Analytical Solution of Mathematical Model of Magnetohydrodynamic Blood Nanofluid Flowing Through an Inclined Multiple Stenosed Artery

Changdar, Satyasaran; De, Soumen

doi:10.1166/jon.2017.1393

Cited by 22 publications

(8 citation statements)

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“…M , ϕ, λ,

D_{e}

, n , m ,

P_{r}

, χ,

G r_{b}

, and

G r_{s}

) were extracted from Refs. . When the flow of blood‐gold Carreau nanofluid was characterized as shear‐thinning (

n = 0.1

M = 0.1

ϕ = λ = D_{e} = 0.1

m = 0.2

χ = 1.2

, and the influence of partial slip was minimized (

λ = 0.1

) and maximized (

λ = 2

), the effects of buoyancy parameter depending on the volumetric coefficients of thermal expansion of the base fluid

G r_{b}

and the gold nanoparticles

G r_{s}

are illustrated in Figures –.…”

Section: Numerical Solution Results and Discussionmentioning

confidence: 99%

“…It is worth noting that Equation is only applicable to spherical particles/nanoparticles and low particle volume fractions. Brinkman postulated the relationship between viscosity of solutions and suspensions of moderate particles of the form

\frac{μ_{n f}}{μ_{b f}} = \frac{1}{{(1 - ϕ)}^{2.5} .}

An extension of the model for the case where viscosity of the nanofluid

μ_{n f}

, viscosity of the base fluid

μ_{b f}

for blood‐gold nanofluid as adopted by Changdar and De is of the form

\frac{μ_{n f}}{μ_{b f}} = 1 + 7.3 ϕ + 123 ϕ^{2}, for ϕ > 0.02

Based on the outcome of the experimental result carried out by Afshari et al . Mintsa et al .…”

Section: Description Of the Boundary Layer Flow Formulation Of Govermentioning

confidence: 99%

“…–) Casson model was adopted to unravel the flow of blood through a stenosed catheterized artery, plane surface, and cartesian surface. Recently, Changdar and De investigated transport characteristics of a blood nanofluid in a vascular artery owing to its relevance in the field of nanoparticle drug delivery by using the correlation for the viscosity of nanofluids presented by Wang et al . in Michaelides .…”

Section: Introductionmentioning

confidence: 99%

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Heat transfer in the flow of blood‐gold Carreau nanofluid induced by partial slip and buoyancy

Kọrikọ

Animasaun

Mahanthesh

et al. 2018

Heat Trans. Asian Res.

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Dynamics of blood containing gold nanoparticles on a syringe and other objects with a nonuniform thickness is of importance to experts in the industry. This study presents the significance of partial slip (i.e. combination of linear stretching and velocity gradient) and buoyancy on the boundary layer flow of blood-gold Carreau nanofluid over an upper horizontal surface of a paraboloid of revolution (uhspr). In this report, the viscosity of the Carreau fluid corresponding to an infinite shear-rate is assumed as zero, meanwhile, the viscosity corresponding to zero shear-rate, density, thermal conductivity, and heat capacity were assumed to vary with the volume fraction of nanoparticles. The governing equation that models the transport phenomenon were non-dimensionalized and parameterized using suitable similarity variables and solved numerically using classical Runge-Kutta method with shooting techniques and MATLAB bvp4c package for validation. The results show that temperature distribution across the flow decreases more significantly with buoyancy-related parameter when the influence of partial slip was maximized. Maximum velocity of the flow is ascertained at larger values of partial slip and buoyancy parameters. At smaller values of Deborah number and large values of volume fraction, 806

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“…M , ϕ, λ,

D_{e}

, n , m ,

P_{r}

, χ,

G r_{b}

, and

G r_{s}

) were extracted from Refs. . When the flow of blood‐gold Carreau nanofluid was characterized as shear‐thinning (

n = 0.1

M = 0.1

ϕ = λ = D_{e} = 0.1

m = 0.2

χ = 1.2

, and the influence of partial slip was minimized (

λ = 0.1

) and maximized (

λ = 2

), the effects of buoyancy parameter depending on the volumetric coefficients of thermal expansion of the base fluid

G r_{b}

and the gold nanoparticles

G r_{s}

are illustrated in Figures –.…”

Section: Numerical Solution Results and Discussionmentioning

confidence: 99%

\frac{μ_{n f}}{μ_{b f}} = \frac{1}{{(1 - ϕ)}^{2.5} .}

An extension of the model for the case where viscosity of the nanofluid

μ_{n f}

, viscosity of the base fluid

μ_{b f}

for blood‐gold nanofluid as adopted by Changdar and De is of the form

\frac{μ_{n f}}{μ_{b f}} = 1 + 7.3 ϕ + 123 ϕ^{2}, for ϕ > 0.02

Based on the outcome of the experimental result carried out by Afshari et al . Mintsa et al .…”

Section: Description Of the Boundary Layer Flow Formulation Of Govermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Heat transfer in the flow of blood‐gold Carreau nanofluid induced by partial slip and buoyancy

Kọrikọ

Animasaun

Mahanthesh

et al. 2018

Heat Trans. Asian Res.

View full text Add to dashboard Cite

show abstract

“…The model is extended for the phenomenon where the nanoliquid viscosity and base viscosity for blood-gold nanoliquid are described by Changdar and De [49] as…”

Section: Problem Formulationmentioning

confidence: 99%

Numerical simulation of a nonlinear coupled differential system describing a convective flow of Casson gold–blood nanofluid through a stretched rotating rigid disk in the presence of Lorentz forces and nonlinear thermal radiation

Khan

Bilal

Zaib

et al. 2020

Numer Methods Partial Differential Eq.

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Extensive analysis has recently been presented on the applications of nanofluids in heat transfer developments. The primary concern of this work is to excogitate the flow features of blood flow with the inclusion of gold plated nanoparticles. In this regard, the Casson fluid model was adopted to simulate the transportation of blood flow. The momentum features of flowing fluid are divulged by incorporating magnetization and porosity aspects whereas thermal attributes of concerned flow are anticipated under nonlinearized radiating thermal flux. Formulated governing expressions are transmuted into the system of the nonlinearized ordinary differential structure by implementing appropriate conversion. The solution is headed by implementing an efficient build in routine renowned as bvp4c based on the finite differencing. The impacts of the involved parameters on the resulting dimensionless profiles are discussed thoroughly. The results indicating that the velocity in radial direction declines with augmenting the nanoparticle volume fraction, while the velocity in the azimuthal direction and the temperature upsurge. Besides, the velocities in the radial and azimuthal directions 308

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“…The effect of the yield stress, the reaction rate constant and K–L parameters on the equivalent dispersion coefficient are discussed. Furthermore, several researchers have studied the impact of magnetic fields on the blood flow in an artery with stenosis (one instance or multiple ones) on the different fluid models 20–24 …”

Section: Introductionmentioning

confidence: 99%

Modify homotopy perturbation method using yang transform to study the effect of magnetic field with mass and heat transfer on pulsatile blood flow in tapered stenosis arteries

Al‐Griffi

Al‐Saif

2022

Heat Trans

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The effect of a magnetic field on two-dimensional pulsatile blood flow in tapered stenosis arteries was studied by employing the Yang transform homotopy perturbation method (YTHPM). The mathematical model which was solved by the researchers Liu and Liu, was successfully developed by adding the effect of a magnetic field for the blood flow in addition to the effect of mass and heat transfer on it. The impact of the angle of tapering, the Grashof number, the solutal Grashof number, and the magnetic field on the axial velocity, the wall shear stress, flow resistance, and the volumetric flow rate was investigated in two cases absence and presence of the magnetic field. The results prove that YTHPM is efficacious and highly accurate in finding the analytical approximate solution for pulsatile blood flow in tapered stenosis arteries under the influence of a magnetic field. The convergence of the new solutions is also discussed in the absence and presence of the magnetic field. Further, the graphs of these new solutions show the validity of, a necessity for, and utility of YTHPM, and are in line with results put forward by other studies.

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Analytical Solution of Mathematical Model of Magnetohydrodynamic Blood Nanofluid Flowing Through an Inclined Multiple Stenosed Artery

Cited by 22 publications

References 0 publications

Heat transfer in the flow of blood‐gold Carreau nanofluid induced by partial slip and buoyancy

Heat transfer in the flow of blood‐gold Carreau nanofluid induced by partial slip and buoyancy

Numerical simulation of a nonlinear coupled differential system describing a convective flow of Casson gold–blood nanofluid through a stretched rotating rigid disk in the presence of Lorentz forces and nonlinear thermal radiation

Modify homotopy perturbation method using yang transform to study the effect of magnetic field with mass and heat transfer on pulsatile blood flow in tapered stenosis arteries

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