Significance of MHD Radiative Non-Newtonian Nanofluid Flow towards a Porous Channel: A Framework of the Casson Fluid Model

The effect of various parameters in the unsteady pulsating flow of radiative hydromagnetic Casson nanofluid through a porous channel is investigated. The governing equations were nondimensionalized by applying suitable transformations. The perturbation technique was employed to solve the resulting similarity equations. The velocity and temperature fields are illustrated for several pertinent flow parameters. The fluid velocity has been enhancing for higher values of the frequency parameter, Casson fluid parameter, nanoparticle volume fraction, and Darcy number. The reverse impact is observed for larger values of the Hartmann number. The result reveals that adding the nanoparticles has enhanced the heat transfer of the base fluid as the nanoparticles increase the heat conductivity. Furthermore, it is noticed that the temperature profile decreases rapidly for higher values of the cross Reynolds number and the radiation parameter. Finally, an excellent agreement between the current results and previous results is obtained by comparing with the available limiting results in the literature.

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The Effect of Shape Factor on the Magnetic Targeting in the Permeable Microvessel With Two-Phase Casson Fluid Model

Journal of Nanotechnology in Engineering and Medicine ◽

10.1115/1.4005675 ◽

2011 ◽

Vol 2 (4) ◽

Cited By ~ 5

Author(s):

Sachin Shaw ◽

P. V. S. N. Murthy

Keyword(s):

Magnetic Field ◽

Volume Fraction ◽

Fluid Model ◽

Casson Fluid ◽

Magnetic Drug Targeting ◽

Magnetic Targeting ◽

Two Phase ◽

Coupled Equations ◽

Casson Fluid Model ◽

Phase Fluid

The present investigation deals with magnetic drug targeting in a microvessel of radius 5 μm using two-phase fluid model. The microvessel is divided into the endothelial glycocalyx layer wherein the blood obeys Newtonian character and a core region wherein the blood obeys the non-Newtonian Casson fluid character. The carrier particles, bound with nanoparticles and drug molecules, are injected into the vascular system upstream from the malignant tissue and are captured at the tumor site using a local applied magnetic field near the tumor position. Brinkman model is used to characterize the permeable nature of the inner wall of the microvessel. The expressions for the fluidic force for the carrier particle traversing in the two-phase fluid in the microvessel and the magnetic force due to the external magnetic field are obtained. Several factors that influence the magnetic targeting of the carrier particles in the microvasculature, such as the size and shape of the carrier particle, the volume fraction of embedded magnetic nanoparticles, and the distance of separation of the magnet from the axis of the microvessel, are considered in the present problem. The system of coupled equations is solved to obtain the trajectories of the carrier particle in the noninvasive case.

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Radiation Absorption and Viscous-Dissipation on MHD Flow of Casson Fluid over a Vertical Plate Filled with Porous Layers

Diffusion Foundations ◽

10.4028/www.scientific.net/df.11.43 ◽

2017 ◽

Vol 11 ◽

pp. 43-56 ◽

Cited By ~ 3

Author(s):

S. Venkateswarlu ◽

S.V.K. Varma ◽

R.V.M.S.S. Kiran Kumar ◽

Chakravarthula S.K. Raju ◽

Putta Durga Prasad

Keyword(s):

Viscous Dissipation ◽

Fluid Model ◽

Perturbation Technique ◽

Infinite Plate ◽

Casson Fluid ◽

Radiation Absorption ◽

Transfer Coefficients ◽

Linear Ordinary Differential Equations ◽

Casson Fluid Model ◽

The Impact

The present study aims to analyze the radiation absorption and viscous dissipation effects on MHD free convective Casson fluid flow over a vertical permeable semi-infinite plate in the presence of first order homogeneous chemical reaction. The time-dependent wall suction is assumed to occur at the permeable surface. The non-Newtonian fluid behavior is characterized by using the Casson fluid model. The coupled non-linear ordinary differential equations (ODE’s) are solved by perturbation technique. The impact of sundry parameters on the velocity, temperature, species concentration as well as the friction factor coefficient, the rate of heat and mass transfer coefficients are computed and analyzed through graphs.

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Magneto-Convective Heat Transfer in Micropolar Nanofluid over a Stretching Sheet with Non-Uniform Heat Source/Sink

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.387.78 ◽

2018 ◽

Vol 387 ◽

pp. 78-90 ◽

Cited By ~ 5

Author(s):

T.S. Kumar ◽

B. Rushi Kumar ◽

Oluwole Daniel Makinde ◽

A.G. Vijaya Kumar

Keyword(s):

Boundary Layer ◽

Stretching Sheet ◽

Volume Fraction ◽

Fluid Velocity ◽

Temperature Fields ◽

Closed Form Solutions ◽

Flow Parameters ◽

Uniform Heat ◽

Micropolar Nanofluid ◽

Source Sink

The objective of investigation is to study the hydro-magnetic boundary layer micropolar nanofluid steady flow past a stretching sheet with a non-uniform heat suction/sink by taking into account of nanofluids containing Cu– water, TiO2–water, Al2O3–water, and Ag–water. As per the geometry of the flow configuration the conservation laws are transformed into a non-linear model. Using the appropriate analoguestransformations, the resultant equations are employing order approach along with shooting technique to derive closed form solutions for momentum, angular velocity, and temperature fields as well as couple stress, skin friction, local Nusselt number, and then to analyse and physical insight of various flow parameters on these fields. Also the numerical computations are performed and plotted through graphs and tables. It is found that the effect of volume fraction of nanoparticles on the fluid velocity, it decreases due to the absence of surface tension forces and hence, the momentum boundary layer thickness reduced. Furthermore, comparisons with published results are in very good agreement. Nomenclature

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Magnetohydrodynamics Boundary Layer Slip Casson Fluid Flow over a Dissipated Stretched Cylinder

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.393.73 ◽

2019 ◽

Vol 393 ◽

pp. 73-82 ◽

Cited By ~ 4

Author(s):

M. Krishna Murthy ◽

Chakravarthula S.K. Raju ◽

V. Nagendramma ◽

S.A. Shehzad ◽

Ali J. Chamkha

Keyword(s):

Boundary Layer ◽

Fluid Flow ◽

Skin Friction ◽

Fluid Model ◽

Fluid Velocity ◽

Casson Fluid ◽

Moving Cylinder ◽

Casson Fluid Model ◽

Mhd Boundary Layer ◽

The Impact

Magnetohydrodynamics (MHD) boundary layer slip Casson fluid flow over a dissipated moving cylinder is explored. Casson fluid model is employed as a non-Newtonian material that demonstrates the phenomenon of yield stress. Blood material is considered to be an example of Casson liquid. The non-linear partial differential quantities are transformed into expressions of ordinary derivatives through transformation of similarity variables. These equations are computed for numeric solutions by using Runge-Kutta method along with shooting scheme. The impact of pertinent constraints on the fluid velocity and temperature are examined through graphs. The coefficient of the skin friction and the rate of heat transfer are found numerically. Comparing of the present study with the earlier results is also presented. We observed that the coefficient of skin friction increases for higher values of Hartmann number.

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Mechanics of non-Newtonian blood flow in an artery having multiple stenosis and electroosmotic effects

Science Progress ◽

10.1177/00368504211031693 ◽

2021 ◽

Vol 104 (3) ◽

pp. 003685042110316

Author(s):

Salman Akhtar ◽

Luthais B McCash ◽

Sohail Nadeem ◽

Salman Saleem ◽

Alibek Issakhov

Keyword(s):

Blood Flow ◽

Flow Problem ◽

Fluid Model ◽

Casson Fluid ◽

Viscous Effects ◽

Heating Effects ◽

Casson Fluid Model ◽

Flow Through ◽

Mathematical Equations ◽

Mathematica Software

The electro-osmotically modulated hemodynamic across an artery with multiple stenosis is mathematically evaluated. The non-Newtonian behaviour of blood flow is tackled by utilizing Casson fluid model for this flow problem. The blood flow is confined in such arteries due to the presence of stenosis and this theoretical analysis provides the electro-osmotic effects for blood flow through such arteries. The mathematical equations that govern this flow problem are converted into their dimensionless form by using appropriate transformations and then exact mathematical computations are performed by utilizing Mathematica software. The range of the considered parameters is given as [Formula: see text]. The graphical results involve combine study of symmetric and non-symmetric structure for multiple stenosis. Joule heating effects are also incorporated in energy equation together with viscous effects. Streamlines are plotted for electro-kinetic parameter [Formula: see text] and flow rate [Formula: see text]. The trapping declines in size with incrementing [Formula: see text], for symmetric shape of stenosis. But the size of trapping increases for the non-symmetric case.

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Exact Solutions for Unsteady Free Convection Flow of Casson Fluid over an Oscillating Vertical Plate with Constant Wall Temperature

Abstract and Applied Analysis ◽

10.1155/2015/946350 ◽

2015 ◽

Vol 2015 ◽

pp. 1-8 ◽

Cited By ~ 9

Author(s):

Asma Khalid ◽

Ilyas Khan ◽

Sharidan Shafie

Keyword(s):

Differential Equations ◽

Exact Solutions ◽

Wall Temperature ◽

Vertical Plate ◽

Fluid Model ◽

Casson Fluid ◽

Convection Flow ◽

Constant Wall Temperature ◽

Transform Method ◽

Casson Fluid Model

The unsteady free flow of a Casson fluid past an oscillating vertical plate with constant wall temperature has been studied. The Casson fluid model is used to distinguish the non-Newtonian fluid behaviour. The governing partial differential equations corresponding to the momentum and energy equations are transformed into linear ordinary differential equations by using nondimensional variables. Laplace transform method is used to find the exact solutions of these equations. Expressions for shear stress in terms of skin friction and the rate of heat transfer in terms of Nusselt number are also obtained. Numerical results of velocity and temperature profiles with various values of embedded flow parameters are shown graphically and their effects are discussed in detail.

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Heatline and Massline Visualization of Hydromagnetic Double Diffusive Convective Flow of Nanofluid Within a Porous Trapezoidal Cavity

Journal of Nanofluids ◽

10.1166/jon.2021.1775 ◽

2021 ◽

Vol 10 (2) ◽

pp. 270-284

Author(s):

Bikash C. Saha ◽

T. R. Mahapatra ◽

Dulal Pal

Keyword(s):

Aspect Ratio ◽

Convective Flow ◽

Volume Fraction ◽

Solid Volume Fraction ◽

Darcy Number ◽

Temperature Fields ◽

Computational Domain ◽

Aspect Ratios ◽

Numerical Predictions ◽

Double Diffusive

Double diffusive convective flow of nanofluid within a porous trapezoidal cavity of various aspect ratios consisting of Al2O3 nanoparticle in the presence of applied magnetic field in the direction perpendicular to the parallel top and bottom walls is analysed. The side walls of the cavity are maintained at constant temperature and concentration while its horizontal walls are insulated and impermeable. The irregular physical domain of the problem is transformed to a regular unit square computational domain. The governing equations have been solved by second order of finite difference method (FDM). Based upon numerical predictions, the effects of pertinent parameters such as Rayleigh number, Darcy number, aspect ratio, solid volume fraction and inclination angle on the flow and temperature fields and the heat transfer performance of the enclosure are examined. It is found that the intensity of heat and mass transfer increases with the increase in the Darcy number and aspect ratio. It is also observed that as the solid volume fraction increases there is increase in the average Nusselt number but reverse effect is observed on the average Sherwood number.

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