Nanoparticle analysis for blood flow of Prandtl fluid model with stenosis

Nadeem, Sohail; Ijaz, S.; Akbar, Noreen Sher

doi:10.1186/2228-5326-3-35

Cited by 45 publications

(28 citation statements)

References 21 publications

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“…The stress tensor

τ_{ij}

for the Prandtl nanomaterial is expressed as (see References [7‐10])

τ_{ij} infixbold= bold- italicpI + μ \frac{A \sinh^{- 1} (\frac{1}{c} \sqrt{\frac{1}{2} italictr {(A_{1})}^{2}})}{\sqrt{\frac{1}{2} tr {(A_{1})}^{2}}} A_{1} .

…”

Section: Formulationmentioning

confidence: 99%

“…Varieties of rheological models [1][2][3][4][5][6] have been extensively used to study the various aspects of non-Newtonian fluids, but much attention has not been given to the Prandtl fluid model. [7][8][9][10] The composition of nano-sized particles (semiconductor, oxide ceramics, carbon nanotubes, metal, carbide ceramics, etc.) and base fluid (glycol, water, ethylene, oil, etc.)…”

Section: Introductionmentioning

confidence: 99%

“…The utilization of these liquids lies in powder technology, chemical processes, manufacturing, pharmaceutical industry, and other engineering applications. Varieties of rheological models 1‐6 have been extensively used to study the various aspects of non‐Newtonian fluids, but much attention has not been given to the Prandtl fluid model 7‐10 …”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Actions of viscous dissipation and Ohmic heating on bidirectional flow of a magneto‐Prandtl nanofluid with prescribed heat and mass fluxes

2020

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The present contribution determines the impacts of viscous dissipation and Ohmic heating with magnetic coating on Prandtl nanofluid flow driven by an unsteady bidirectionally moveable surface. Random motion of nanoparticles and thermophoretic diffusion are elaborated through a two-phase nanofluid model. The novelty of the investigation is fortified by prescribed heat flux and prescribed mass flux mechanisms. The appropriate combination of variables leads to a system of strong nonlinear ordinary differential equations. The formulated nonlinear system is then tackled by an efficient numerical scheme, namely, the Keller-Box method. Nanoliquidtemperature and mass-concentration distributions are conferred through various plots with the impacts of miscellaneous-arising parameters. The rates of heat and mass transferences are also discussed through tables. The thermal states of the nanomaterial and mass concentration are reduced for incremental amounts of the unsteady factor, ratio parameter, elastic parameter, and Prandtl fluid parameter. Moreover, escalating amounts of the Brownian parameter, Eckert number, magnetic Abbreviations: KBM, Keller-Box method; PHF, prescribed heat flux; PMF, prescribed mass flux. factor, and thermophoresis parameter enhances the temperature of the nanoliquid. An error analysis is also presented to predict the efficiency of the method used for the computational work.

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“…The stress tensor

τ_{ij}

for the Prandtl nanomaterial is expressed as (see References [7‐10])

τ_{ij} infixbold= bold- italicpI + μ \frac{A \sinh^{- 1} (\frac{1}{c} \sqrt{\frac{1}{2} italictr {(A_{1})}^{2}})}{\sqrt{\frac{1}{2} tr {(A_{1})}^{2}}} A_{1} .

…”

Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Actions of viscous dissipation and Ohmic heating on bidirectional flow of a magneto‐Prandtl nanofluid with prescribed heat and mass fluxes

2020

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“…The shear stress acting on the wall over the height of stenosis has shown in the figures (10)(11)(12)(13)(14)(15)(16)(17).…”

Section: Solutionmentioning

confidence: 99%

Mathematical Modelling on an Electrically Conducting Fluid Flow in an Inclined Permeable Tube with Multiple Stenoses

Prasad¹,

Yasa²

2019

IJITEE

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The effect of electrically conducting fluid flow in an inclined tube with permeable walls and having multiple stenosis through porous medium was studied. The Homotopy Perturbation Method is used to calculate the phenomena of Nanoparticle and temperature of the coupled equations. The solutions have been analyzed on the basis of pressure drop, resistance to the flow and wall shear stress. It is identified that the heights of the stenosis, Thermophoresis parameter, local temperature Grashof number, local nanoparticle Grashof number, Magnetic parameter increases with the resistance to the flow and Brownian motion number, permeability constant decreases with resistance to the flow. It is remarkable that, the resistance to the flow is found increasing for the values of inclination and decreases for the values of . The observation also notes that, the shear stress at the wall is found increasing with the height of the stenosis, Inclination, Thermophoresis parameter, local nanoparticle Grashof number and Permeability constant, but found decreasing with Brownian motion parameter and MagneticParameter.

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“…Effect logs of double diffusion on MHD Prandtl nano fluid adjacent to 4 stretching surfaces by way of numerical approach have explored by Bilal et al [3]. Analysis of peristaltic flow for a Prandtl fluid model in an endoscope was adopted by Nadeem et al [4].…”

Section: Introductionmentioning

confidence: 99%

Soret Effect on MHD Unsteady Heat and Mass Transfer of Prandtl Fluid Flow Past an Exponentially Vertical Plate

Mondal¹,

Biswas²,

Hasan³

et al. 2019

MMC_B

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Prandtl fluid flow behaviour with the influence of magnetohydrodynamics (MHD) heat and mass transfer has been investigated. The fluid flow is propagated through an exponentially vertical plate where the flow model is performed through the boundary layer approximations. The governing equations are transformed into dimensionless nonlinear partial differential equations (PDEs) with the technique of as usual transformations. Non-dimensional momentum, temperature and concentration equations have been solved numerically by explicit finite difference method (EFDM) with the help of computer programming languages Compaq Visual Fortran (CVF) 6.6a. The results of stability convergence test (SCT) is used for selecting the appropriate value of various dimensionless parameters performed on velocity, temperature and concentration profiles along with the skin friction coefficient (Cf), Nusselt number (Nu) and Sherwood number (Sh) for different time intervals. The streamlines and isotherms have been analysed for different interesting parameters. Finally, a comparison of the present study with the previous study has been presented in the tabular form.

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Nanoparticle analysis for blood flow of Prandtl fluid model with stenosis

Cited by 45 publications

References 21 publications

Actions of viscous dissipation and Ohmic heating on bidirectional flow of a magneto‐Prandtl nanofluid with prescribed heat and mass fluxes

Actions of viscous dissipation and Ohmic heating on bidirectional flow of a magneto‐Prandtl nanofluid with prescribed heat and mass fluxes

Mathematical Modelling on an Electrically Conducting Fluid Flow in an Inclined Permeable Tube with Multiple Stenoses

Soret Effect on MHD Unsteady Heat and Mass Transfer of Prandtl Fluid Flow Past an Exponentially Vertical Plate

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