Pulsatory Channel Flows with Arbitrary Pressure Gradients

Majdalani, Joseph; Chibli, Hicham A.

doi:10.2514/6.2002-2981

Cited by 8 publications

(7 citation statements)

References 49 publications

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“…As stream bother [40] is pivot evenness, the assessment can be decreased to a significant number of the concentric chambers in the annular region. The dimensionless condition (20) and ( 21) becomes…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…Afterward, a few analysts and researchers endeavored to assess peristaltic streams utilizing one of a kind liquid models and calculations. Majdalani [20] tackled the right restricting case answer for the Navier-Stokes condition, which oversees the pulsatile stream of air through a line. The voltage slope is altered utilizing the Fourier coefficient.…”

Section: Introductionmentioning

confidence: 99%

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MHD Pulsatile Flow of Blood-Based Silver and Gold Nanoparticles between Two Concentric Cylinders

et al. 2022

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Pulsatory movements appear in a variety of fascinating applications involving periodic flow propagation and control. Pulsing encourages mixing and, as a result, mass and heat exchange with the boundaries. Pulsing also helps to decrease surface fouling by allowing solid particles to migrate. An exact solution of the Navier–Stokes equations for the transport of an incompressible viscous fluid in a channel with arbitrary pressure distribution is described in this study. The flow is defined by two primary parameters: the pulsation parameter, which is determined by the periodic pressure gradient, and the kinetic Reynolds number, which is determined by the pulsation frequency. The purpose of employing hybrid nanofluid (HNF) is to increase the base fluid’s thermal conductivity. We regard Ag and Au as nanoparticles (NPs) and blood as a base fluid for this phenomenon. Broadening this reveals that the consideration of nanoparticles has impressively extended the warm movement at the parcels of both turbulent and laminar frameworks. Attention is paid to the slope of speed, temperature, and voltage. The geometric model is therefore described using a symmetry technique. We developed the governing equation for this problem’s analytical solutions. The velocity and temperature fields solution is given in the form of the Bessel and modified Bessel functions. Graph results show the mathematical benefits of the current limits: for instance, Hartmann number , solid volume part of nanoparticles , Reynolds number , Prandtl number , intermittent slob limit, etc. The strain angles introduced in the stress contrast, frictional force, velocity profile, and temperature profile were obtained, and the characteristics of the vortex were investigated. Resources at various boundaries of the perceptual flow are examined. As with the final essence, the smoothest results are analyzed and recorded. It has also been discovered that the velocity may be regulated by the external magnetic field, which affects the temperature profiles and hence the heat transfer, which can be enhanced or lowered by mastering the magnetic field.

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Section: Solution Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

MHD Pulsatile Flow of Blood-Based Silver and Gold Nanoparticles between Two Concentric Cylinders

et al. 2022

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“…It is noteworthy that an increase in the velocity provides the transformation of fluid momentum from the tube axis to the closest tube wall area. Majdalani and Chibli [10] obtained the results of the momentum equations governing the pulsative flow through a cylindrical duct where pressure was replaced by the sum of pulses described in terms of the Fourier series. Shahed [11] achieved the closed-form solutions using Laplace and Hankel transforms for flow inside the porous channel with the pulsatile motion of blood flow.…”

Section: Introductionmentioning

confidence: 99%

Pulsatile Darcy flow of water‐based thermally radiative carbon nanotubes between two concentric cylinders

Rehman

Hussain

Aziz

2022

Numerical Methods Partial

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It is perceived that the addition of nanoparticles has increased the heat transfer capabilities of ordinary fluids significantly for both turbulent and laminar flow regimes. The current investigation analyzes the effects of carbon nanotubes (CNTs) on the pulsatile flow and heat transfer characteristics of viscous fluid between two concentric cylinders in the presence of thermal radiation effects. The flow of Magneto-hydrodynamic (MHD) viscous fluid in a Darcy type porous medium is driven by the pressure gradient, assumed as a periodic function of time. The fluid is taken as optically thick and radiations can travel only a short distance within the fluid. The magnetic field is applied perpendicular to the direction of flow and the induced magnetic field is considered negligible. The conventional governing equations are based upon partial differential equations affected by the viscosity of the base fluid, effective thermal conductivity, and thermophysical characteristics of CNTs nanoparticles. The exact solutions are obtained in the form of the modified Bessel functions of the first and second kind. The effect of the flow control parameters like thermal radiation parameter N r , nanoparticles volume fraction 𝜙, and Darcy number D a are illustrated through graphs. Based on a comprehensive analysis, it is concluded that the addition of single-walled carbon nanotubes provides higher velocity and temperature distribution of nanofluid when compared with the multi-walled carbon nanotubes.

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“…From temperatures measured on several positions and at the inner wall of the heater, they obtained a correlation of average Nusselt number. Majdalani (2002) determined the exact solution of the Navier-Stokes equations governing the pulsatile flow in a cylindrical pipe where the pressure gradient was replaced by a sum of pulses expressed in terms of Fourier coefficients.…”

Section: Introductionmentioning

confidence: 99%

Analytical and numerical study of a pulsatile flow in presence of a magnetic field

Deghmoum¹,

Ghezal²,

Abboudi³

2015

Int. J. Phys. Sci.

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This paper deals with the effects of magnetic field on heat transfer in a pulsatile flow. A mathematical model is developed to investigate the impact of magnetic field on the velocity and the temperature distributions between two concentric ducts. Finite differences method is used in order to solve the dimensionless governing equations, and implicit schemes for velocity and temperature are obtained. The effects of magnetic field on the velocity are represented by the Hartmann number. It is found that the increase of magnetic field leads to eliminate the annular effect of the pulsatile flow. It is also found that the velocity can be controlled by the external magnetic field which leads to affect the temperature profiles and so the heat transfer that could be improved or reduced by mastering the magnetic field.

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Pulsatory Channel Flows with Arbitrary Pressure Gradients

Cited by 8 publications

References 49 publications

MHD Pulsatile Flow of Blood-Based Silver and Gold Nanoparticles between Two Concentric Cylinders

MHD Pulsatile Flow of Blood-Based Silver and Gold Nanoparticles between Two Concentric Cylinders

Pulsatile Darcy flow of water‐based thermally radiative carbon nanotubes between two concentric cylinders

Analytical and numerical study of a pulsatile flow in presence of a magnetic field

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