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- Blood flow (2)
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Articles 1 - 11 of 11
Full-Text Articles in Physics
Closed Form Solutions Of Unsteady Two Fluid Flow In A Tube, J. Liu, C. Y. Wang
Closed Form Solutions Of Unsteady Two Fluid Flow In A Tube, J. Liu, C. Y. Wang
Applications and Applied Mathematics: An International Journal (AAM)
Exact closed form solutions for the mathematical model of unsteady two fluid flow in a circular tube are presented. The pressure gradient is assumed to be oscillatory or exponentially increasing or decreasing in time. The instantaneous velocity prof iles and flow rates depend on the size of the core fluid, the density ratio, the viscosity ratio, and a parameter (e.g. the Womersley number) quantifying time changes. Applications include blood flow in small vessels.
Slip And Chemical Reaction Effects On Peristaltic Transport Of A Cou-Ple Stress Fluid Through A Permeable Medium With Complaint Wall, Gurunath Sankad, Mallinath Dhange
Slip And Chemical Reaction Effects On Peristaltic Transport Of A Cou-Ple Stress Fluid Through A Permeable Medium With Complaint Wall, Gurunath Sankad, Mallinath Dhange
Applications and Applied Mathematics: An International Journal (AAM)
In the present article, the effects of slip and homogeneous-heterogeneous chemical reaction on peristaltic pumping of a couple stress fluid through a permeable medium with complaint wall is studied as a model for transport phenomena occurring in the small intestine of human beings during digestion process. The mean effective coefficient of dispersion on simultaneous homo-geneous, heterogeneous chemical reactions has been derived through long wavelength assump-tion, and conditions of Taylor’s limit. The behaviors of key parameters on the mean effective dispersion coefficient have been examined through the graphs. It is found that slip and wall pa-rameters, and amplitude ratio favor the …
Heat And Mass Transfer Effects Of Peristaltic Transport Of A Nano Fluid In Peripheral Layer, K. M. Prasad, N. Subadra, M, A. S. Srinivas
Heat And Mass Transfer Effects Of Peristaltic Transport Of A Nano Fluid In Peripheral Layer, K. M. Prasad, N. Subadra, M, A. S. Srinivas
Applications and Applied Mathematics: An International Journal (AAM)
This paper deals with a theoretical investigation of heat and mass transfer effects of peristaltic transport of a nanofluid in peripheral layer. By using appropriate methods, the velocity in the core region as well as in the peripheral region, pressure drop, time averaged flux, frictional force, temperature profile, nanoparticle phenomenon, heat transfer coefficient and mass transfer coefficient of the fluid are investigated, using lubrication theory. Effects of different physical parameters like viscosity ratio, mean radius of the central layer, Brownian motion parameter, thermophoresis parameter, local temperature Grashof number as well as local nanoparticle Grashof number on pressure rise characteristics, frictional …
Hematocrit Level On Blood Flow Through A Stenosed Artery With Permeable Wall: A Theoretical Study, A. Malek, A. Hoque
Hematocrit Level On Blood Flow Through A Stenosed Artery With Permeable Wall: A Theoretical Study, A. Malek, A. Hoque
Applications and Applied Mathematics: An International Journal (AAM)
The paper deals with the hematocrit level on resistance of flow, wall shear stress in a stenosed artery of permeable wall. In the paper we have developed and solved some theoretical formulas based on stenosis and hematocrit effects. The results highlight that the resistance of flow increases for increasing of stenosis height where the hematocrit level (35%-45%) has significant effects. Moreover, the effects of slip parameter and Darcy number due to permeability of the wall on resistance of flow have been investigated. The effects of hematocrit level, slip parameter and Darcy number have been focused on wall shear stress of …
Two-Dimensional Model Of Nanoparticle Deposition In The Alveolar Ducts Of The Human Lung, Anju Saini, V. K. Katiyar, Pratibha Pratibha
Two-Dimensional Model Of Nanoparticle Deposition In The Alveolar Ducts Of The Human Lung, Anju Saini, V. K. Katiyar, Pratibha Pratibha
Applications and Applied Mathematics: An International Journal (AAM)
In this paper a mathematical model for nanoparticle deposition in the alveolar ducts of the human lung airways is proposed. There were huge inconsistencies in deposition between ducts of a particular generation and inside every alveolated duct, signifying that limited particle concentrations can be much bigger than the mean acinar concentration. A large number of particles are unsuccessful to way out the structure during expiration. Finite difference method has been used to solve the unsteady nonlinear Navier–Stokes equations in cylindrical coordinate system governing flow assuming axial symmetry under laminar flow condition so that the problem efficiently turns into two-dimensional. An …
Hydromagnetic Peristaltic Transportation With Porous Medium Through An Asymmetric Vertical Tapered Channel And Joule Heating, S. R. Kumar
Applications and Applied Mathematics: An International Journal (AAM)
The present paper deals with a theoretical investigation of the hydromagnetic peristaltic transportation with porous medium through coaxial asymmetric vertical tapered channel and joule heating which has been studied under the assumption of long wavelength approximations. Exact analytical expressions of axial velocity, volume flow rate, pressure gradient, temperature and heat transfer coefficient at both walls were calculated. The effects of various emerging parameters, Hartmann number, Non-uniform parameter, Prandtl number, Heat generator parameter, Brinkman number, Porous parameter are discussed through the use of graphs. We notice from the figures that the temperature of the fluid increases in the entire vertical tapered …
Suspension Model For Blood Flow Through A Tapering Catheterized Inclined Artery With Asymmetric Stenosis, Devajyoti Biswas, Moumita Paul
Suspension Model For Blood Flow Through A Tapering Catheterized Inclined Artery With Asymmetric Stenosis, Devajyoti Biswas, Moumita Paul
Applications and Applied Mathematics: An International Journal (AAM)
We intend to study a particle fluid suspension model for blood flow through an axially asymmetric but radially symmetric mild stenosis in the annular region of an inclined tapered artery and a co-axial catheter in a suitable flow geometry has been considered to investigate the influence of velocity slip at the stenotic wall as well as hematocrit, shape parameter. The model also includes the tapering effect and inclination of the artery. Expressions for the flow variables have been derived analytically and their variations with various flow parameters are represented graphically. The results for the different values of the parameters involved …
Mathematical Modeling Of Two-Dimensional Unsteady Flow In Growing Tumor, N. Gracia, D. N. Riahi, R. Roy
Mathematical Modeling Of Two-Dimensional Unsteady Flow In Growing Tumor, N. Gracia, D. N. Riahi, R. Roy
Applications and Applied Mathematics: An International Journal (AAM)
We investigate the problem of unsteady fluid flow in growing solid tumors. We develop a mathematical model for a growing tumor whose boundary is taken as a sphere, and the unsteady fluid flow within the tumor is assumed to be two dimensional with respect to the radial distance and the latitudinal angle in spherical coordinates. The expressions for the time, radial and latitudinal variations of the flow velocity, pressure, and the two investigated drug concentrations within the tumor were determined analytically. We calculated these quantities in the tumor as well as in a corresponding normal tissue. We find, in particular, …
Mathematical Model: Comparative Study Of Thermal Effects Of Laser In Corneal Refractive Surgeries, Gokul Kc, Dil B. Gurung, Pushpa R. Adhikary
Mathematical Model: Comparative Study Of Thermal Effects Of Laser In Corneal Refractive Surgeries, Gokul Kc, Dil B. Gurung, Pushpa R. Adhikary
Applications and Applied Mathematics: An International Journal (AAM)
Lasers have been widely used in ophthalmology. Refractive errors are some of the most common ophthalmic abnormalities worldwide. Laser refractive surgery was developed to correct refractive errors myopia, hyperopia and astigmatism. Two types of laser surgical techniques: lamellar and thermal are available to reshape the corneal curvature. Ultraviolet (UV) emitting argon fluoride (ArF) excimer laser is used to sculpt cornea in lamellar procedures, whereas, infrared (IR) emitting holmium yttrium aluminum garnet (Ho: YAG) laser is used to shrink cornea in thermal procedure. Tissue heating is common in all types of laser surgical techniques. Hence, in this paper, a finite element …
The Two-Phase Arterial Blood Flow With Or Without A Catheter And In The Presence Of A Single Or Multi Stenosis, Ani E. Garcia, Daniel N. Riahi
The Two-Phase Arterial Blood Flow With Or Without A Catheter And In The Presence Of A Single Or Multi Stenosis, Ani E. Garcia, Daniel N. Riahi
Applications and Applied Mathematics: An International Journal (AAM)
We consider the problem of blood flow in an artery with or without a catheter and in the presence of single or multi stenosis whose shape is based on the available experimental data for the stenosis in a human’s artery. The presence of stenosis in the artery, which locally narrows portion of the artery, can be a result of fatty materials such as cholesterol in the blood. The use of catheter is important as a standard tool for diagnosis and treatment in patience whose blood flow passage in the artery is affected adversely by the presence of the stenosis within …
Mathematical Modeling Of Peristaltic Flow Of Chyme In Small Intestine, Daniel N. Riahi, Ranadhir Roy
Mathematical Modeling Of Peristaltic Flow Of Chyme In Small Intestine, Daniel N. Riahi, Ranadhir Roy
Applications and Applied Mathematics: An International Journal (AAM)
Mathematical models based on axisymmetric Newtonian incompressible fluid flow are studied for the peristaltic flow of chyme in the small intestines, which is an axisymmetric cylindrical tube. The flow is modeled more realistically modeled by assuming that the peristaltic rush wave is a non-periodic mode composed of two sinusoidal waves of different wavelengths, which propagate at the same speed along the outer boundary of the tube. Both cases of flow in a tube and in an annulus that are modeled and investigated in the present paper correspond respectively to the cases of flow of chyme in the small intestine in …