Analysis of bifurcation dynamics of streamlines topologies for pseudoplastic shear thinning fluid: Biomechanics application

Shahzadi, Iqra; Ahsan, Naveed; Nadeem, S.; Issakhov, Alibek

doi:10.1016/j.physa.2019.122502

Cited by 20 publications

(10 citation statements)

References 23 publications

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“…The system of nonlinear ordinary differential equations Eq. (17), (19) and (20) is solved analytically by the help of homotopy perturbation technique, the method appoints a homotopy modify to obtain an approximate series solution of differential equations. In view of the HPM [25][26][27], Eq.…”

Section: Methods Of Solutionsmentioning

confidence: 99%

“…The constitutive equation of Bingham model which represents the relation between stress  and rate of strain  can be written as [19]…”

Section: Mathematical Formulationsmentioning

confidence: 99%

“…foams, pastes, slurries, oils, ceramics, etc.) exhibit the fundamental character of viscoplasticity, that is the capability of lowing only if the stress is above some critical value [19][20][21]. However, Bingham model is not amenable to numerical analysis because in some complex applications, some parts of material flow behave as a solid.…”

Section: Introductionmentioning

confidence: 99%

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MHD Peristaltic Transport of Bingham Blood Fluid with Heat and Mass Transfer Through a Non-Uniform Channel

Eldabe

Abou-zeid

Shawky

2020

ARFMTS

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In the present work, the flow of non-Newtonian Bingham blood fluid through non-uniform channel is investigated. The fluid is electrically conducting, and the external uniform magnetic field is applied on this motion. The heat and mass transfer are taken in consideration, so, Soret and Dufour effects are studied. The problem is modulated mathematically by a system of non-linear partial differential equations which govern the velocity, temperature and concentration distributions. The system of these equations is simplified under the assumptions of long wavelength and low Reynolds number, then it is solved analytically by using homotopy perturbation technique. These distributions are obtained as a function of the physical parameters of the problem. The effects of these parameters on the obtained solutions are discussed numerically and illustrated graphically through a set of figures. These parameters play an important role to control the values of solutions. The used Bingham model is applicable for the physiological transportation of blood in arteries.

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Section: Methods Of Solutionsmentioning

confidence: 99%

“…The constitutive equation of Bingham model which represents the relation between stress  and rate of strain  can be written as [19]…”

Section: Mathematical Formulationsmentioning

confidence: 99%

See 1 more Smart Citation

MHD Peristaltic Transport of Bingham Blood Fluid with Heat and Mass Transfer Through a Non-Uniform Channel

Eldabe

Abou-zeid

Shawky

2020

ARFMTS

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“…In this way, it's important to look at the effects of dilatations and stenosis on blood flow in these narrow arteries. Numerous experts have studied the various blood flow streams through regular, aneurysmal and stenotic arteries, as shown by the references [1][2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Concentric Catheterization to the Fractional non-Newtonian Hybrid Nano Blood Flow through a Stenosed Aneurysmal Artery

Mehmood¹,

Bibi²,

Jamil³

et al. 2021

Preprint

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The main theme of this paper is to analyze the effects of concentric catheterization to the diseased arterial segment having both stenosis and aneurysm along its boundary. Fractional second grade hybrid nanofluid model is under consideration. Governing equations are formulated and further linearized for both cases of mild stenosis and aneurysm. Precise articulations for various important flow characteristics heat transfer, hemodynamic velocity, wall shear stress and resistance impedance are attained. Graphical portrayals for the impact of the significant parameters on the flow attributes have been devised and talked about. The worldwide conduct of blood has been examined using an instantaneous streamlines pattern. The present concept plans to be of use in medical regime for the drug conveyance system and biomedicines.

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“…Since then, sizeable literature on this topic is reported under different conditions. Recent contributions in this order may be mentioned by the studies (Goswami et al , 2016; Muthuraj et al , 2016; Shit and Ranjit, 2016; Hayat et al , 2018, 2016a; Abbasi et al , 2016; Abbasi and Shehzad, 2017; Fusi and Farina, 2018; Khan et al , 2018, 2020; Hussain et al , 2018; Bhatti et al , 2016, 2019a; Iftikhar et al , 2018; Shahzadi et al , 2017; Bhatti et al , (2019b); Waqas et al , 2020; Riaz et al , 2019; Abdelsalam et al , 2019; Sheikholeslami and Bhatti, 2019; Abbas et al , 2019, 2020; Rashid et al , 2020; Nadeem et al , 2020; Shahzadi et al , 2020a, b; Rizwana et al , 2019; Ahmad et al , 2020) and many references therein. Analytical study of MHD channel flows is of wide interest in real-life applications in design of cooling systems having liquid metals such as accelerators, petroleum industry, fluid droplets sprays and aerodynamics heating.…”

Section: Introductionmentioning

confidence: 99%

A mathematical framework for peristaltic mechanism of non-Newtonian fluid in an elastic heated channel with Hall effect

Javed

2020

MMMS

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Purposeobjective of the present investigation is to examine the influence of Hall on the peristaltic mechanism of Johnson-Segalman fluid in a heated channel with elastic walls. The transmission of heat is carried out. Relevant equations are computed for heat transfer coefficient, temperature and velocity. Low Reynolds number assumptions and long wavelength are employed. The interpretation of various parameters is analyzed. The results indicate that the heat transfer coefficient, temperature and velocity are larger for viscous material in comparison with Johnson-Segalman material.Design/methodology/approachThe transmission of heat is carried out. Relevant equations are computed for heat transfer coefficient, temperature and velocity. Low Reynolds number assumptions and long wavelength are employed. The interpretation of various parameters is analyzed. The results indicate that the heat transfer coefficient, temperature and velocity are larger for viscous material in comparison with Johnson-Segalman material.FindingsThe formulation of paper is executed as follows. Section 2 comprises problem summary and mathematical design. Solution methodology is discussed, and expressions for temperature, velocity and coefficient of heat transfer are derived in Section 3. Graphical outcomes for the parameters are reported in Section 4. Conclusions are outlined in Section 5.Practical implicationsPeristaltic phenomenon of fluids has a definite role in many physiological, industrial and engineering processes. The mechanical devices for instance finger and roller pumps operate via this process, and it is quite significant for vasomotion of blood vessels, consumption of food via esophagus, chyme flow in gastrointestinal zone, toxic liquid flow in nuclear industry and transport of corrosive fluids.Originality/valueLiterature review witnesses that information about peristalsis of conducting fluid in a heated channel with flexible walls and Hall effect is scarce. So, our goal is to discuss the peristaltic activity of non-Newtonian fluids in flexible channel. Johnson-Segalman fluid is taken into account. This model is used to allow non-affine deformations. Experimentalists relate “spurt” with wall slip. That is why the work presented is original.

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Analysis of bifurcation dynamics of streamlines topologies for pseudoplastic shear thinning fluid: Biomechanics application

Cited by 20 publications

References 23 publications

MHD Peristaltic Transport of Bingham Blood Fluid with Heat and Mass Transfer Through a Non-Uniform Channel

MHD Peristaltic Transport of Bingham Blood Fluid with Heat and Mass Transfer Through a Non-Uniform Channel

Concentric Catheterization to the Fractional non-Newtonian Hybrid Nano Blood Flow through a Stenosed Aneurysmal Artery

A mathematical framework for peristaltic mechanism of non-Newtonian fluid in an elastic heated channel with Hall effect

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