluid configured by a periodically accelerated surface

et al. 2021

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Fundamental developments in nanotechnology have attracted the attention of scientists towards the interaction of nanoparticles due to their fascinating applications in thermal engineering and solar energy systems. Convinced by such motivating applications, the current research project addresses the utilization of nanoparticles in the unsteady three‐dimensional chemically reactive flow of an Oldroyd‐B fluid induced by a bidirectional oscillatory stretching surface. The effects of mixed convection are also considered here. The prime features of the nanofluid namely thermophoresis and Brownian motion characteristics are explored by introducing the famous Buongiorno's nanofluid model. The relevant equations for the formulated theoretical model have been reduced by the appropriate transformations for which the analytic solution is deliberated via the homotopic technique. Later on, a complete graphical analysis for distinct flow parameters is deliberated for dimensionless velocities, concentration, and temperature distributions with the relevant physical implications. Moreover, stimulating physical quantities like local Nusselt and Sherwood numbers are numerically calculated and discussed. The study emphasizes that decreasing variation in both components of velocities has been reported with an increment of relaxation time, while the impact of the retardation time constant is quite opposite. It is further claimed that the velocity distribution has an increasing tendency in the horizontal direction for a higher buoyancy ratio and mixed convection parameters. Moreover, an increment in thermophoresis parameter enhances both temperature and concentration distributions.

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Mixed Convective Magnetohydrodynamic Heat Transfer Flow of Williamson Fluid Over a Porous Wedge

Cited by 13 publications

References 37 publications

Buoyancy-Induced MHD Stagnation Point Flow of Williamson Fluid with Thermal Radiation

Buoyancy-Induced MHD Stagnation Point Flow of Williamson Fluid with Thermal Radiation

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

Unsteady 3D mixed convection flow of a chemically reactive Oldroyd‐B nanofluid configured by a periodically accelerated surface

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