Boundary layer stagnation-point flow of a third grade fluid over an exponentially stretching sheet

Rehman, Abdul; Nadeem, S.; Malik, M.Y.

doi:10.1590/s0104-66322013000300018

Cited by 28 publications

(16 citation statements)

References 23 publications

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“…Generation/ absorption of heat through the flow of axisymmetric Casson fluid over a stretched cylinder is addressed by Javed et al [15]. Additional appropriate studies in this way are in [16,17].…”

Section: Introductionmentioning

confidence: 99%

Thermophoresis and Brownian Model of Pseudo-Plastic Nanofluid Flow over a Vertical Slender Cylinder

Hussain

Nadeem

2020

Mathematical Problems in Engineering

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This study focuses on the industrial and engineering interest quantities, such as drag force and rate of transmission of heat, for pseudo-plastic nanofluid flow. The attributes of natural convection of the pseudo-plastic nanofluid flow model over a vertical slender cylinder are explored. The pseudo-plastic flow is studied under the influence of concentration of nanoparticles, rate of heat transmission, and drag force. For the first time, the pseudo-plastic nanofluid flow model has been implemented over a vertical slender cylinder which is not yet investigated. The acquired model is based on thermophoresis and Brownian motion mechanisms. The governing equations of pseudo-plastic nanofluid in cylindrical coordinates are modelled. The developed system of nonlinear equations is tackled by boundary layer assumptions and similarity transformations. Moreover, the solution of the acquired system exhibited by using a new powerful numerical technique. A comprehensive debate on drag force and transmission of heat under the influence of various emerging parameters is illustrated in the table. Furthermore, the effects of dimensionless parameters over the velocity profile, temperature profile, and concentration of nanoparticle profile have been exhibited graphically.

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Section: Introductionmentioning

confidence: 99%

Thermophoresis and Brownian Model of Pseudo-Plastic Nanofluid Flow over a Vertical Slender Cylinder

Hussain

Nadeem

2020

Mathematical Problems in Engineering

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“…for different values of Prandtl numbers, nanofluid, and convective parameters Noghrehabadi [21] Present results is found to be higher for smaller values of viscoelastic parameter K, and decreases with both viscoelastic and cross-diffusion parameters. It is important to note that no parameters have an effect on the thermal boundary layer thickness.…”

Section: Values Of Nanofluid and Slip Parametersmentioning

confidence: 48%

“…They found that slip decreases the momentum boundary layer thickness and increases the thermal boundary layer thickness, whereas the third‐grade fluid parameter has an opposite effect on the thermal and velocity boundary layers. Rehman et al studied the non‐Newtonian boundary layer flow and heat transfer over an exponentially stretching sheet with a partial slip boundary condition in the presence of a magnetic field. They found that the third‐grade fluid parameter increases the momentum boundary layer thickness and decreases the thermal boundary layer thickness.…”

Section: Introductionmentioning

confidence: 99%

Combined heat and mass transfer of third‐grade nanofluids over a convectively‐heated stretching permeable surface

2015

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The buoyancy‐induced flows of third‐grade nanofluids are investigated along a vertical permeable stretching sheet, and a numerical solution is obtained for the combined heat and mass transfer during convective cooling of the stretching sheet, subject to partial slip and convective solutal boundary conditions. The Cauchy stress tensor for the fluids of grade three and Buongiorno model for the nanofluids are used in the governing equations. The model is capable of investigating the flow, heat, and mass characteristics of third‐grade nanofluids along the stretching sheet. The partial differential equations are converted into ordinary nonlinear differential equations and are solved using a second‐order numerical technique which includes a finite difference scheme and shooting method. The effects of the buoyancy, third‐grade, viscoelastic, partial slip, convective heat and mass transfer, and nanofluid parameters on the dimensionless velocity, temperature, concentration, skin friction, and heat and mass transfer rates are reported. The present results of skin friction and heat and mass transfer rates are compared with published data, and are found to be in close agreement.

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“…Further details about the HAM procedure can be found in [14][15][16][17][18][19][20][21][22][23][24][25][26].…”

Section: Solution Of the Problemmentioning

confidence: 99%

MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface

Rasheed¹

2017

ACM

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Abstract:The present investigation provides an insight in the steady, incompressible and electrically conducting boundary layer flow of viscoelastic nanofluid flowing due to a moving, linearly stretched surface. The governing system of nonlinear partial differential equations is simplified by considering Boussinesq and boundary layer approximations. An analytical solution of the resulting nonlinear ordinary differential equations for momentum, energy and concentration profiles is obtained using the homotopy analysis method (HAM).

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Boundary layer stagnation-point flow of a third grade fluid over an exponentially stretching sheet

Cited by 28 publications

References 23 publications

Thermophoresis and Brownian Model of Pseudo-Plastic Nanofluid Flow over a Vertical Slender Cylinder

Thermophoresis and Brownian Model of Pseudo-Plastic Nanofluid Flow over a Vertical Slender Cylinder

Combined heat and mass transfer of third‐grade nanofluids over a convectively‐heated stretching permeable surface

MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface

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