Generalized Model of Blood Flow in a Vertical Tube with Suspension of Gold Nanomaterials: Applications in the Cancer Therapy

Imtiaz, Anees; Foong, Oi-Mean; Aamina,; Khan, Nabeel; Ali, Farhad; Khan, Ilyas

doi:10.32604/cmc.2020.011397

Cited by 13 publications

(15 citation statements)

References 7 publications

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“…e transverse magnetic field is applied along with heat transfer through natural convection. Smooth flow of fluid is considered, which implies that the Reynolds number is very low, and the induced magnetic field can be neglected [44]. At time t � 0, fluid and cylinder both are at rest with ambient temperature T ∞ .…”

Section: Problem Formulationmentioning

confidence: 99%

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Magnetohydrodynamic Blood Flow in a Cylindrical Tube with Magnetic Particles: A Time Fractional Model

Ali

Majeed

Imtiaz

2021

Mathematical Problems in Engineering

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The present work theoretically investigates the natural convection blood flow as a Brinkman-type fluid with uniformly distributed magnetic particles in a circular cylindrical tube with the applied external magnetic field. The classical model for the blood flow is generalized by using the definition of Caputo time-fractional derivative. The exact solutions are obtained by using the Laplace and Henkel transforms. Unlike the classical model, the obtained general results are expressed in the form of “Lorenzo and Hartley’s” and “Robotnov and Hartley’s” functions. Graphs are plotted to show the effects of different parameters on the blood flow. Furthermore, the velocity and temperature distributions are discussed in terms of memory. The effect of fractional parameter α for a long and short time has also been observed. It is noticed that blood velocity can be controlled using the fractional parameter. It is also found that, for τ > 0 , fluid and particles motion increased, and reverse behavior is observed for τ < 0 . It has been noticed that increasing values of particle mass parameter P m and magnetic parameter M slow down the motion of blood and magnetic particles. These results are helpful for effective drug delivery and regulating blood flow.

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Section: Problem Formulationmentioning

confidence: 99%

“…Fractional calculus is used in bioengineering, mathematics, finance, and disease dynamics [42,43]. Imtiaz et al [44] proposed a fractional model for blood flow containing metallic particles in a cylindrical tube. Singha and Sengupta [40] used fractional derivative to observe fluid flow with dusty particles.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Blood Flow in a Cylindrical Tube with Magnetic Particles: A Time Fractional Model

Ali

Majeed

Imtiaz

2021

Mathematical Problems in Engineering

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“…They noticed that rate of heat transfer of engin oil is enhanced up to 12.38 by the inclusion of Molybdenum disulphide nanoparticles in the base fluid. Imtiaz et al 33 investigated the blood flow with gold nanomaterials in a cylidrical tube under the oscillating pressure gradient and magnetic field using Caputo Fabrizio and Atangana–Baleanue derivatives approaches. Kotnurkar 34 presented the bioconvective peristaltic flow of a third-grade nanofluid flow with Cu-blood nanoparticles and gyrotactic microorganisms.…”

Section: Introductionmentioning

confidence: 99%

Rotating flow assessment of magnetized mixture fluid suspended with hybrid nanoparticles and chemical reactions of species

Khan

Shah

Sohail

et al. 2021

Sci Rep

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The current study characterizes the effects of Hall current, Arrhenius activation energy and binary chemical reaction on the rotating flow of hybrid nanofluid in two double disks. By the use of suitable similarity transformations, the system of partial differential equations and boundary conditions for hybrid nanofluid are transformed to ordinary differential equations which are solved through optimal homotopy analysis method. The intensified magnetic field and hybrid nanofluid performances are represented in three dimensional model with flow, heat and mass transfer. Radial velocity decreases and tangential velocity increases with the Hall parameter. Temperature rises with high values of rotation parameter while it decreases with the Prandtl number. Nanoparticles concentration enhances with the increments in Arrhenius activation energy parameter and stretching parameter due to lower disk. There exists a close and favorable harmony in the results of present and published work.

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“…It is expressed in terms of the systolic (maximum) pressure over diastolic (minimum) pressure. BP is one among several vital signs of the body, along with heart rate, respiratory rate, body temperature, and oxygen saturation [1][2][3]. In adult, the normal resting blood pressure is observed to be approximately 120/80 mmHg [4].…”

Section: Introductionmentioning

confidence: 99%

Modeling of On-Chip Biosensor for the in Vivo Diagnosis of Hypertension in Wireless Body Area Networks

et al. 2021

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High Blood Pressure (HBP) over a long period of time leads to a medical condition known as Hypertension (HTN or HT), in which the arterial blood pressure is persistently inflated. In this research, a blood pressure biosensor has been implemented that monitors the different stages of hypertension by measuring the varying blood pressure values. Further, a system design has been proposed for the theranostics (combination of diagnosis and therapy) of hypertension. The proposed sensor takes blood pressure as the input, and gives the corresponding electrical signal variations at the output, so as to detect the exact stage of hypertension. The working principle of this BP sensor is based on the electrostatic transduction mechanism. The proposed system aims to design a low-cost, easily available, implantable lab-on-chip (LoC) platform for the continuous measurement of blood pressure by keeping track of the patient history, so as to prevent chronic hypertensive disorders. Further, such an implantable LoC theranostic platform is among the best possible solutions for the e-healthcare systems, owing to its potential in a wireless body area network (WBAN) using Internet of Things (IoT) and other similar technologies.

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Generalized Model of Blood Flow in a Vertical Tube with Suspension of Gold Nanomaterials: Applications in the Cancer Therapy

Cited by 13 publications

References 7 publications

Magnetohydrodynamic Blood Flow in a Cylindrical Tube with Magnetic Particles: A Time Fractional Model

Magnetohydrodynamic Blood Flow in a Cylindrical Tube with Magnetic Particles: A Time Fractional Model

Rotating flow assessment of magnetized mixture fluid suspended with hybrid nanoparticles and chemical reactions of species

Modeling of On-Chip Biosensor for the in Vivo Diagnosis of Hypertension in Wireless Body Area Networks

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