Numerical treatment for Darcy–Forchheimer flow of nanofluid due to a rotating disk with slip effects

2019 ◽  
Vol 97 (8) ◽  
pp. 856-863 ◽  
Author(s):  
Syed Muhammad Raza Shah Naqvi ◽  
Taseer Muhammad ◽  
Hyun Min Kim ◽  
Tariq Mahmood ◽  
Adnan Saeed ◽  
...  
Keyword(s):  
Mass Transfer ◽  
Brownian Motion ◽  
Three Dimensional ◽  
Rotating Disk ◽  
Numerical Treatment ◽  
Slip Conditions ◽  
Nusselt Numbers ◽  
Slip Effects ◽  
Influential Parameters ◽  
Forchheimer Flow

Three-dimensional Darcy–Forchheimer flow of nanoliquid due to a rotating disk subject to multiple slip conditions is examined in this study. Thermophoresis and Brownian motion along with heat and mass transfer are incorporated. Slip conditions of velocity, concentration, and temperature are executed. Similarity results are established via MATLAB routine bvp4c. Graphs of velocities, temperature, and concentration are sketched to discuss the impacts of several influential parameters. Numerical values of skin frictions and local Sherwood and Nusselt numbers are calculated and inspected. Our findings display that concentration and temperature are enhanced for larger thermophoresis parameter.

Unsteady convective heat and mass transfer of a nanofluid in Howarth’s stagnation point by Buongiorno’s model

2015 ◽  
Vol 25 (5) ◽  
pp. 1176-1197 ◽  
Author(s):  
Saeed Dinarvand ◽  
Reza Hosseini ◽  
Ioan Pop
Keyword(s):  
Mass Transfer ◽  
Nusselt Number ◽  
Brownian Motion ◽  
Heat And Mass Transfer ◽  
Stagnation Point ◽  
Three Dimensional ◽  
Stagnation Point Flow ◽  
Content Type ◽  
Buongiorno’S Model ◽  
Brownian Motion And Thermophoresis

Purpose – The purpose of this paper is to do a comprehensive study on the unsteady general three-dimensional stagnation-point flow and heat transfer of a nanofluid by Buongiorno’s model. Design/methodology/approach – In this study, the convective transport equations include the effects of Brownian motion and thermophoresis. By introducing new similarity transformations for velocity, temperature and nanoparticle volume fraction, the basic equations governing the flow, heat and mass transfer are reduced into highly non-linear ordinary differential equations. The resulting non-linear system has been solved both analytically and numerically. Findings – The analysis shows that velocity, temperature and nanoparticle concentration profiles in the respective boundary layers depend on five parameters, namely unsteadiness parameter A, Brownian motion parameter Nb, thermophoresis parameter Nt, Prandtl number Pr and Lewis number Le. It is found that the thermal boundary layer thickens with a rise in both of the Brownian motion and the thermophoresis effects. Therefore, similar to the earlier reported results, the Nusselt number decreases as the Brownian motion and thermophoresis effects become stronger. A correlation for the Nusselt number has been developed based on a regression analysis of the data. This correlation predicts the numerical results with a maximum error of 9 percent for a usual domain of the physical parameters. Originality/value – The stagnation point flow toward a wavy cylinder (with nodal and saddle stagnation points) that a little attention has been given to it up to now. The examination of unsteadiness effect on the general three-dimensional stagnation-point flow. The application of an interesting and global model (Boungiorno’s model) for the nanofluid that incorporates the effects of Brownian motion and thermophoresis. The study of the effects of Brownian motion and thermophoresis on the nanofluid flow, heat and mass transfer characteristics. The prediction of correlation for the Nusselt number based on a regression analysis of the data. General speaking, we can tell the problem with this geometry, characteristics, the applied model, and comprehensive results, was Not studied and analyzed in literature up to now.

Numerical study of nanofluid flow and heat transfer over a rotating disk using Buongiorno’s model

2017 ◽  
Vol 27 (1) ◽  
pp. 221-234 ◽  
Author(s):  
Junaid Ahmad Khan ◽  
M. Mustafa ◽  
T. Hayat ◽  
Mustafa Turkyilmazoglu ◽  
A. Alsaedi
Keyword(s):  
Brownian Motion ◽  
Volume Fraction ◽  
Numerical Study ◽  
Mathematical Formulation ◽  
Three Dimensional ◽  
Vertical Direction ◽  
Rotating Disk ◽  
Content Type ◽  
Buongiorno’S Model ◽  
Buongiorno Model

Purpose The purpose of the present study is to explore a three-dimensional rotating flow of water-based nanofluids caused by an infinite rotating disk. Design/methodology/approach Mathematical formulation is performed using the well-known Buongiorno model which accounts for the combined influence of Brownian motion and thermophoresis. The recently suggested condition of passively controlled wall nanoparticle volume fraction has been adopted. Findings The results reveal that temperature decreases with an increase in thermophoresis parameter, whereas it is negligibly affected with a variation in the Brownian motion parameter. Axial velocity is negative because of the downward flow in the vertical direction. Originality/value Two- and three-dimensional streamlines are also sketched and discussed. The computations are found to be in very good agreement with the those of existing studies in the literature for pure fluid.

scholarly journals Brownian Motion and Thermophoresis Effects on MHD Three Dimensional Nanofluid Flow with Slip Conditions and Joule Dissipation Due to Porous Rotating Disk

Molecules ◽  
2020 ◽  
Vol 25 (3) ◽  
pp. 729 ◽  
Author(s):  
Nasser Aedh Alreshidi ◽  
Zahir Shah ◽  
Abdullah Dawar ◽  
Poom Kumam ◽  
Meshal Shutaywi ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Velocity Slip ◽  
Rotating Disk ◽  
Physical Parameters ◽  
Fluid Temperature ◽  
Rotating Disc ◽  
Nanofluid Flow ◽  
Slip Conditions ◽  
Fluid Velocities ◽  
Fluid Concentration

This paper examines the time independent and incompressible flow of magnetohydrodynamic (MHD) nanofluid through a porous rotating disc with velocity slip conditions. The mass and heat transmission with viscous dissipation is scrutinized. The proposed partial differential equations (PDEs) are converted to ordinary differential equation (ODEs) by mean of similarity variables. Analytical and numerical approaches are applied to examine the modeled problem and compared each other, which verify the validation of both approaches. The variation in the nanofluid flow due to physical parameters is revealed through graphs. It is witnessed that the fluid velocities decrease with the escalation in magnetic, velocity slip, and porosity parameters. The fluid temperature escalates with heightening in the Prandtl number, while other parameters have opposite impacts. The fluid concentration augments with the intensification in the thermophoresis parameter. The validity of the proposed model is presented through Tables.

scholarly journals Similarity Solution of Flow, Heat and Mass Transfer of a Nanofluid Over a Porous Plate in a Darcy-Forchheimer Flow

2019 ◽  
pp. 1-14
Author(s):  
A. Falana ◽  
A. Alao Ahmed
Keyword(s):  
Mass Transfer ◽  
Nusselt Number ◽  
Brownian Motion ◽  
Heat And Mass Transfer ◽  
Sherwood Number ◽  
Similarity Solution ◽  
Porous Plate ◽  
Lewis Number ◽  
Flow Heat ◽  
Forchheimer Flow

In this work, a similarity solution of the flow, heat and mass transfer of a nanofluid over a porous plate in a Darcy-Forchheimer flow is explored. The nanofluid model includes Brownian motion and Thermophoresis diffusion effects. The governing transport equations are made dimensionless using similarity transformation technique which reduce them into ordinary differential equations with the associated boundary conditions. The equations are then solved numerically using the classical fourth order Runge-Kutta method and the results are benched marked with available results in literature and are found to be in good agreement. The results for the flow velocity, the shear stress, the temperature distribution, the nanoparticle volume concentration, the skin friction coefficient, the reduced Nusselt number, and the reduced Sherwood number, are presented graphically illustrating the effects of permeability, inertia, thermophoresis, Brownian motion, Lewis number and Prandtl number on the flow. Our analysis shows, among others, that the Nusselt number is a decreasing function, while the Sherwood number is an increasing function of the thermophoretic number

CFD Simulation of Mass Transfer around Spherical Particles in Fluidized Bed

2011 ◽  
Vol 9 (1) ◽  
Author(s):  
Zoha Vatani ◽  
Majid Taghizadeh ◽  
Reza Orouj
Keyword(s):  
Mass Transfer ◽  
Fluidized Bed ◽  
Cfd Simulation ◽  
Three Dimensional ◽  
Spherical Particles ◽  
Vapor Concentration ◽  
Transfer Coefficients ◽  
Air Velocity ◽  
Nusselt Numbers ◽  
Wet Particles

In this study, the mass transfer of three-dimensional nonreactive gas-solid fluidized bed was investigated computationally. The influence of the inlet gas velocity and temperature on mass transfer of air to wet particles was analyzed. The simulation results indicated that the mass transfer coefficients of air to spherical sand particles was decreased from 2.12 to 1.66 m/s with increment of temperature from 300 to 360 K. Sherwood numbers of gas to cluster increased with the increase of inlet air velocity. CFD model of the gas-particle heat transfer have been implemented, the result showed that the heat flux of gas to particles increased with the increase of Reynolds number. Distributions of water vapor concentration and velocity in this bed were numerically predicted and the computed Sherwood and Nusselt numbers were compared with the estimated values from empirical equations.

scholarly journals Numerical treatment with Lobatto IIIA technique for radiative flow of MHD hybrid nanofluid (Al2O3—Cu/H2O) over a convectively heated stretchable rotating disk with velocity slip effects

AIP Advances ◽  
2020 ◽  
Vol 10 (5) ◽  
pp. 055122 ◽  
Author(s):  
Chun Ouyang ◽  
Rizwan Akhtar ◽  
Muhammad Asif Zahoor Raja ◽  
Muhammad Touseef Sabir ◽  
Muhammad Awais ◽  
...  
Keyword(s):  
Velocity Slip ◽  
Rotating Disk ◽  
Hybrid Nanofluid ◽  
Numerical Treatment ◽  
Slip Effects

scholarly journals Two-phase nanofluid over rotating disk with exponential variable thickness

2019 ◽  
Vol 29 (10) ◽  
pp. 3781-3794 ◽  
Author(s):  
Chunyan Liu ◽  
Yiming Ding ◽  
Liancun Zheng ◽  
Ping Lin ◽  
Ruilin Li
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Brownian Motion ◽  
Variable Thickness ◽  
Rotating Disk ◽  
Content Type ◽  
Flow Heat ◽  
Exponential Variable ◽  
Thickness Parameter ◽  
Brownian Motion Parameter

Purpose The purpose of this paper is to investigate the effect of nanofluid over rotating disk with the exponential variable thickness Z=ce−bRR0 (c > 0, b > 0) and to analyze Brownian motion and thermophoresis of Buongiorno model on the disk embedded in nanofluid-saturated porous media. Design/methodology/approach Using the generalized von Karman transformation, the boundary layer governing equations are transformed into semi-similar forms solved by bvp4c in MATLAB. Findings The effects of the thickness parameter a, the shape parameter b, the Brownian motion parameter Nb and thermophoresis parameter Nt on flow, heat and mass transfer are analyzed. With the increase of thickness parameter a, the radial velocity first decreases and then increases, showing the opposite trend on the two sides of the peak value. Moreover, temperature and concentration rise as the Brownian motion parameter Nb becomes larger. Originality/value To the best of the authors’ knowledge, this is the first work that has been done on rotating disk with exponential variable thickness in nanofluid. The impact of the two slip effects, namely, Brownian motion and thermophoresis, on the nanofluid boundary layer flow, heat and mass transfer because of rotating disk with exponential variable thickness Z=ce−bRR0 (c > 0, b > 0) has been addressed in this study.

Radiative Three-Dimensional Flow with Chemical Reaction

2016 ◽  
Vol 14 (1) ◽  
pp. 79-91 ◽  
Author(s):  
Tasawar Hayat ◽  
Taseer Muhammad ◽  
Sabir Ali Shehzad ◽  
Ahmed Alsaedi ◽  
Falleh Al-Solamy
Keyword(s):  
Boundary Layer ◽  
Brownian Motion ◽  
Chemical Reaction ◽  
Three Dimensional ◽  
Concentration Field ◽  
Lewis Number ◽  
Magnetic Reynolds Number ◽  
Dimensional Boundary ◽  
Layer Flow ◽  
Influential Parameters

AbstractWe discuss the three-dimensional boundary layer flow of Maxwell nanofluid in the present article. The flow is caused due to bidirectional stretching surface. An applied magnetic field is taken into account. Heat and mass transfer characteristics are considered in the presence of thermal radiation, Brownian motion, thermophoresis and chemical reaction effects. Mathematical modelling is made under a low magnetic Reynolds number and Rosseland’s approximation. Expressions of series solutions for velocities, temperature and concentration are developed. Impacts of influential parameters on the temperature and concentration are sketched and examined. Numerical values of local Nusselt and Sherwood numbers are computed and analyzed. We found that an increase in thermophoresis and Brownian motion parameters enhanced the temperature field and thermal boundary layer thickness. The concentration field reduced gradually when we enhance the values of Lewis number and chemical reaction parameter. The values of local Nusselt number are higher for a larger radiation parameter.

Spectral Simulation to Investigate the Effects of Active Passive Controls of Nanoparticles on the Radiative Nanofluidic Transport Over a Spinning Disk

2020 ◽  
Vol 13 (3) ◽  
Author(s):  
Nilankush Acharya
Keyword(s):  
Brownian Motion ◽  
Mass Transport ◽  
Three Dimensional ◽  
Velocity Slip ◽  
Rotating Disk ◽  
Thermal Slip ◽  
Slip Parameter ◽  
Spectral Simulation ◽  
Discussion Section ◽  
Passive Flow

Abstract The present investigation deals with the flow dynamics and heat transport of the nanofluid flow over a rotating disk. The flow is considered to be laminar and steady. Active–passive controls of tiny nanoparticles influenced by the Brownian motion and thermophoretic migration are included to reveal the variations in the hydrothermal behaviour. Thermal radiation, velocity slip, and thermal slip are also introduced to model the flow. The foremost governing equations are converted into its dimensionless form after applying the requisite similarity transformation. The spectral quasi-linearization method (SQLM) has been employed to extract the numeric outcomes of the flow. Effects of the underlying parameters on the flow and heat-mass transport are revealed through graphs and tables. Several three-dimensional (3D) and streamlines plots are depicted to enrich the Result and Discussion section. Results assured that the velocities in every direction reduce for velocity slip parameter and magnetic parameter. Temperature increases for thermophoresis and Brownian motion, but reduces for velocity and thermal slip parameter. Active flow reveals high temperature than passive flow. The Brownian motion and thermophoresis provide dual scenario for concentration profile. Heat and mass transport always sustain high magnitude for passive flow.

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