Free convective flow of Hamilton-Crosser model gold-water nanofluid through a channel with permeable moving walls

2021 ◽  
Vol 24 ◽  
Author(s):  
Pradyuna Kuar Pattnaik ◽  
Munawwar Ali Abbas ◽  
Satyaranjan Mishra ◽  
Sami Ullah Khan ◽  
Muhammad Mubashir Bhatti
Keyword(s):  
Fluid Velocity ◽  
Middle Layer ◽  
Physical Parameters ◽  
Nanofluid Flow ◽  
Free Convective Flow ◽  
Shooting Technique ◽  
Permeable Walls ◽  
Flow Phenomena ◽  
Order Scheme ◽  
Flow Through

Background: The present manuscript analyses the influence of buoyant forces of a conducting time-dependent nanofluid flow through porous moving walls. The medium is also filled with porous materials. In addition to that, uniform heat source and absorption parameters are considered that affect the nanofluid model. Introduction: The model is based on the thermophysical properties of Hamilton-Crosser's nanofluid model, in which a gold nanoparticle is submerged into the base fluid water. Before simulation is obtained by a numerical method, suitable transformation is used to convert nonlinear coupled PDEs to ODEs. Method: Runge-Kutta fourth-order scheme is applied successfully for the first-order ODEs in conjunction with the shooting technique. Result: Computations for the coefficients of rate constants are presented through graphs, along with the behavior of several physical parameters augmented the flow phenomena. Conclusion: The present investigation may be compatible with the applications of biotechnology. It is seen that, inclusion of volume concentration the fluid velocity enhances near the middle layer of the channel and retards near the permeable walls. Also, augmented values of the Reynolds number and both cooling and heating of the wall increases the rate of shear stress.

Predictor homotopy analysis method for nanofluid flow through expanding or contracting gaps with permeable walls

2015 ◽  
Vol 08 (04) ◽  
pp. 1550050 ◽  
Author(s):  
Navid Freidoonimehr ◽  
Behnam Rostami ◽  
Mohammad Mehdi Rashidi
Keyword(s):  
Homotopy Analysis Method ◽  
Volume Fraction ◽  
Expansion Ratio ◽  
Analysis Method ◽  
Nanofluid Flow ◽  
Analytical Technique ◽  
Study Results ◽  
Permeable Walls ◽  
Homotopy Analysis ◽  
Flow Through

In this paper a definitely new analytical technique, predictor homotopy analysis method (PHAM), is employed to solve the problem of two-dimensional nanofluid flow through expanding or contracting gaps with permeable walls. Moreover, comparison of the PHAM results with numerical results obtained by the shooting method coupled with a Runge–Kutta integration method as well as previously published study results demonstrates high accuracy for this technique. The fluid in the channel is water containing different nanoparticles: silver, copper, copper oxide, titanium oxide, and aluminum oxide. The effects of the nanoparticle volume fraction, Reynolds number, wall expansion ratio, and different types of nanoparticles on the flow are discussed.

Pulsatile Blood Flow Through a Constricted Porous Artery

2020 ◽  
Vol 17 (2) ◽  
pp. 743-749
Author(s):  
Salah Uddin ◽  
Obaid Ullah Mehmood ◽  
Mahathir Mohamad ◽  
Mahmod Abd Hakim Mohmad ◽  
D. F. Jamil ◽  
...  
Keyword(s):  
Reynolds Number ◽  
Blood Flow ◽  
Flow Velocity ◽  
Nonlinear Differential Equations ◽  
Fluid Velocity ◽  
Volumetric Flow Rate ◽  
Physical Parameters ◽  
Porosity Parameter ◽  
Arterial Blood ◽  
Flow Through

In this paper a speculative study of an incompressible Newtonian blood flow through a constricted porous channel and pulsatile nature is inspected. Porosity parameter λ is incorporated in the momentum equation. Governing nonlinear differential equations are numerically evaluated by employing the perturbation method technique for a very small perturbation parameter ε 1 such that ε ≠ 0 and with conformable boundary conditions. Numerical results of the flow velocity profile and volumetric flow rate have been derived numerically and detailed graphical analysis for different physical parameters porosity, Reynolds number and stenosis has been presented. It is found that arterial blood velocity is dependent upon all of these factors and that the relationship of fluid velocity and flow is more complex and nonlinear than heretofore generally believe. Furthermore the flow velocity enhanced with Reynolds number, porosity parameter and at maximum position of the stenosis/constriction.

Oxytactic Microorganisms and Thermo-Bioconvection Nanofluid Flow Over a Porous Riga Plate with Darcy–Brinkman–Forchheimer Medium

2020 ◽  
Vol 45 (3) ◽  
pp. 257-268 ◽  
Author(s):  
Lijun Zhang ◽  
Muhammad Mubashir Bhatti ◽  
Rahmat Ellahi ◽  
Efstathios E. Michaelides
Keyword(s):  
Rayleigh Number ◽  
Fluid Velocity ◽  
Vertical Direction ◽  
Lewis Number ◽  
Nanofluid Flow ◽  
Electrically Conducting ◽  
Forchheimer Number ◽  
Riga Plate ◽  
Flow Through ◽  
Oxytactic Microorganisms

AbstractThe aim of this paper is to analyze the behavior of oxytactic microorganisms and thermo-bioconvection nanofluid flow through a Riga plate with a Darcy–Brinkman–Forchheimer porous medium. The Riga plate is composed of electrodes and magnets that are placed on a plane. The fluid is electrically conducting, and the Lorentz force evolves exponentially along the vertical direction. The governing equations are formulated with the help of dimensionless variables. With the aid of a shooting scheme, the numerical results are presented in graphs and tables. It is noted that the modified Hartmann number boosts the velocity profile when it is positive, but lowers these values when it is negative. The density-based Rayleigh number and the nanoparticle concentration enhance the fluid velocity. The thermal Rayleigh number and the Darcy–Forchheimer number decrease the velocity. An increase in Lewis number causes a remarkable decline in the oxytactic microorganism profile. Several useful results for these flows with oxytactic microorganisms through Darcy–Brinkman–Forchheimer porous media are presented in this paper.

Analytical approximation of heat and mass transfer in MHD non-Newtonian nanofluid flow over a stretching sheet with convective surface boundary conditions

2016 ◽  
Vol 10 (01) ◽  
pp. 1750008 ◽  
Author(s):  
Navid Freidoonimehr ◽  
Mohammad Mehdi Rashidi ◽  
Mohammad Hossein Momenpour ◽  
Saman Rashidi
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Stretching Sheet ◽  
Fluid Velocity ◽  
Physical Parameters ◽  
Surface Boundary ◽  
Nanofluid Flow ◽  
Convective Boundary ◽  
Special Cases ◽  
Number Formula

The paper provides an analytical investigation, homotopy analysis method (HAM), of the heat and mass transfer for magnetohydrodynamic Oldroyd-B nanofluid flow over a stretching sheet in the presence of convective boundary condition. The PDE governing equations, which consist of equations of continuity, momentum, energy and nanoparticles, are converted to ordinary differential equations using similarity transformations. The current HAM solution demonstrates very good correlation with those of the previously published studies in the special cases. The influences of different flow physical parameters such as the Deborah numbers in terms of relaxation and retardation times ([Formula: see text], [Formula: see text]), magnetic parameter (M), Prandtl number (Pr), Brownian motion parameter (Nb), thermophoresis parameter (Nt), Lewis number (Le), and Biot number (Bi) on the fluid velocity component [Formula: see text], temperature distribution [Formula: see text] and concentration [Formula: see text] as well as the local Nusselt number [Formula: see text] and the local Sherwood number [Formula: see text] are discussed in detail.

scholarly journals Heat and Mass transfer in MHD Nanofluid over a Stretching Surface along with Viscous Dissipation Effect

2020 ◽  
Vol 5 (2) ◽  
pp. 343-352
Author(s):  
K. Govardhan ◽  
G. Narender ◽  
G. Sreedhar Sarma
Keyword(s):  
Viscous Dissipation ◽  
Numerical Results ◽  
Physical Parameters ◽  
Stretching Surface ◽  
Nanofluid Flow ◽  
Shooting Technique ◽  
Dissipation Effect ◽  
Highly Nonlinear ◽  
Physical Quantities ◽  
Quantities Of Interest

A study of viscous dissipation effect of magnetohydrodynamic nanofluid flow passing over a stretched surface has been analyzed numerically. The formulated highly nonlinear equations for the above-mentioned flow are converted into first order ODEs. Utilizing the shooting technique along with the Adams-Bashforth Moulton Method is used to solve the BVP by using the computational software FORTRAN. The numerical results are computed by choosing different values of the involved physical parameters and compared with the earlier published results. The graphical numerical results of different physical quantities of interest are presented to analyze their dynamics under the varying physical quantities.

Outlining the impact of second-order slip and multiple convective condition on nanofluid flow: A new statistical layout

2018 ◽  
Vol 96 (1) ◽  
pp. 104-111 ◽  
Author(s):  
Nilankush Acharya ◽  
Kalidas Das ◽  
Prabir Kumar Kundu
Keyword(s):  
Second Order ◽  
Physical Parameters ◽  
Convective Condition ◽  
Nanofluid Flow ◽  
Shooting Technique ◽  
Slip Mechanism ◽  
Runge Kutta Method ◽  
Differential Flow ◽  
Flow Features ◽  
The Impact

An analysis exploring the influence of second-order slip mechanism on nanofluid flow passing over a permeable stretching surface is investigated. Additionally we have captured the flow features including the presence of realistic thermal and solutal boundary conditions. Applying the similarity transformation procedure leads us to convert the partial differential flow related equations into nonlinear ordinary ones. After that we solved them numerically using the fourth-order Runge–Kutta method in conjunction with the shooting technique. Parametric study has been performed through tables and diagrams to highlight the consequence of velocity, temperature, and concentration profile. Moreover, a statistical attempt is made to illustrate the correlation of physical parameters within the flow system.

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