EFFECT OF RELAXATION TIME ON MHD PULSATILE FLOW OF BLOOD THROUGH POROUS MEDIUM IN AN ARTERY UNDER THE EFFECT OF PERIODIC BODY ACCELERATION

2013 ◽  
Vol 21 (02) ◽  
pp. 1350011 ◽  
Author(s):  
ISLAM M. ELDESOKY
Keyword(s):  
Porous Medium ◽  
Shear Stress ◽  
Relaxation Time ◽  
Pulsatile Flow ◽  
Axial Velocity ◽  
Physical Parameters ◽  
Body Acceleration ◽  
Electrically Conducting ◽  
The Laplace Transform ◽  
The Mathematical Model

In this investigation, the influence of relaxation time on magnetohydrodynamic (MHD) pulsatile flow of blood through porous medium in an artery under the effect of periodic body acceleration is investigated. The applied magnetic field is assumed to be constant and perpendicular to the blood flow in the artery, and blood is considered as an incompressible electrically conducting fluid. An analytical solution of the equation of motion is obtained by applying the Laplace Transform. With a view of illustrating the applicability of the mathematical model developed here, the analytic explicit expressions of axial velocity and wall shear stress are given. The results show that the values of the axial velocity and shear stress are affected by the relaxation time. Numerical results are reported for different values of the physical parameters of interest.

scholarly journals Slip Effects on the Unsteady MHD Pulsatile Blood Flow through Porous Medium in an Artery under the Effect of Body Acceleration

2012 ◽  
Vol 2012 ◽  
pp. 1-26 ◽  
Author(s):  
Islam M. Eldesoky
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
The Body ◽  
Slip Condition ◽  
Boundary Slip ◽  
Body Acceleration ◽  
Electrically Conducting ◽  
The Laplace Transform ◽  
Permeability Parameter ◽  
Magnetic Resonance Imaging Mri

Unsteady pulsatile flow of blood through porous medium in an artery has been studied under the influence of periodic body acceleration and slip condition in the presence of magnetic field considering blood as an incompressible electrically conducting fluid. An analytical solution of the equation of motion is obtained by applying the Laplace transform. With a view to illustrating the applicability of the mathematical model developed here, the analytic explicit expressions of axial velocity, wall shear stress, and fluid acceleration are given. The slip condition plays an important role in shear skin, spurt, and hysteresis effects. The fluids that exhibit boundary slip have important technological applications such as in polishing valves of artificial heart and internal cavities. The effects of slip condition, magnetic field, porous medium, and body acceleration have been discussed. The obtained results, for different values of parameters into the problem under consideration, show that the flow is appreciably influenced by the presence of Knudsen number of slip condition, permeability parameter of porous medium, Hartmann number of magnetic field, and frequency of periodic body acceleration. The study is useful for evaluating the role of porosity and slip condition when the body is subjected to magnetic resonance imaging (MRI).

Solar Radiation Effect on a Magneto Nanofluid Flow in a Porous Medium with Chemically Reactive Species

2018 ◽  
Vol 16 (9) ◽  
Author(s):  
Mohamed R. Eid ◽  
O.D. Makinde
Keyword(s):  
Porous Medium ◽  
Solar Radiation ◽  
Saturated Porous Medium ◽  
Surface Concentration ◽  
Radiation Absorption ◽  
Physical Parameters ◽  
Radiation Chemical ◽  
Electrically Conducting ◽  
Special Cases ◽  
Chemically Reactive Species

Abstract The combined impact of solar radiation, chemical reaction, Joule heating, viscous dissipation and magnetic field on flow of an electrically conducting nanofluid over a convectively heated stretching sheet embedded in a saturated porous medium is simulated. By using appropriate similarity transformation, the governing nonlinear equations are converted into ODEs and numerical shooting technique with (RK45) method is employed to tackle the problem. The effects of various thermo-physical parameters on the entire flow structure with heat and mass transfer are presented graphically and discussed quantitatively. Special cases of our results are benchmarked with some of those obtained earlier in the literature and are found to be in excellent agreement. It is found that both the temperature and surface concentration gradients are increasing functions of the non-Darcy porous medium parameter. One describing result is the incident solar radiation absorption and its transmission into the working nanofluid by convection.

Gravity flow of pulsatile blood through a porous medium under periodic body acceleration and magnetic field in an inclined tube

2016 ◽  
Vol 09 (02) ◽  
pp. 1650025 ◽  
Author(s):  
Shakera Tanveer ◽  
V. P. Rathod
Keyword(s):  
Magnetic Field ◽  
Mathematical Model ◽  
Porous Medium ◽  
Couple Stress ◽  
Gravity Flow ◽  
Body Acceleration ◽  
Electrically Conducting ◽  
Engineering Sciences ◽  
Velocity Flow ◽  
Inclined Tube

Mathematical model for the pulsatile blood flow through a porous medium under the influence of periodic body acceleration for gravity flow along an inclined tube by considering blood as a couple stress, incompressible and electrically conducting fluid in the presence of magnetic field has been investigated. Analytical expressions for axial velocity, flow rate, fluid acceleration and shear stress are obtained by applying the Laplace and finite Hankel’s transforms. The velocity profiles for various values of Hartmann number, couple stress parameters and the angle of inclination are shown graphically. Also the effects of body acceleration, Womerseley parameters and permeability parameters have been discussed. The results obtained in the present mathematical model for different values of the parameters involved in the problem show that the flow of blood is influenced by the effect of magnetic field, the porous medium and the inclination angle. The present model is compared with the other existing models. Through this theoretical investigation, the applications of magnetic field have also been indicated in the field of biological, biomedical and engineering sciences.

scholarly journals Porosity and dissipative effects in Peristalsis of hydro-magneto nanomaterial: Application of biomedical treatment

2021 ◽  
Vol 13 (4) ◽  
pp. 168781402110118
Author(s):  
Samreen Sheriff ◽  
Nazir Ahmad Mir ◽  
Shakeel Ahmad ◽  
Naila Rafiq
Keyword(s):  
Axial Velocity ◽  
Wave Length ◽  
Main Tool ◽  
Graphical Analysis ◽  
Wave Form ◽  
Physical Parameters ◽  
Closed Form Solutions ◽  
Electrically Conducting ◽  
Dissipative Effects ◽  
Peristaltic Pumping

The non-uniformity value which currently many applications of magneto-hydrodynamics are found in medicine where drug deliverance happens through peristaltic pumping phenomena, various magnetic drugs are released to target tumor diseases and to control the drug flow movement to the desired area. Owing to these facts, the aims of this article is to examine the simultaneous influence of magneto-hydrodynamics (MHD) and slip effect on unsteady peristaltic nanofluid flow in a non-uniform porous channel of finite length. The constituent governing equations for the model have been examined under the approximation of long wave length and small Reynolds value. Keeping kerosene oil and ethylene glycol as base fluids with polystyrene chosen as nanoparticle. The current analysis is carried out for the peristaltic flow transferal which carries innumerable industrialized employments. The incompressible, viscous, electrically conducting flow is studied in wave form. Here, exact method is employed to obtained closed form solutions. We have implemented computational software packages “Mathematica” as a main tool in order to obtain explicit expressions for axial velocity, temperature, stream function, pumping phenomenon and bolus formation. Obtained solutions are used for graphical analysis against different physical parameters. It is concluded that axial velocity increments for higher Hartmann number and slip parameter near the walls. The porosity effects increases the temperature whereas the temperature field shows increasing behavior for larger Brinkman number.

scholarly journals Viscous dissipation and chemical reaction effects on MHD Casson nanofluid over a stretching sheet

2019 ◽  
Vol 15 (4) ◽  
pp. 585-592
Author(s):  
Kamatam Govardhan ◽  
Ganji Narender ◽  
Gobburu Sreedhar Sarma
Keyword(s):  
Differential Equations ◽  
Chemical Reaction ◽  
Shooting Method ◽  
Stretching Sheet ◽  
Physical Parameters ◽  
Electrically Conducting ◽  
Similarity Transformations ◽  
Electrically Conducting Fluid ◽  
Layer Flow ◽  
The Mathematical Model

A numerical analysis was performed for the mathematical model of boundary layer flow of Casson nanofluids. Heat and mass transfer were analyzed for an incompressible electrically conducting fluid with viscous dissipations and chemical reaction past a stretching sheet. An appropriate set of similarity transformations were used to transform the governing partial differential equations (PDEs) into a system of nonlinear ordinary differential equations (ODEs). The resulting system of ODEs is solved numerically by using shooting method. A detailed discussion on the effects of various physical parameters and heat transfer characteristics was also included.

scholarly journals Radiation effect on unsteady MHD flow through porous medium past an oscillating inclined plate with variable temperature and mass diffusion in the presence of hall current

2016 ◽  
Vol 12 (2) ◽  
Author(s):  
U. S. Rajput ◽  
Gaurav Kumar
Keyword(s):  
Porous Medium ◽  
Variable Temperature ◽  
Mhd Flow ◽  
Mass Diffusion ◽  
Inclined Plate ◽  
Plate Temperature ◽  
Electrically Conducting ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Variable Wall

In the present paper, we study the effect of radiation on unsteady flow of a viscous, incompressible and electrically conducting fluid past an oscillating inclined plate through a porous medium with variable wall temperature and mass diffusion in the presence of transversely applied uniform magnetic field. The plate temperature and the concentration level near the plate increase linearly with time. The governing equations involved in the present analysis are solved by the Laplace-transform technique. The results obtained are discussed with the help of graphs drawn for different parameters. The numerical values obtained for skin-friction and Nusselt number have been tabulated. The results are found to be in a good agreement and the data obtained is in concurrence with the actual flow phenomenon. 

scholarly journals The Effect of Slip Velocity on Unsteady Peristalsis MHD Blood Flow through a Constricted Artery Experiencing Body Acceleration

2019 ◽  
Vol 24 (3) ◽  
pp. 645-659 ◽  
Author(s):  
J. Nandal ◽  
S. Kumari ◽  
R. Rathee
Keyword(s):  
Blood Flow ◽  
Shear Stress ◽  
Wall Shear Stress ◽  
Flow Rate ◽  
Axial Velocity ◽  
Slip Velocity ◽  
Volumetric Flow Rate ◽  
Body Acceleration ◽  
Stenosed Artery ◽  
Flow Through

Abstract In this analysis, we present a theoretical study to examine the combined effect of both slip velocity and periodic body acceleration on an unsteady generalized non-Newtonian blood flow through a stenosed artery with permeable wall. A constant transverse magnetic field is applied on the peristaltic flow of blood, treating it as an elastico-viscous, electrically conducting and incompressible fluid. Appropriate transformation methods are adopted to solve the unsteady non-Newtonian axially symmetric momentum equation in the cylindrical polar coordinate system with suitably prescribed conditions. To validate the applicability of the proposed analysis, analytical expressions for the axial velocity, fluid acceleration, wall shear stress and volumetric flow rate are computed and for having an adequate insight to blood flow behavior through a stenosed artery, graphs have been plotted with varying values of flow variables, to analyse the influence of the axial velocity, wall shear stress and volumetric flow rate of streaming blood.

scholarly journals Thermal Diffusion and Diffusion Thermo Effects on the Viscous Fluid Flow with Heat and Mass Transfer through Porous Medium over a Shrinking Sheet

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Nabil Eldabe ◽  
Mahmoud Abu Zeid
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Shear Stress ◽  
Differential Equations ◽  
Heat And Mass Transfer ◽  
Shrinking Sheet ◽  
Physical Parameters ◽  
Transfer Parameter ◽  
Mass Transfer Parameter ◽  
Permeability Parameter

The motion of the viscous, incompressible fluid through a porous medium with heat and mass transfer over a shrinking sheet is investigated. The cross-diffusion effect between temperature and concentration is considered. This phenomenon is modulated mathematically by a set of partial differential equations which govern the continuity, momentum, heat, and mass. These equations are transformed to a set of ordinary differential equations by using similarity solutions. The analytical solutions of these equations are obtained. The velocity, temperature, and concentration of the fluid as well as the heat and mass transfer with shear stress at the sheet are obtained as a function of the physical parameters of the problem. The effects of Prandtl number, mass transfer parameter, the wall shrinking parameter, the permeability parameter, and Dufour and Soret numbers on temperature and concentration are studied. Also, the effects of mass transfer parameter, permeability parameter, and shrinking strength on the velocity and shear stress are discussed. These effects are illustrated graphically through a set of figures.

Analysis of Radiative Magneto-Nanofluid over an Accelerated Plate in a Rotating Medium with Hall Effects

2017 ◽  
Vol 11 ◽  
pp. 129-145 ◽  
Author(s):  
Rohit Sharma ◽  
Syed Modassir Hussain ◽  
Hitesh Joshi ◽  
Gauri Shenkar Seth
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Shear Stress ◽  
Convective Flow ◽  
Research Work ◽  
Secondary Flows ◽  
Physical Parameters ◽  
Rotating Medium ◽  
Laplace Transform Technique ◽  
The Mathematical Model

Present research work has been undertaken to analyze the effects of Hall current on natural convective flow of radiative, incompressible, viscous and electrically conducting magneto-nanofluid over a uniformly accelerated moving vertical ramped temperature plate in a rotating medium. Three types of water based nanofluids containing the nanoparticles of alumina, copper and titanium oxide have been accounted. The mathematical model of the problem has been presented using the nanoparticle volume fraction model. The Laplace transform technique has been employed to solve the mathematical model. The closed-form expressions of nanofluid velocity, temperature, shear stress and rate of heat transfer at the plate have been obtained for both the conditions of ramped temperature and isothermal plates. The effects of various physical parameters on the nanofluid velocity due to primary and secondary flows and temperature have been exemplified using various graphs whereas, the numerical values of shear stress and rate of heat transfer at the plate have been reported in tabular form for different values of physical parameters of interest. Moreover, the numerical results have been compared for the natural convective flow near ramped temperature plate with the corresponding flow near isothermal plate. It has been noted that both the nanofluid velocity and temperature are higher in magnitude in the case of isothermal plate than that of ramped temperature plate. The results of present research work have been validated with the earlier published work.

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