Sensitivity analysis for Rabinowitsch fluid flow based on permeable artery constricted with multiple stenosis of various shapes

Shahzad, Muhammad Hasnain; Ahammad, N. Ameer; Nadeem, Sohail; Allahyani, Seham Ayesh; Eldin, Sayed M.; Awan, Aziz Ullah

doi:10.1007/s13399-022-03311-5

Cited by 7 publications

(5 citation statements)

References 20 publications

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“…The sheet is maintained at a temperature of

{\bar{T}}_{w}^{* }

, while the temperature far from the sheet is denoted as

{\bar{T}}_{\infty }^{* }

. The equations representing this problem are provided below, and are nonlinear differential equations categorized into continuity, momentum, energy, and concentration equations 43 :…”

Section: Model Description Of the Problemmentioning

confidence: 99%

“…The expression of Cauchy stress tensor for second grade is outlined through following equation 43 :

T=-PI+\mu {A}_{1}+{\alpha }_{1}{A}_{2}+{\alpha }_{2}{A}_{1}^{2},

whereas

I

signifies the identity tensor,

\mu

symbolizes the dynamic fluid viscosity,

P

is the fluid pressure,

{\alpha }_{1}\unicode{x02007}\mathrm{and}\unicode{x02007}{\alpha }_{2}

are the material parameters,

{A}_{1}\unicode{x02007}\mathrm{and}\unicode{x02007}{A}_{2}

are the Rivlin–Ericksen tensors are:

{A}_{1}=(\nabla v)+{(\nabla v)}^{T},

{A}_{2}=\frac{d{A}_{1}}{dt}+{A}_{1}(\nabla v)+{(\nabla v)}^{T}{A}_{1},

…”

Section: Model Description Of the Problemmentioning

confidence: 99%

“…Abdellahi et al 32 quantitatively evaluated mass and heat transfer in the flow of a hybrid nanofluid within a rotating system. Several previous studies [33][34][35][36][37][38][39][40][41][42][43][44] have also utilized activation energy to assess its influence on fluid dynamics.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Physical insight into thermal analysis of magnetohydrodynamic stagnation point flow of micropolar nanofluid across a flexible surface equipped with porous medium and Fourier and Fick's law

Rasheed,

Shah,

Khan

et al. 2023

Heat Trans

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Nanofluids represent a novel heat transfer liquid, making them an efficient medium for enhancing energy transmission. Nevertheless, significant knowledge gaps still exist concerning current strategies for improving heat transfer in nanofluids, underscoring the necessity for comprehensive research on these fluid systems. Therefore, this study considered theoretical analysis retrieves the influence of radiative two‐dimensional stagnation point flow of second‐grade micropolar fluid flow about an elongated channel surface implanted in porous media with magnetic effect, and modified heat and mass flux is under consideration. The major novel effect of the current study is to analyze the activation energy and thermal aspect of the system in the presence of nonlinear radiation effects that are considered in the revised mathematical framework by utilizing the boundary layer theory. The resulting set of coupled partial differential equations is further reduced and transformed into a dimensionless system of ordinary differential equations through appropriate scaling invariants. We initiate the RKF‐45 investigation scheme to numerically analyze the transformed dimensionless system, considering relevant parameters. The computational algorithm is implemented using MATLAB programming syntax. Plotted visuals are revealed for leading parameters against pertinent flow profiles graphically and with numerical data. Additionally, the convergence analysis of the numerical results for various flow profiles of the fluids were compared to establish the authenticity of the proposed flow problem. These research findings play a significant role in controlling heat transfer rates and fluid velocities in diverse manufacturing processes and industrial applications, ultimately aiding in achieving the desired product quality.

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“…The sheet is maintained at a temperature of

{\bar{T}}_{w}^{* }

, while the temperature far from the sheet is denoted as

{\bar{T}}_{\infty }^{* }

. The equations representing this problem are provided below, and are nonlinear differential equations categorized into continuity, momentum, energy, and concentration equations 43 :…”

Section: Model Description Of the Problemmentioning

confidence: 99%

“…The expression of Cauchy stress tensor for second grade is outlined through following equation 43 :

T=-PI+\mu {A}_{1}+{\alpha }_{1}{A}_{2}+{\alpha }_{2}{A}_{1}^{2},

whereas

I

signifies the identity tensor,

\mu

symbolizes the dynamic fluid viscosity,

P

is the fluid pressure,

{\alpha }_{1}\unicode{x02007}\mathrm{and}\unicode{x02007}{\alpha }_{2}

are the material parameters,

{A}_{1}\unicode{x02007}\mathrm{and}\unicode{x02007}{A}_{2}

are the Rivlin–Ericksen tensors are:

{A}_{1}=(\nabla v)+{(\nabla v)}^{T},

{A}_{2}=\frac{d{A}_{1}}{dt}+{A}_{1}(\nabla v)+{(\nabla v)}^{T}{A}_{1},

…”

Section: Model Description Of the Problemmentioning

confidence: 99%

See 1 more Smart Citation

Physical insight into thermal analysis of magnetohydrodynamic stagnation point flow of micropolar nanofluid across a flexible surface equipped with porous medium and Fourier and Fick's law

Rasheed,

Shah,

Khan

et al. 2023

Heat Trans

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“…More theoretical investigations on the blood flow via stenotic arteries of the circular cross-section are provided in Refs. [7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Investigation of Erying–Powell fluid flow in the elliptical multi‐stenosed artery: Application of perturbation method via polynomial solutions

Awan,

Fathima,

Shahzad

et al. 2023

Z Angew Math Mech

Self Cite

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In the current work, we analyzed the non‐Newtonian rheology of blood through a multi‐stenosed artery with a cross‐section of elliptical shape. The blood is regarded as Erying–Powell fluid, and flow is considered to have no slip at the stenotic wall. The mathematical model is processed to a non‐dimensional form, and conditions of mild stenosis are utilized to decrease its nonlinearity. The resulting equations are solved by applying the perturbation technique by considering the fluid characteristic parameter K as the perturbation parameter. The solution is completed by using the polynomial of degree four. The solutions of mathematical equations are deeply examined by graphical analysis. The non‐Newtonian impacts are predominant in the surrounding of the stenosed wall along the minor axis of the elliptical artery. The height of stenosis affects the pressure rise and flow resistance. The shear stress at the arterial wall is very high in the stenotic region and has more potent effects in the neighboring boundary point on the minor axis. Progressive stenosis causes a reduction in the blood flow velocity surrounding the arterial wall due to higher resistance to the flow. However, the velocity improves near the center line of the artery. Further, the fluid's velocity is very high in the constricted (stenotic zone) region.

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“…For the flow of a hybrid nanofluid in a rotating system, Abdellahi et al 37 quantitatively evaluated the mass and heat transfer. The heat and mass communication features of Newtonian and Non-Newtonian liquids were debated in distinct features by investigators for diverse physical parameters in the study [38][39][40][41][42][43][44][45][46][47][48][49][50] .…”

mentioning

confidence: 99%

Flow investigation of the stagnation point flow of micropolar viscoelastic fluid with modified Fourier and Fick’s law

Khan¹,

Khan²,

Wang³

et al. 2023

Sci Rep

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Non-Newtonian fluids are extensively employed in many different industries, such as the processing of plastics, the creation of electrical devices, lubricating flows, and the production of medical supplies. A theoretical analysis is conducted to examine the stagnation point flow of a 2nd-grade micropolar fluid into a porous material in the direction of a stretched surface under the magnetic field effect, which is stimulated by these applications. The stratification boundary conditions are imposed on the surface of the sheet. Generalized Fourier and Fick’s laws with activation energy is also considered to discuss the heat and mass transportation. To obtain the dimensionless version of the flow modeled equations, an appropriate similarity variables are used. These transfer version of equations is solved numerically by the implement of the BVP4C technique on MATLAB. The graphical and numerical results are obtained for various emerging dimensionless parameters and discussed. It is noted that by the more accurate predictions of $$\varepsilon$$ ε and M, the velocity sketch is decreased due to occurrence of resistance effect. Further, it is seen that larger estimation of micropolar parameter improves the angular velocity of the fluid.

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Sensitivity analysis for Rabinowitsch fluid flow based on permeable artery constricted with multiple stenosis of various shapes

Cited by 7 publications

References 20 publications

Physical insight into thermal analysis of magnetohydrodynamic stagnation point flow of micropolar nanofluid across a flexible surface equipped with porous medium and Fourier and Fick's law

Physical insight into thermal analysis of magnetohydrodynamic stagnation point flow of micropolar nanofluid across a flexible surface equipped with porous medium and Fourier and Fick's law

Investigation of Erying–Powell fluid flow in the elliptical multi‐stenosed artery: Application of perturbation method via polynomial solutions

Flow investigation of the stagnation point flow of micropolar viscoelastic fluid with modified Fourier and Fick’s law

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