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.

scholarly journals Impact of Second-Order Slip and Double Stratification Coatings on 3D MHD Williamson Nanofluid Flow with Cattaneo–Christov Heat Flux

Coatings ◽  
2019 ◽  
Vol 9 (12) ◽  
pp. 849 ◽  
Author(s):  
Muhammad Ramzan ◽  
Asma Liaquet ◽  
Seifedine Kadry ◽  
Sungil Yu ◽  
Yunyoung Nam ◽  
...  
Keyword(s):  
Heat Flux ◽  
Three Dimensional ◽  
Equation System ◽  
Second Order ◽  
Double Stratification ◽  
Nanofluid Flow ◽  
Analysis Technique ◽  
Homotopy Analysis ◽  
Opposite Behavior ◽  
The Impact

The present research examines the impact of second-order slip with thermal and solutal stratification coatings on three-dimensional (3D) Williamson nanofluid flow past a bidirectional stretched surface and envisages it analytically. The novelty of the analysis is strengthened by Cattaneo–Christov (CC) heat flux accompanying varying thermal conductivity. The appropriate set of transformations is implemented to get a differential equation system with high nonlinearity. The structure is addressed via the homotopy analysis technique. The authenticity of the presented model is verified by creating a comparison with the limited published results and finding harmony between the two. The impacts of miscellaneous arising parameters are deliberated through graphical structures. Some useful tabulated values of arising parameters versus physical quantities are also discussed here. It is observed that velocity components exhibit an opposite trend with respect to the stretching ratio parameter. Moreover, the Brownian motion parameter shows the opposite behavior versus temperature and concentration distributions.

scholarly journals Impact of Cross-Diffusion on Methanol-Based Fe3O4 Nanofluid

2020 ◽  
Vol 11 (4) ◽  
pp. 11499-11508
Keyword(s):  
Thermal Conductivity ◽  
Thermal Field ◽  
Nanofluid Flow ◽  
Needle Size ◽  
Cross Diffusion ◽  
Two Fluids ◽  
Flow Features ◽  
The Impact ◽  
Extreme Parameters

This paper reports the impact of cross-diffusion on persistently moving a thin needle in a radiative hydromagnetic nanofluid flow. To validate the deviation in a border layer, we measured the flow features of two fluids such as methanol-magnetite and methanol. The converted ODEs are explicated by R-K centered shooting scheme. The consequences of extreme parameters on the existing profiles are depicted via graphs and numerical outcomes of tables. The study experiences that the velocity and temperature functions decrease with enhancing the needle size. The hypothesis of Soret and Dufour subjective to improve the thermal field, but it reduces the concentration. Further, it is noticed that the flow deterioration and strengthening of the thermal field have been perceived by the powers of Lorentz properties. The methanol-magnetite based nanofluid has higher thermal conductivity associated with methanol.

scholarly journals Impact of Nanofluid Flow over an Elongated Moving Surface with a Uniform Hydromagnetic Field and Nonlinear Heat Reservoir

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Haroon U. R. Rasheed ◽  
Saeed Islam ◽  
Zeeshan Khan ◽  
Sayer O. Alharbi ◽  
Hammad Alotaibi ◽  
...  
Keyword(s):  
Mathematical Formulation ◽  
Heat Rate ◽  
Lewis Number ◽  
Physical Parameters ◽  
Flow Equations ◽  
Heat Transfer Fluids ◽  
Differential Flow ◽  
Global Demand ◽  
Flow Features ◽  
Limiting Case

The increasing global demand for energy necessitates devoted attention to the formulation and exploration of mechanisms of thermal heat exchangers to explore and save heat energy. Thus, innovative thermal transport fluids require to boost thermal conductivity and heat flow features to upsurge convection heat rate, and nanofluids have been effectively employed as standard heat transfer fluids. With such intention, herein, we formulated and developed the constitutive flow laws by utilizing the Rossland diffusion approximation and Stephen’s law along with the MHD effect. The mathematical formulation is based on boundary layer theory pioneered by Prandtl. Governing nonlinear partial differential flow equations are changed to ODEs via the implementation of the similarity variables. A well-known computational algorithm BVPh2 has been utilized for the solution of the nonlinear system of ODEs. The consequence of innumerable physical parameters on flow field, thermal distribution, and solutal field, such as magnetic field, Lewis number, velocity parameter, Prandtl number, drag force, Nusselt number, and Sherwood number, is plotted via graphs. Finally, numerical consequences are compared with the homotopic solution as a limiting case, and an exceptional agreement is found.

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.

Second Law Analysis of MHD Micropolar Fluid Flow through a Porous Microchannel with Multiple Slip and Convective Boundary Conditions

2021 ◽  
Vol 409 ◽  
pp. 123-141
Author(s):  
Macha Madhu ◽  
N.S. Shashikumar ◽  
Bijjanal Jayanna Gireesha ◽  
Naikoti Kishan
Keyword(s):  
Heat Source ◽  
Magnetic Dipole ◽  
Joule Heating ◽  
Micropolar Fluid ◽  
Physical Parameters ◽  
Viscous Heating ◽  
Convective Condition ◽  
Convective Boundary ◽  
Flow Phenomena ◽  
The Impact

The impact of space dependent heat source in the transport of micropolar fluid in the existence of magnetic dipole, Joule heating, viscous heating, thermal radiation, hydrodynamic slips and convective condition effects has been numerically investigated. The dimensioned governing equations are non-dimensionlzed by using dimensionless variables then non-dimensional forms of the corresponding equations are than tackled by the versatile Finite Element Method (FEM). The effects of pertinent physical parameters characterize the flow phenomena are presented through graphs and discussed. It is found that, the impact of thermal based heat source advances the heat transfer characteristics significantly than exponential to space dependent. The thermal performance can be improved through the effects of magnetic dipole, viscous heating, Joule heating and convective condition. Further, the present numerical results are compared with previously published results in the literature as a limiting case of the considered problem and found to be in good agreement with the existing results.

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.

scholarly journals Joule Heating and Dissipation Effects on Magnetohydrodynamic Couple Stress Nanofluid Flow over a Bidirectional Stretching Surface

2021 ◽  
Vol 39 (1) ◽  
pp. 205-212
Author(s):  
Nainaru Tarakaramu ◽  
Panyam Venkata Satya Narayana ◽  
Dondu Harish Babu ◽  
Ganganapalli Sarojamma ◽  
Oluwole Daniel Makinde
Keyword(s):  
Thermal Radiation ◽  
Joule Heating ◽  
Three Dimensional ◽  
Nonlinear Thermal Radiation ◽  
Self Similarity ◽  
Nanofluid Flow ◽  
Shooting Technique ◽  
Boundary Layer Equations ◽  
Runge Kutta Method ◽  
Flow Variables

This work examines the effects of non-linear thermal radiation and Joule heating on MHD three-dimensional visco-elastic nanofluid flow due to a surface stretching in lateral directions. A coupled nonlinear differential system is generated from the boundary layer equations by using self-similarity variables and is then solved numerically by using most powerful shooting technique with Runge Kutta method of fourth order. The computational results for the flow variables are plotted graphically and are discussed in detail for various governing parameters that emerged in the analysis. It is observed that the momentum of the visco elastic nanofluid is better than that of a viscous fluid. Thicker thermal and concentration boundary layers are formed for increasing nonlinear thermal radiation and temperature ratio parameters. Also the results are in very good agreement with the outcomes available in the literature as a particular case. This model may play a significant role in the field of manufacturing and engineering applications.

scholarly journals Modified MHD Radiative Mixed Convective Nanofluid Flow Model with Consideration of the Impact of Freezing Temperature and Molecular Diameter

Symmetry ◽  
2019 ◽  
Vol 11 (6) ◽  
pp. 833 ◽  
Author(s):  
Umar Khan ◽  
Adnan Abbasi ◽  
Naveed Ahmed ◽  
Saima Noor ◽  
Ilyas Khan ◽  
...  
Keyword(s):  
Energy Equation ◽  
Flow Characteristics ◽  
Freezing Temperature ◽  
Point Of View ◽  
Effective Density ◽  
Nanofluid Flow ◽  
Shooting Technique ◽  
Electrically Conducting ◽  
Similarity Transformations ◽  
The Impact

Magnetohydrodynamics (MHD) deals with the analysis of electrically conducting fluids. The study of nanofluids by considering the influence of MHD phenomena is a topic of great interest from an industrial and technological point of view. Thus, the modified MHD mixed convective, nonlinear, radiative and dissipative problem was modelled over an arc-shaped geometry for Al2O3 + H2O nanofluid at 310 K and the freezing temperature of 273.15 K. Firstly, the model was reduced into a coupled set of ordinary differential equations using similarity transformations. The impact of the freezing temperature and the molecular diameter were incorporated in the energy equation. Then, the Runge–Kutta scheme, along with the shooting technique, was adopted for the mathematical computations and code was written in Mathematica 10.0. Further, a comprehensive discussion of the flow characteristics is provided. The results for the dynamic viscosity, heat capacity and effective density of the nanoparticles were examined for various nanoparticle diameters and volume fractions.

Influence of Chemical Reaction and Arrhenius Activation Energy on Hydromagnetic Non-Darcian Casson Nanofluid Flow with Second-Order Slip Condition

2021 ◽  
Vol 54 ◽  
pp. 100-117
Author(s):  
Emmanuel Olurotimi Titiloye ◽  
Adeshina Taofeeq Adeosun ◽  
Jacob Abiodun Gbadeyan
Keyword(s):  
Activation Energy ◽  
Chemical Reaction ◽  
Nonlinear Differential Equations ◽  
Velocity Slip ◽  
Second Order ◽  
Weighted Residual Method ◽  
Arrhenius Activation Energy ◽  
Nanofluid Flow ◽  
Casson Nanofluid ◽  
The Impact

This article investigates the combined effect of second-order velocity slip, Arrhenius activation energy and binary chemical reaction on reactive Casson nanofluid flow in a non-Darcian porous medium. The governing equations of the problem were first non-dimensionalized and later reduced to ordinary nonlinear differential equations by adopting a similarity transformation. The emerging nonlinear boundary value problem was solved by using Galerkin weighted residual method (GWRM). The obtained results were compared with those found in the literature to validate our method. The impact of pertinent parameters on the velocity component, temperature distribution and concentration profile are presented using graphs and were discussed. The computational results show that an increase in second order slip parameter significantly results to an increase in the temperature as well as nanoparticle concentration profiles, while it reduces the velocity profile.

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