Influences of Zero Mass Flux and Active Conditions on the Predictions of Double Dispersion and Double Diffusive Boundary Layer in Darcy/Non Darcy Nanofluid Flow

2021 ◽  
Vol 57 ◽  
pp. 49-65
Author(s):  
Amina Manel Bouaziz ◽  
M.N. Bouaziz ◽  
A. Aziz
Keyword(s):  
Porous Medium ◽  
Mass Flux ◽  
Transfer Rate ◽  
Volume Fraction ◽  
Mass Transfer Rate ◽  
Flow In Porous Media ◽  
Nanofluid Flow ◽  
Realistic Condition ◽  
Zero Mass ◽  
Flux Condition

Free convective of nanofluid inside dispersive porous medium adjacent to a vertical plate under the effects of the zero mass nanoparticles flux condition and the thermal and solutal dispersions is studied. Buongiorno's model revised is used considering Darcy and non Darcy laminar flows, and isothermal or convective flux outer the wall. Dimensionless governing equations formulated using velocity, temperature, concentration and nanoparticle volume fraction have been solved by finite difference method that implements the 3-stage Lobatto collocation formula. The numerical data obtained with semi or full dispersions cases are compared to predictions made using the non dispersive porous medium. Taking into account the dispersions, the influence of the zero mass nanoparticles flux condition is examined to test the validity of the control active nanoparticle assumption. It is found mainly that the thermal transfers can reach more than 100% in connection with the case where of a semi-dispersion of the porous medium is applied. Realistic condition, i.e. zero mass flux should be addressed for the heat transfer rate rather than the mass transfer rate, discovered markedly different to the active condition. This signifies the importance of considering the zero nanoparticles mass flux and dispersions in the performance characterization of nanofluid flow in porous media.

scholarly journals Statistical modeling for bioconvective tangent hyperbolic nanofluid towards stretching surface with zero mass flux condition

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Anum Shafiq ◽  
S. A. Lone ◽  
Tabassum Naz Sindhu ◽  
Q. M. Al-Mdallal ◽  
G. Rasool
Keyword(s):  
Differential Equation ◽  
Mass Transfer ◽  
Mass Flux ◽  
Transfer Rate ◽  
Local Density ◽  
Mass Transfer Rate ◽  
Weibull Model ◽  
Data Set ◽  
Zero Mass ◽  
Flux Condition

AbstractThis article presents the implementation of a numerical solution of bioconvective nanofluid flow. The boundary layer flow (BLF) towards a vertical exponentially stretching plate with combination of heat and mass transfer rate in tangent hyperbolic nanofluid containing microorganisms. We have introduced zero mass flux condition to achieve physically realistic outcomes. Analysis is conducted with magnetic field phenomenon. By using similarity variables, the partial differential equation which governs the said model was converted into a nonlinear ordinary differential equation, and numerical results are achieved by applying the shooting technique. The paper describes and addresses all numerical outcomes, such as for the Skin friction coefficients (SFC), local density of motile microorganisams (LDMM) and the local number Nusselt (LNN). Furthermore, the effects of the buoyancy force number, bioconvection Lewis parameter, bioconvection Rayleigh number, bioconvection Pecelt parameter, thermophoresis and Brownian motion are discussed. The outcomes of the study ensure that the stretched surface has a unique solution: as Nr (Lb) and Rb (Pe) increase, the drag force (mass transfer rate) increases respectively. Furthermore, for least values of Nb and all the values of Nt under consideration the rate of heat transfer upsurges. The data of SFC, LNN, and LDMM have been tested utilizing various statistical models, and it is noted that data sets for SFC and LDMM fit the Weibull model for different values of Nr and Lb respectively. On the other hand, Frechet distribution fits well for LNN data set for various values of Nt.

Thermal analysis of higher-order chemical reactive viscoelastic nanofluids flow in porous media via stretching surface

2021 ◽  
pp. 095440622110084
Author(s):  
Mohamed R Eid ◽  
F Mabood
Keyword(s):  
Brownian Motion ◽  
Transfer Rate ◽  
Fluid Velocity ◽  
Mass Transfer Rate ◽  
Higher Order ◽  
Flow In Porous Media ◽  
Viscoelastic Parameter ◽  
Suction Parameter ◽  
And Brownian Motion ◽  
Magnetic Strength

The essence of the present investigation is to reveal the hydrothermal variations of viscoelastic nanofluid flow in a porous medium over a stretchable surface. A higher-order chemical reaction is incorporated with thermophoresis and Brownian motion. Similarity conversions reduce the resulting equations into their dimensionless form and then solved using Runge-Kutta-Fehlberg (RKF) based shooting procedure. The effects of underlying factors on the flow are discussed through various graphs and tables. Computational results for noteworthy skin friction and heat and mass transport are presented and reviewed with sensible judgment. The study reveals that the fluid velocity reduces with incremental values of the viscoelastic parameter [Formula: see text] and magnetic strength. The temperature reduces for the suction parameter with the existence of stretchable but enhances with thermophoresis and Brownian motion effects. Heat transfer rate amplifies for [Formula: see text] but declines for [Formula: see text]. Mass transfer rate increases with the increase in Brownian parameter and Schmidt number. A comparative analysis shows a better agreement with previous results in limiting scenarios.

scholarly journals MHD Slip Flow of Casson Fluid along a Nonlinear Permeable Stretching Cylinder Saturated in a Porous Medium with Chemical Reaction, Viscous Dissipation, and Heat Generation/Absorption

Symmetry ◽  
2019 ◽  
Vol 11 (4) ◽  
pp. 531 ◽  
Author(s):  
Ullah ◽  
Abdullah Alkanhal ◽  
Shafie ◽  
Nisar ◽  
Khan ◽  
...  
Keyword(s):  
Porous Medium ◽  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Heat Generation ◽  
Transfer Rate ◽  
Mass Transfer Rate ◽  
Casson Fluid ◽  
Similarity Solutions ◽  
Local Similarity ◽  
The Impact

The aim of the present analysis is to provide local similarity solutions of Casson fluid over a non-isothermal cylinder subject to suction/blowing. The cylinder is placed inside a porous medium and stretched in a nonlinear way. Further, the impact of chemical reaction, viscous dissipation, and heat generation/absorption on flow fields is also investigated. Similarity transformations are employed to convert the nonlinear governing equations to nonlinear ordinary differential equations, and then solved via the Keller box method. Findings demonstrate that the magnitude of the friction factor and mass transfer rate are suppressed with increment in Casson parameter, whereas heat transfer rate is found to be intensified. Increase in the curvature parameter enhanced the flow field distributions. The magnitude of wall shear stress is noticed to be higher with an increase in porosity and suction/blowing parameters.

Non-Darcy natural convection flow for non-Newtonian nanofluid over cone saturated in porous medium with uniform heat and volume fraction fluxes

2015 ◽  
Vol 25 (2) ◽  
pp. 422-437 ◽  
Author(s):  
A Chamkha ◽  
S Abbasbandy ◽  
A.M. Rashad
Keyword(s):  
Porous Medium ◽  
Natural Convection ◽  
Mass Flux ◽  
Volume Fraction ◽  
Viscosity Index ◽  
Convection Flow ◽  
Content Type ◽  
Surface Mass ◽  
Uniform Heat ◽  
Nanoparticles Volume Fraction

Purpose – The purpose of this paper is to investigate the effect of uniform lateral mass flux on non-Darcy natural convection of non-Newtonian fluid along a vertical cone embedded in a porous medium filled with a nanofluid. Design/methodology/approach – The resulting governing equations are non-dimensionalized and transformed into a non-similar form and then solved numerically by Keller box finite-difference method. Findings – A comparison with previously published works is performed and excellent agreement is obtained. Research limitations/implications – The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. It is assumed that the cone surface is preamble for possible nanofluid wall suction/injection, under the condition of uniform heat and nanoparticles volume fraction fluxes. Originality/value – The effects of nanofluid parameters, Ergun number, surface mass flux and viscosity index are investigated on the velocity, temperature, and volume fraction profiles as well as the local Nusselt and Sherwood numbers.

Dual solutions of an unsteady magnetohydrodynamic stagnation-point flow of a nanofluid with heat and mass transfer in the presence of thermophoresis

2017 ◽  
Vol 232 (2) ◽  
pp. 155-164 ◽  
Author(s):  
Aurang Zaib ◽  
Krishnendu Bhattacharyya ◽  
SA Urooj ◽  
Sharidan Shafie
Keyword(s):  
Mass Transfer ◽  
Stagnation Point ◽  
Transfer Rate ◽  
Volume Fraction ◽  
Mass Transfer Rate ◽  
Skin Friction Coefficient ◽  
Dual Solutions ◽  
The Self ◽  
Stagnation Point Flow ◽  
Self Similar

The unsteady two-dimensional magnetohydrodynamic stagnation point flow of a nanofluid with thermophoresis effect is investigated numerically. The technique of similarity transformation is implemented to obtain the self-similar ordinary differential equations and then the self-similar equations are solved numerically using shooting method. This analysis explores the conditions of the existence, non-existence, uniqueness, and duality of the solutions of self-similar equations numerically. Dual solutions of velocity, temperature and concentration profiles are reported for different values of the each parameter involved for two types of nanoparticles, namely copper (Cu) and gold (Au) in the water-based fluid. It is found that the dual solutions exist for negative values of unsteady parameter A, whereas for positive values of unsteady parameter, the solution is unique. The results also indicate that the nanoparticle volume fraction reduces the skin friction coefficient, the heat transfer rate as well as mass transfer rate. Further, due to increase of thermophoresis parameter, the concentration inside the boundary layer reduces and the mass transfer rate enhances. In addition, to validate the present numerical results, comparison with published results is made and found to be in excellent agreement.

scholarly journals Analysis of thermally stratified flow of Sutterby nanofluid with zero mass flux condition

2020 ◽  
Vol 9 (2) ◽  
pp. 1631-1639
Author(s):  
Saif-ur-Rehman ◽  
Nazir A.Mir ◽  
M. Farooq ◽  
M. Rizwan ◽  
F. Ahmad ◽  
...  
Keyword(s):  
Mass Flux ◽  
Stratified Flow ◽  
Zero Mass ◽  
Flux Condition

Effects of NP Shapes on Non-Newtonian Bio-Nanofluid Flow in Suction/Blowing Process with Convective Condition: Sisko Model

2020 ◽  
Vol 45 (2) ◽  
pp. 97-108 ◽  
Author(s):  
Mohamed R. Eid
Keyword(s):  
Heat Transfer ◽  
Heat Transfer Rate ◽  
Biot Number ◽  
Transfer Rate ◽  
Volume Fraction ◽  
Nanofluid Flow ◽  
Au Nps ◽  
Non Linear ◽  
Flow Similarity ◽  
The One

AbstractThe present mathematical simulation deals with the study of heat transfer characteristics of the shape of gold nanoparticles (Au-NPs) on blood flow past an exponentially stretching sheet using Sisko nanofluid taking into account the Biot number effect. Influences of non-linear thermal radiation and suction/injection are considered. The one-phase model is used to describe the Sisko nanofluid flow. Similarity variables are performed to convert the non-linear PDEs into ordinary ones. These equations together with initial and boundary conditions are provided in a non-dimensional form and then resolved numerically utilizing the fourth–fifth-order Runge–Kutta–Fehlberg (RKF45) technique. The attitude of diverse flow quantities is investigated and examined via the study of parameters like the Au-NP volume fraction, the non-linear stretching parameter, and the Biot number. It is found that the Biot number improves the heat transfer rate markedly. In the blowing case, the blade-shaped Au-NPs show the highest heat transfer rate; in the suction case, the contrary is observed for spherical Au-NPs.

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