Modulated Viscosity-Dependent Parameters for MHD Blood Flow in Microvessels Containing Oxytactic Microorganisms and Nanoparticles

Elogail, M.A.; Mekheimer, Kh. S.

doi:10.3390/sym12122114

Cited by 23 publications

(20 citation statements)

References 59 publications

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“…Thermal radiation and Joule heat effects are taken into consideration. The obtained results are approved and verified by compare the prior with the results given by Elogail, 7 and were in good agreement.…”

Section: Introductionsupporting

confidence: 77%

“…In addition, the apparent viscosity is assumed nonconstant with temperature and concentration, thus 7 :

μ (\bar{T}, \bar{C}, \dot{γ}) = μ_{0} (1 - ε_{1} (\overset{T}{true} - {\bar{T}}_{0})) (1 + ε_{2} (\overset{C}{true} - {\bar{C}}_{0})) {(1 + {(normalΓ \overset{γ}{true})}^{a})}^{\frac{n - 1}{a}} .

…”

Section: Mathematical Formulationsmentioning

confidence: 99%

“…In addition, nanoparticles having oxytactic microorganisms become essential in medical applications, and mostly when the innovative cancer therapies, flow, heat, and mass transfers in drug delivery systems are considered. Consequently, in the current research, the study of oxygen conservation equation, as well as the concentration equation for the oxytactic microorganisms, is introduced, besides considering physical properties like thermal conductivity, viscosity, and diffusion in biofluids 7 …”

Section: Introductionmentioning

confidence: 99%

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The effect of computational processing of temperature‐ and concentration‐dependent parameters on non‐Newtonian fluid MHD: Applications of numerical methods

Ibrahim

Asfour

2022

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This investigation aims to introduce a new solution with aid of numerical methods to the blood flow of Carreau-Yasuda fluid through a microvessel. Swimming of gyrotactic microorganisms with nanoparticles is considered. A resulting system of partial differential equations is simplified by the meaning of low Reynolds number and long wavelength. This system of partial differential equations was formulated and transformed mathematically using new theories of differential transform method. Variable nonndimensional physical parameters effects, such as numbers of bioconvection Peclet and bioconvection Rayleigh, and so forth on velocity, temperature, and concentration distribution as well as oxytactic microorganism and oxygen concentration profiles are studied. All results are constructed in two cases of viscosity on the same figure, one of them in the case of variable parameters and the other in constant parameters. The existing study assured that the microorganism density in the direction near to the hypoxic tumor tissues regions grows with a rise in oxygen concentrations and the blood viscosity diminutions.

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Section: Introductionsupporting

confidence: 77%

“…In addition, the apparent viscosity is assumed nonconstant with temperature and concentration, thus 7 :

μ (\bar{T}, \bar{C}, \dot{γ}) = μ_{0} (1 - ε_{1} (\overset{T}{true} - {\bar{T}}_{0})) (1 + ε_{2} (\overset{C}{true} - {\bar{C}}_{0})) {(1 + {(normalΓ \overset{γ}{true})}^{a})}^{\frac{n - 1}{a}} .

…”

Section: Mathematical Formulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The effect of computational processing of temperature‐ and concentration‐dependent parameters on non‐Newtonian fluid MHD: Applications of numerical methods

Ibrahim

Asfour

2022

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“…simulates blood flow through a microvessel involving oxytactic microorganisms and nanoparticles [46]. e oxytactic microorganisms exhibit negative chemotaxis to gradients of oxygen (oxygen repellents).…”

Section: For Non-newtonian Motionmentioning

confidence: 99%

Roll of Newtonian and Non-Newtonian Motion in Analysis of Two-Phase Hepatic Blood Flow in Artery during Jaundice

Singh

Khan

Kushwaha

et al. 2022

International Journal of Mathematics and Mathematical Sciences

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Biomathematics is an interdisciplinary subject consisting of mathematics and biology, which is widely applicable for the analysis of biological problems. In this paper, we provide a mathematical model of two-phase hepatic blood flow in a jaundice patient’s artery. The blood flow is thought to be a two-phased process. The clinical data of a jaundice patient (blood pressure and hemoglobin) is gathered. To begin, hemoglobin is transformed into hematocrit, and blood pressure is turned to a decline in blood pressure. For the examination of hepatic arteries in Newtonian and non-Newtonian movements, a mathematical model is constructed. The relationship between two-phase blood flow flux and blood pressure reduction in the hepatic artery is established. For various hematocrit levels, the blood pressure decrease is determined. The patient’s states are defined by the slope of the linear relationship between computed blood pressure decrease and hematocrit.

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“…Elogail and Mekheimer [ 16 ] developed a new mathematical model simulating microvascular blood flow with oxygen-repellent microorganisms and nanoparticles in the presence of heat and mass transfer coupled with progressive patterns of microorganisms. In this study, the blood viscosity was considered to vary with temperature, nanoparticle concentration, and shear strain.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Artery Wall Elasticity Effect on the Prediction of Atherosclerosis by Hemodynamic Factors

Kalbasi

Sharifzadeh

Jahangiri

2022

Applied Bionics and Biomechanics

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Atherosclerosis is a vascular disease in which some parts of the artery undergo stenosis due to the aggregation of fat. The causes and location of stenosis can be determined using fluid mechanics and parameters such as pressure, effective wall shear stress, and oscillatory shear index (OSI). The present study, for the first time, numerically investigates the pulsatile blood flow inside arteries with elastic and rigid walls in simple and double stenosis (80% stenosis) by using k -ω model and physiological pulse. The reason for applying the k -ω model in the present study was to provide more consistent results with clinical results to improve the accuracy in estimating atherosclerosis disease. The investigation of the time-mean wall shear stress indicated that for double stenosis, the difference between the results of the rigid and elastic artery assumptions is greater than the case of simple stenosis, so that this difference percent can be up to 2.5 times. In addition, the results showed that the pressure drop for the first stenosis is greater than the second stenosis, by 810 Pa (for solid artery) and 540 Pa (for elastic artery). The results also revealed that for simple stenosis, the length of the diseases prone zone in the elastic artery is 21% longer than the rigid one which this figure for double stenosis is calculated to be about 40%. Comparing the results of the simple stenosis with double, one affirmed that the artery wall thickness growth for case of double stenosis is greater than that of the single one.

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Modulated Viscosity-Dependent Parameters for MHD Blood Flow in Microvessels Containing Oxytactic Microorganisms and Nanoparticles

Cited by 23 publications

References 59 publications

The effect of computational processing of temperature‐ and concentration‐dependent parameters on non‐Newtonian fluid MHD: Applications of numerical methods

The effect of computational processing of temperature‐ and concentration‐dependent parameters on non‐Newtonian fluid MHD: Applications of numerical methods

Roll of Newtonian and Non-Newtonian Motion in Analysis of Two-Phase Hepatic Blood Flow in Artery during Jaundice

Investigation of Artery Wall Elasticity Effect on the Prediction of Atherosclerosis by Hemodynamic Factors

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