scholarly journals Thermal Radiations and Mass Transfer Analysis of the Three-Dimensional Magnetite Carreau Fluid Flow Past a Horizontal Surface of Paraboloid of Revolution

Processes ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 656
Author(s):  
T. Abdeljawad ◽  
Asad Ullah ◽  
Hussam Alrabaiah ◽  
Ikramullah ◽  
Muhammad Ayaz ◽  
...  
Keyword(s):  
Mass Transfer ◽  
Shear Stress ◽  
Brownian Motion ◽  
Standard Procedure ◽  
Fluid Velocity ◽  
Nonlinear Pdes ◽  
Fluid Temperature ◽  
State Variables ◽  
Carreau Fluid ◽  
Grashof Number

The dynamics of the 3-dimensional flow of magnetized Carreau fluid past a paraboloid surface of revolution is studied through thermal radiation and mass transfer analysis. The impacts of Brownian motion and chemical reaction rate are considered on the flow dynamics. The system of nonlinear PDEs are converted to coupled ODEs by employing suitable transformation relations. The developed ODEs are solved by applying the standard procedure of homotopy analysis method (HAM). The impacts of various interesting parameters on the state variables of the Carreau fluid (velocity components, temperature, concentration, and shear stress) are explained through various graphs and tables. It is found that the horizontal velocity components augment with the rising magnetic parameter and Grashof number values. The fluid temperature augments with the higher values of the pertinent parameters except Prandtl number. The Nusselet number and fluid concentration enhance with the augmenting Brownian motion parameter. The shear stress augments with the rising Grashof number. The agreement of the obtained and published results validate the accuracy of the employed technique.

scholarly journals Non-Linear Thermal Radiations and Mass Transfer Analysis on the Processes of Magnetite Carreau Fluid Flowing Past a Permeable Stretching/Shrinking Surface under Cross Diffusion and Hall Effect

Coatings ◽  
2020 ◽  
Vol 10 (6) ◽  
pp. 523
Author(s):  
Asad Ullah ◽  
Abdul Hafeez ◽  
Wali Khan Mashwani ◽  
Ikramullah ◽  
Wiyada Kumam ◽  
...  
Keyword(s):  
Mass Transfer ◽  
Fluid Velocity ◽  
Concentration Field ◽  
Velocity Slip ◽  
Nonlinear Pdes ◽  
Complete Agreement ◽  
Carreau Fluid ◽  
Cross Diffusion ◽  
Parameter Values ◽  
Shrinking Surface

The flow of conducting Carreau fluid on a permeable stretching/shrinking surface is analytically investigated by considering the thermal radiation, mass transfer, and cross diffusion effects. A uniform external magnetic field is employed which gives rise to Hall current. The nonlinear PDEs are converted to a set of ODEs using similarity transformations. The developed ODEs are solved using the well established mathematical procedure of Homotopy Analysis Method (HAM). The influence of associated parameters over the state variables of the Carreau fluid are analytically studied and discussed through different graphs. It is found that fluid velocity augments (drops) with the rising power law index and Hall parameter (velocity slip and material parameters). The temperature field increases with the higher Dufour number and radiation parameter values, and decreases with larger Prandtl number. The concentration field augments with the larger Soret number and velocity slip parameter values whereas drops with the rising Schmidt number. The variations in skin friction, local Nusselt and Sherwood numbers are discussed using tables and it is noticed that the mass and heat energy transfer rates are controlled by the varying values of Dufour and Soret parameters. The comparison between present and published work shows complete agreement.

MHD Double Diffusive Natural Convection Flow Over Exponentially Accelerated Inclined Plate

2016 ◽  
Vol 33 (01) ◽  
pp. 87-99 ◽  
Author(s):  
G. S. Seth ◽  
R. Tripathi ◽  
R. Sharma ◽  
A. J. Chamkha
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Shear Stress ◽  
Fluid Velocity ◽  
Convection Flow ◽  
Fluid Temperature ◽  
Inclined Plate ◽  
Natural Convection Flow ◽  
Species Concentration ◽  
Double Diffusive

AbstractAn investigation of unsteady MHD double diffusive natural convection flow of a viscous, incompressible, electrically conducting, heat absorbing, radiating and chemically-reactive fluid past an exponentially accelerated moving inclined plate in a fluid-saturated porous medium, when the temperature of the plate and the concentration at the surface of the plate have ramped profiles, is carried out. Exact solutions for the fluid velocity, fluid temperature and the species concentration, under Boussinesq approximation, are obtained in closed form by the Laplace transform technique. The expressions for the shear stress, rate of heat transfer and the rate of mass transfer at the plate are also derived. Numerical evaluations of the fluid velocity, fluid temperature and the species concentration are performed and displayed graphically whereas those of the shear stress, rate of heat transfer and the rate of mass transfer at the plate are presented in tabular form for various values of the pertinent flow parameters.

scholarly journals On the Analysis of the Non-Newtonian Fluid Flow Past a Stretching/Shrinking Permeable Surface with Heat and Mass Transfer

Coatings ◽  
2021 ◽  
Vol 11 (5) ◽  
pp. 566
Author(s):  
Shahid Khan ◽  
Mahmoud M. Selim ◽  
Aziz Khan ◽  
Asad Ullah ◽  
Thabet Abdeljawad ◽  
...  
Keyword(s):  
Mass Transfer ◽  
Fluid Flow ◽  
Differential Equations ◽  
Analytical Procedure ◽  
Fluid Velocity ◽  
Weissenberg Number ◽  
Shrinking Sheet ◽  
Fluid Temperature ◽  
Carreau Fluid ◽  
Similarity Relations

The 3D Carreau fluid flow through a porous and stretching (shrinking) sheet is examined analytically by taking into account the effects of mass transfer, thermal radiation, and Hall current. The model equations, which consist of coupled partial differential equations (PDEs), are simplified to ordinary differential equations (ODEs) through appropriate similarity relations. The analytical procedure of HAM (homotopy analysis method) is employed to solve the coupled set of ODEs. The functional dependence of the hydromagnetic 3D Carreau fluid flow on the pertinent parameters are displayed through various plots. It is found that the x-component of velocity gradient (f′(η)) enhances with the higher values of the Hall and shrinking parameters (m,ϱ), while it reduces with magnetic parameter and Weissenberg number (M,We). The y-component of fluid velocity (g(η)) rises with the augmenting values of m and M, while it drops with the augmenting viscous nature of the Carreau fluid associated with the varying Weissenberg number. The fluid temperature θ(η) enhances with the increasing values of radiation parameter (Rd) and Dufour number (Du), while it drops with the rising Prandtl number (Pr). The concentration field (ϕ(η)) augments with the rising Soret number (Sr) while drops with the augmenting Schmidt number (Sc). The variation of the skin friction coefficients (Cfx and Cfz), Nusselt number (Nux) and Sherwood number (Shx) with changing values of these governing parameters are described through different tables. The present and previous published results agreement validates the applied analytical procedure.

MHD Double Diffusive Natural Convection Flow Over Exponentially Accelerated Inclined Plate

2016 ◽  
Vol 33 (1) ◽  
pp. 87-99 ◽  
Author(s):  
G. S. Seth ◽  
R. Tripathi ◽  
R. Sharma ◽  
A. J. Chamkha
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Shear Stress ◽  
Fluid Velocity ◽  
Convection Flow ◽  
Fluid Temperature ◽  
Inclined Plate ◽  
Natural Convection Flow ◽  
Species Concentration ◽  
Double Diffusive

AbstractAn investigation of unsteady MHD double diffusive natural convection flow of a viscous, incompressible, electrically conducting, heat absorbing, radiating and chemically-reactive fluid past an exponentially accelerated moving inclined plate in a fluid-saturated porous medium, when the temperature of the plate and the concentration at the surface of the plate have ramped profiles, is carried out. Exact solutions for the fluid velocity, fluid temperature and the species concentration, under Boussinesq approximation, are obtained in closed form by the Laplace transform technique. The expressions for the shear stress, rate of heat transfer and the rate of mass transfer at the plate are also derived. Numerical evaluations of the fluid velocity, fluid temperature and the species concentration are performed and displayed graphically whereas those of the shear stress, rate of heat transfer and the rate of mass transfer at the plate are presented in tabular form for various values of the pertinent flow parameters.

scholarly journals An Analytical Approach to Study the Blood Flow over a Nonlinear Tapering Stenosed Artery in Flow of Carreau Fluid Model

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Riaz Ahmad ◽  
Asma Farooqi ◽  
Rashada Farooqi ◽  
Nawaf N. Hamadneh ◽  
Md Fayz-Al-Asad ◽  
...  
Keyword(s):  
Blood Flow ◽  
Shear Stress ◽  
Analytical Approach ◽  
Fluid Model ◽  
Perturbation Technique ◽  
Fluid Velocity ◽  
Weissenberg Number ◽  
Carreau Fluid ◽  
Regular Perturbation ◽  
Stenosed Artery

The current study provides an analytical approach to analyze the blood flow through a stenosed artery by using the Carreau fluid model. The flow governing equations are derived under the consideration of mild stenosis. Mathematical analysis has been carried out by considering the blood as non-Newtonian nature. Then, the analytical solution has been investigated by using the regular perturbation technique. The solutions obtained by this perturbation are up to the second-order in dimensionless Weissenberg number We . The performed computations of various parameter values such as velocity, wall shear stress, shear stress, and resistance impedance at the stenotic throat are discussed in detail for different values of Weissenberg number We . The obtained results demonstrate that for shear-thinning fluid, the fluid velocity increases with the increasing parameter m while opposite behavior is observed with the increase in We . Hence, the presented numerical analysis reveals many aspects of the flow by considering the blood as a non-Newtonian Carreau fluid model, and the presented model can be equally applicable to other bio-mathematical studies.

Thermophoretic and Nonlinear Convection in Non-Darcy Porous Medium

2014 ◽  
Vol 136 (4) ◽  
Author(s):  
P. K. Kameswaran ◽  
P. Sibanda ◽  
M. K. Partha ◽  
P. V. S. N. Murthy
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Heat And Mass Transfer ◽  
Fluid Velocity ◽  
Solute Concentration ◽  
Fluid Temperature ◽  
Nonlinear Convection ◽  
Transfer Rates ◽  
Special Cases ◽  
Layer Flow

In this paper, we study the effects of nonlinear convection and thermophoresis in steady boundary layer flow over a vertical impermeable wall in a non-Darcy porous medium. Both the fluid temperature and the solute concentration are assumed to be nonlinear while at the wall, both the temperature and concentration are maintained at a constant value. A similarity transformation was used to obtain a system of nonlinear ordinary differential equations, which were then solved numerically using the Matlab bvp4c solver. A comparison of the numerical results with previously published results for special cases shows a good agreement. The effects of the nonlinear temperature and concentration parameters on the velocity and heat and mass transfer are shown graphically. A representative sample of the results is presented showing the effects of thermophoresis on the fluid velocity and heat and mass transfer rates. It is found among other results, that the concentration profiles decreased with increasing values of the thermophoretic parameter.

scholarly journals Flow of non-Newtonian fluid through a permeable artery having non-uniform cross section with multiple stenosis

2020 ◽  
Vol 17 (1) ◽  
pp. 31-38
Author(s):  
K. Maruthi Prasad ◽  
Prabhaker Reddy Yasa
Keyword(s):  
Shear Stress ◽  
Brownian Motion ◽  
Cross Section ◽  
Flow Characteristics ◽  
Motion Parameter ◽  
Grashof Number ◽  
Permeability Constant ◽  
Coupled Equations ◽  
Uniform Cross Section ◽  
Brownian Motion Parameter

In this paper, the effect of slip on Micropolar fluid in a circular tube of non-uniform cross-section with multiple stenosis have been studied. The coupled equations governing to the flow are calculated by using Homotopy Perturbation Method. The effects of various parameters with heights of the stenosis on the resistance to the flow and wall shear stress have been studied by deriving the expressions for the flow characteristics and their solutions have been obtained. It is found that the resistance to the flow increases with the heights of the stenosis, inclination, Thermophoresis parameter, local temperature Grashof number, local nanoparticle Grashof number, inclination and permeability constant and decreases with Brownian motion parameter. It is found that the shear stress at the wall increases with heights of the stenosis, Brownian motion parameter but decreases with local nanoparticle Grashof number, Thermophoresis parameter and permeability constant. Also, it is observed that the volume of the bolus increases with the increase of permeability constant.

scholarly journals MHD Williamson Nanofluid Flow over a Slender Elastic Sheet of Irregular Thickness in the Presence of Bioconvection

Nanomaterials ◽  
2021 ◽  
Vol 11 (9) ◽  
pp. 2297
Author(s):  
Fuzhang Wang ◽  
Muhammad Imran Asjad ◽  
Saif Ur Rehman ◽  
Bagh Ali ◽  
Sajjad Hussain ◽  
...  
Keyword(s):  
Brownian Motion ◽  
Differential Equations ◽  
Variable Viscosity ◽  
Fluid Velocity ◽  
Lewis Number ◽  
Computational Procedure ◽  
Fluid Temperature ◽  
Nanofluid Flow ◽  
Runge Kutta Method ◽  
Fifth Order

Bioconvection phenomena for MHD Williamson nanofluid flow over an extending sheet of irregular thickness are investigated theoretically, and non-uniform viscosity and thermal conductivity depending on temperature are taken into account. The magnetic field of uniform strength creates a magnetohydrodynamics effect. The basic formulation of the model developed in partial differential equations which are later transmuted into ordinary differential equations by employing similarity variables. To elucidate the influences of controlling parameters on dependent quantities of physical significance, a computational procedure based on the Runge–Kutta method along shooting technique is coded in MATLAB platform. This is a widely used procedure for the solution of such problems because it is efficient with fifth-order accuracy and cost-effectiveness. The enumeration of the results reveals that Williamson fluid parameter λ, variable viscosity parameter Λμ and wall thickness parameter ς impart reciprocally decreasing effect on fluid velocity whereas these parameters directly enhance the fluid temperature. The fluid temperature is also improved with Brownian motion parameter Nb and thermophoresis parameter Nt. The boosted value of Brownian motion Nb and Lewis number Le reduce the concentration of nanoparticles. The higher inputs of Peclet number Pe and bioconvection Lewis number Lb decline the bioconvection distribution. The velocity of non-Newtonian (Williamson nanofluid) is less than the viscous nanofluid but temperature behaves oppositely.

scholarly journals Non-linear MHD convective flow of Carreau nanofluid over an exponentially stretching surface with activation energy and viscous dissipation

2021 ◽  
Vol 3 (3) ◽  
Author(s):  
K. S. Srinivasa Babu ◽  
A. Parandhama ◽  
R. Bhuvana Vijaya
Keyword(s):  
Activation Energy ◽  
Brownian Motion ◽  
Viscous Dissipation ◽  
Fluid Velocity ◽  
Fluid Temperature ◽  
Stretching Surface ◽  
And Brownian Motion ◽  
Non Linear ◽  
Carreau Nanofluid ◽  
Increasing Function

AbstractNumerical approach for a non-linear mixed convective magnetohydrodynamic two-dimensional Carreau nanofluid through an exponentially permeable stretching surface with viscous dissipation and velocity slip under the influence of Arrhenius activation energy in chemical reaction is reported. The effects of thermophoresis and Brownian motion are considered. The governing nonlinear equations of this model are transmuted into ODE’s through similarity variables and solved them with a shooting method based on R-K 4th order. Responses of fluid velocity, transfer rates (heat and mass) versus pertinent parameters of the problem for suitable values are obtained and the computational calculations for friction coefficient, Nusselt number and Sherwood number for the both suction and injections regions are presented in plots and tables. It is found that fluid velocity is an increasing function of Weissenberg number. Momentum boundary layer thickness is depressed by magnetic field impact. Increasing trend in Carreau fluid temperature is noticed due to larger values of thermophoresis and Brownian motion effects. Concentration field is a decreasing function of Brownian motion but an increasing function of thermophoresis. Activation energy augments the concentration curves and lowered by Schmidt number. Comparison of the results is made with already published results and we got good agreement.

scholarly journals Mathematical Modelling on an Electrically Conducting Fluid Flow in an Inclined Permeable Tube with Multiple Stenoses

2019 ◽  
Vol 9 (1) ◽  
pp. 3915-3921
Keyword(s):  
Shear Stress ◽  
Brownian Motion ◽  
Fluid Flow ◽  
Magnetic Parameter ◽  
Conducting Fluid ◽  
Grashof Number ◽  
Electrically Conducting ◽  
Permeability Constant ◽  
Coupled Equations ◽  
Electrically Conducting Fluid

The effect of electrically conducting fluid flow in an inclined tube with permeable walls and having multiple stenosis through porous medium was studied. The Homotopy Perturbation Method is used to calculate the phenomena of Nanoparticle and temperature of the coupled equations. The solutions have been analyzed on the basis of pressure drop, resistance to the flow and wall shear stress. It is identified that the heights of the stenosis, Thermophoresis parameter, local temperature Grashof number, local nanoparticle Grashof number, Magnetic parameter increases with the resistance to the flow and Brownian motion number, permeability constant decreases with resistance to the flow. It is remarkable that, the resistance to the flow is found increasing for the values of inclination and decreases for the values of . The observation also notes that, the shear stress at the wall is found increasing with the height of the stenosis, Inclination, Thermophoresis parameter, local nanoparticle Grashof number and Permeability constant, but found decreasing with Brownian motion parameter and Magnetic Parameter

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