Magnetohydro Dynamic Flow of Blood in a Permeable Inclined Stretching Surface with Viscous Dissipation, Non-Uniform Heat Source/Sink and Chemical Reaction (original) (raw)
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Nonlinear Engineering
A study has been carried for a viscous, incompressible electrically conducting MHD blood flow with temperature-dependent thermal conductivity and viscosity through a stretching surface in the presence of thermal radiation, viscous dissipation, and chemical reaction. The flow is subjected to a uniform transverse magnetic field normal to the flow. The governing coupled partial differential equations are converted into a set of non-linear ordinary differential equations (ODE) using similarity analysis. The resultant non-linear coupled ordinary differential equations are solved numerically using the boundary value problem solver (bvp4c) in MATLAB with a convincible accuracy. The effects of the physical parameters such as viscosity parameter ( μ ( T ˜ b ) ) \left({\mu ({{\tilde T}_b})} \right) , permeability parameter (β), magnetic field parameter (M), Local Grashof number (Gr) for thermal diffusion, Local modified Grashof number for mass diffusion (Gm), the Eckert number (Ec), the therm...
In this study, we have analyzed heat and mass transfer effects on unsteady blood flow along a parallel plate channel with heat source and chemical reaction. Strength of magnetic field B0 is applied perpendicularly. The governing higher order nonlinear PDEs are solved by converting into ODEs under the similarity transformations of exponential form by choosing the axial flow transport and the fields of concentration and temperature apart from the normal velocity as a function of η and t with respect to the chosen boundary conditions. The effects of different pertinent parameters appeared in this model viz thermal Grashof number Gr, mass Grashof number Gm, Prandtl number Pr, heat generation/absorption parameter N, Magnetic field M and decay parameter λ on axial flow transport with the normal velocity are analyzed in detail. KEYWORDS: Blood flow, Similarity solution, Decay parameter, Heat source, Mass transfer, Chemical reaction.
International Journal of Heat and Fluid Flow, 2018
We have developed a computational model to investigate the unsteady flow of blood and heat transfer characteristics through a sinusoidally varying arterial segment under magnetic environment. Direct numerical simulation has been performed by employing stream function-vorticity formulation followed by a coordinate transformation. The transformed governing equations have been solved using the finite difference scheme by developing Peaceman-Rachford Alternating Direction Implicit (P-R ADI) method. The results show that the rate of heat transfer diminishes with a rise in the magnetic field strength, whereas the trait is reversed in the case of Reynolds number and amplitude of wavy vessel. The skin-friction is high for greater values of amplitude of oscillation of arterial wall. An interesting result can be documented that the Nusselt number has decreasing effect with magnetic field strength at higher Reynolds number, while it increases when Reynolds number is low.
Influence of a Magnetic Field on Blood Flow Through an Inclined Tapered Vessel with a Heat Source
International Journal of Multidisciplinary Research and Analysis, 2023
In this study, we investigated the effect of a heat source on blood flow through a gradient-tapered vessel under the influence of a gradient magnetic field by reformulating the problem using a mathematical model representing the blood momentum and energy equations. The partial differential equations were dimensionlessly scaled using a scaling parameter and further reduced to a system of ordinary differential equations. A coupled system of regular equations was solved using the series method to obtain analytical solutions for temperature and blood velocity profiles. Numerical simulations were performed using Wolfram Mathematica version 12 and varied parameters relevant to the investigation. The results showed that the relevant parameters—magnetic field, radiation parameter, Grashof number, and tilt angle contributed to liquid temperature and blood flow velocity, respectively. The novelty of this study is the fact that heat can be introduced from a heat source for the purpose of helpi...
2021
Received: 25 October 2019 Accepted: 2 December 2020 In this study, the heat and mass transfer of the blood flow, particularly in a capillary tube having a porous lumen and permeable wall in the presence of external magnetic field are considered. The velocity, temperature and concentration of blood flow become unsteady due to the time dependence of the stretching velocity, surface temperature and surface concentration. The thermal and mass buoyancy effect on blood flow, heat transfer and mass transfer are taken into account in the presence of thermal radiation. This analysis is very much useful in the treatment of cardiovascular disorders. The equations governing the flow under some assumptions are complex in nature, but capable of presenting the realistic model of blood flow using the theory of boundary layer approximation and similarity transformation. First, the system of coupled partial differential equations (PDEs) is converted into a system of coupled ordinary differential equa...
International Journal of Scientific & Engineering Research
In this paper, an analysis of chemical reaction, heat source and thermal radiation effects on unsteady blood flow through a plate channel that is parallel and horizontal with an inclined magnetic field in a medium that is porous and saturated is considered. The governing equation that is non-linear higher partial differential equation are converted to ordinary differential equations using dimensionless variables to dimensionless equations, which is analytically solved with applied boundary conditions using velocity, concentration and temperature for the functions of y and t. Different parameters had effects on the blood flow temperature and concentration with the results discussed and illustrated graphically.
MATHEMATICAL ANALYSIS OF UNSTEADY MHD BLOOD FLOW THROUGH PARALLEL PLATE CHANNEL WITH HEAT SOURCE
A mathematical model of flimsy blood move through parallel plate channel under the action of a connected steady transverse attractive field is proposed. The model is subjected to warm source. Expository articulations are gotten by picking the hub speed; temperature dispersion and the typical speed of the blood rely upon y and t just to change over the arrangement of fractional differential conditions into an arrangement of normal differential conditions under the conditions characterized in our model. The model has been breaking down to discover the impacts of different parameters, for example, Hart-mann number, warm source parameter and Prandtl number on the hub speed, temperature circulation, and the ordinary speed. The numerical arrangements of pivotal speed, temperature conveyances, and typical speed are demonstrated graphically for better comprehension of the issue. Subsequently, the present numerical model gives a straightforward type of pivotal speed, temperature circulation and typical speed of the bloodstream so it will help not just individuals working in the field of Physiological liquid elements yet in addition to the restorative professionals.
International Journal of Heat and Technology
In the present study, a two-dimensional pulsatile blood flow model is created and the related heat transfer characteristics through a stenosed artery are investigated in the presence of a defined magnetic field with the body acceleration. The blood domain is assumed as a nonlinear, time-dependent, incompressible and laminar flow. The blood flow is considered with the unsteady characteristics because the pulsatile pressure gradient is arising due to the systematic reactions between the heart and the body acceleration. The non-linear momentum and continuity equations are solved with suitable initial and boundary conditions using the Crank-Nicolson scheme. In this study, the blood flow characteristics (velocity profiles, temperature, volumetric flow rate and flow resistance) are evaluated, also effects of the defined stenosis severity, the heat transfer factors and the considered magnetic field on the effective flow properties are discussed. Besides, the blood flow characteristics have been analyzed in a comparison form for two rigid and elastic arteries. Finally, it should be said that the present outputs are in good agreement with some available and validated results.
We present a numerical investigation of tapered arteries that addresses the transient simulation of non-Newtonian bio-magnetic fluid dynamics (BFD) of blood through a stenosis artery in the presence of a transverse magnetic field. The current model is consistent with ferro-hydrodynamic (FHD) and magneto-hydrodynamic (MHD) principles. In the present work, blood in small arteries is analyzed using the Carreau-Yasuda model. The arterial wall is assumed to be fixed with cosine geometry for the stenosis. A parametric study was conducted to reveal the effects of the stenosis intensity and the Hartman number on a wide range of flow parameters, such as the flow velocity, temperature, and wall shear stress. Current findings are in a good agreement with recent findings in previous research studies. The results show that wall temperature control can keep the blood in its ideal blood temperature range (below 40˚C) and that a severe pressure drop occurs for blockages of more than 60 percent. Additionally, with an increase in the Ha number, a velocity drop in the blood vessel is experienced.
Modeling of Blood Flow through Stenosed Artery with Heat in the Presence of Magnetic Field
Asian Research Journal of Mathematics
An investigation of an oscillatory blood flow in an indented artery with heat source in the presence of magnetic field was carried out. The formulated governing models are solved using Frobenius method where the solutions are transformed into Bessel functions 0 () I r β and 0 () K r β of order zero of the first and second kind. The computational results are presented graphically for the velocity profile (,) w r t , the temperature profile () r θ. The study reveals that the blood flow is appreciably influenced by the presence of a magnetic field and also by the value of the Grashof Gr number. It is observed that the presence of the magnetic field M retards the velocity profile as well as the flow rate; the Grasof number Gr causes an increment in the velocity profile which is consistent with the existing laws of physics. Furthermore, the radiation parameter Rd does affect the velocity profile which means, it