scholarly journals A Framework for the Magnetic Dipole Effect on the Thixotropic Nanofluid Flow Past a Continuous Curved Stretched Surface

Crystals ◽  
2021 ◽  
Vol 11 (6) ◽  
pp. 645
Author(s):  
Noor Saeed Khan ◽  
Auwalu Hamisu Usman ◽  
Arif Sohail ◽  
Abid Hussanan ◽  
Qayyum Shah ◽  
...  
Keyword(s):  
Magnetic Dipole ◽  
Radiation Effects ◽  
Analysis Method ◽  
Governing Equations ◽  
Stretching Surface ◽  
Nanofluid Flow ◽  
Linear Ordinary Differential Equations ◽  
Similarity Transformations ◽  
Homotopy Analysis ◽  
Nanoparticles Concentration

The magnetic dipole effect for thixotropic nanofluid with heat and mass transfer, as well as microorganism concentration past through a curved stretching surface, is discussed. The flow is in a porous medium, which describes the Darcy–Forchheimer model. Through similarity transformations, the governing equations of the problem are transformed into non-linear ordinary differential equations, which are then processed using an efficient and powerful method known as the homotopy analysis method. All the embedded parameters are considered when analyzing the problem through solution. The dipole and porosity effects reduce the velocity, while the thixotropic nanofluid parameter increases the velocity. Through the dipole and radiation effects, the temperature is enhanced. The nanoparticles concentration increases as the Biot number and curvature, solutal, chemical reaction parameters increase, while it decreases with increasing Schmdt number. The microorganism motile density decreases as the Peclet and Lewis numbers increase. Streamlines demonstrate that the trapping on the curved stretched surface is uniform.

Chemical Reaction and Radiation Effects on Non-Newtonian Fluid Flow over a Stretching Sheet with Non-Uniform Thickness and Heat Source

2018 ◽  
Vol 387 ◽  
pp. 319-331 ◽  
Author(s):  
S. Mohammed Ibrahim ◽  
Prathi Vijaya Kumar ◽  
Oluwole Daniel Makinde
Keyword(s):  
Heat Source ◽  
Newtonian Fluid ◽  
Radiation Effects ◽  
Analysis Method ◽  
Governing Equations ◽  
Similarity Transformations ◽  
Slip Effects ◽  
Homotopy Analysis ◽  
Chemically Reacting ◽  
Dufour Number

The principle priority of this study is to inspect the performance of two dimensional chemically reacting non-Newtonian fluid bearing Soret, Dufour, thermal radiation, heat source and slip effects. The flow is prompted by a slendering surface with variable thickness. Casson and Williamson fluid models are incorporated in this discussion. Governing equations are evolved and converted into ordinary differential equations using similarity transformations. We adopted homotopy analysis method (HAM) to pick up the solutions. The graphical and tabular results for velocity, temperature, concentration, skin friction factor, local Nusselt number and Sherwood number are secured for both Casson and Williamson fluids. The correspondence between the acquired and previous results reveals that they are in good correlation. It is found that there is a significant increase in the thermal boundary layer thickness when the strength of the Dufour number is increased.

scholarly journals Unsteady thermal Maxwell power law nanofluid flow subject to forced thermal Marangoni Convection

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Muhammad Jawad ◽  
Anwar Saeed ◽  
Taza Gul ◽  
Zahir Shah ◽  
Poom Kumam
Keyword(s):  
Relaxation Time ◽  
Power Law ◽  
Marangoni Convection ◽  
Power Law Model ◽  
Analysis Method ◽  
Stretching Surface ◽  
Nanofluid Flow ◽  
Welan Gum ◽  
Homotopy Analysis ◽  
Power Law Nanofluid

AbstractIn the current work, the unsteady thermal flow of Maxwell power-law nanofluid with Welan gum solution on a stretching surface has been considered. The flow is also exposed to Joule heating and magnetic effects. The Marangoni convection equation is also proposed for current investigation in light of the constitutive equations for the Maxwell power law model. For non-dimensionalization, a group of similar variables has been employed to obtain a set of ordinary differential equations. This set of dimensionless equations is then solved with the help of the homotopy analysis method (HAM). It has been established in this work that, the effects of momentum relaxation time upon the thickness of the film is quite obvious in comparison to heat relaxation time. It is also noticed in this work that improvement in the Marangoni convection process leads to a decline in the thickness of the fluid’s film.

Thermally and chemically reacted MHD Maxwell nanofluid flow past an inclined permeable stretching surface

2021 ◽  
pp. 095440892110507
Author(s):  
Amar B. Patil ◽  
Vishwambhar S. Patil ◽  
Pooja P. Humane ◽  
Nalini S. Patil ◽  
Govind R. Rajput
Keyword(s):  
Differential Equations ◽  
Energy Transport ◽  
Stretching Surface ◽  
Nanofluid Flow ◽  
Linear Ordinary Differential Equations ◽  
Maxwell Nanofluid ◽  
Similarity Transformations ◽  
Flow Past ◽  
Chemically Reacting ◽  
The Impact

The present work deals with chemically reacting unsteady magnetohydrodynamic Maxwell nanofluid flow past an inclined permeable stretching surface embedded in a porous medium with thermal radiation. The formulated governing partial differential equations conveying the flow model of Maxwell with Buongiorno modeled nanofluid is transformed into the system of highly non-linear ordinary differential equations via suitable similarity transformations; those equations are transmuted into an initial value problem and then solved numerically by a shooting approach with Runge–-Kutta fourth-order schema. To obtain the physical insight of the flow situation, the influence of associated parameters on the velocity, temperature, and concentration profiles is sketched graphically with the aid of MATLAB software. Furthermore, engineering quantities of interest are interpreted graphically. The computed numerical results are compared to estimate the validity of the achieved results; it has been found out that the computed results are highly accurate. The impact of the Maxwell parameter and inclination angle of the sheet on the velocity field is observed in decaying. Both thermal and solutal energy transport are progressive in nature as the Maxwell parameter and thermophoresis parameter grows, and a reverse trend is observed for Prandtl number.

Stagnation Flow of a Jeffrey Fluid over a Shrinking Sheet

2010 ◽  
Vol 65 (6-7) ◽  
pp. 540-548 ◽  
Author(s):  
Sohail Nadeem ◽  
Anwar Hussain ◽  
Majid K
Keyword(s):  
Jeffrey Fluid ◽  
Shrinking Sheet ◽  
Series Solutions ◽  
Analysis Method ◽  
Governing Equations ◽  
Stagnation Flow ◽  
Similarity Transformations ◽  
Homotopy Analysis ◽  
Layer Flow ◽  
Equations Of Motions

January 22, 2009 The present paper describes the analytical solutions for the steady boundary layer flow of a Jeffrey fluid over a shrinking sheet. The governing equations of motions are reduced into a set of nonlinear ordinary differential equations by using similarity transformations. Two types of problems, namely, (1) two-dimensional stagnation flow towards a shrinking sheet and (2) axisymmetric stagnation flow towards an axisymmetric shrinking sheet, have been discussed. The series solutions of the problems are obtained by using the homotopy analysis method (HAM). The convergence of the obtained series solutions are analyzed and discussed in detail through graphs for various parameters of interest.

scholarly journals MHD Flow and Heat Transfer in a Channel Bounded by a Shrinking Sheet and a Porous Medium Bed: Homotopy Analysis Method

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Dileep Singh Chauhan ◽  
Rashmi Agrawal
Keyword(s):  
Porous Medium ◽  
Mhd Flow ◽  
Temperature Fields ◽  
Shrinking Sheet ◽  
Analysis Method ◽  
Governing Equations ◽  
Similarity Transformations ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis ◽  
Surface Similarity

MHD flow of viscous conducting fluid is considered between a shrinking sheet and a porous medium bed. Suction is applied at the upper shrinking sheet and its surface temperature is always maintained higher than the temperature of the lower porous bed surface. Similarity transformations and HAM are used to solve the governing equations for velocity and temperature fields. The effects of various pertinent parameters on the results are discussed graphically.

Unsteady Three-Dimensional Flow in a Second-Grade Fluid Over a Stretching Surface

2011 ◽  
Vol 66 (10-11) ◽  
pp. 635-642 ◽  
Author(s):  
Tasawar Hayat ◽  
Ambreen Safdar ◽  
Muhammad Awais ◽  
Awatif A. Hendi
Keyword(s):  
Differential Equations ◽  
Nonlinear Partial Differential Equations ◽  
Three Dimensional ◽  
Second Grade ◽  
Analysis Method ◽  
Second Grade Fluid ◽  
Stretching Surface ◽  
Similarity Transformations ◽  
Homotopy Analysis ◽  
Grade Fluid

The three-dimensional unsteady flow induced in a second-grade fluid over a stretching surface has been investigated. Nonlinear partial differential equations are reduced into a system of ordinary differential equations by using the similarity transformations. The homotopy analysis method (HAM) has been implemented for the series solutions. Graphs are displayed for the effects of different parameters on the velocity field.

Numerical investigation of viscoelastic nanofluid flow with radiation effects

2019 ◽  
Vol 233 (2-4) ◽  
pp. 87-96 ◽  
Author(s):  
Azad Hussain ◽  
Lubna Sarwar ◽  
Sobia Akbar ◽  
Sohail Nadeem ◽  
Sarmad Jamal
Keyword(s):  
Radiation Effects ◽  
Weissenberg Number ◽  
Temperature Fields ◽  
Governing Equations ◽  
Nanofluid Flow ◽  
Shooting Technique ◽  
Similarity Transformations ◽  
Permeability Parameter ◽  
Viscoelastic Nanofluid ◽  
Energy Equations

In this article, the fully developed steady state flow of an incompressible fluid pertained to as viscoelastic nanofluid model with radiation effects through a penetrable plate is studied. Continuity, momentum and energy equations are elaborated to comprehend the nature of the fluid flow. By using similarity transformations, the solution of arising governing equations is obtained numerically with the assistance of a shooting technique. Furthermore, the consequences of different parameters, that is, Brownian motion parameter, Weissenberg number, thermophoresis parameter, permeability parameter, non-Newtonian parameter and radiation parameter on concentration, velocity and temperature fields, are canvassed with the help of graphs. The effects of Pr and [Formula: see text] on Nusselt number and [Formula: see text] and [Formula: see text] on Sherwood number are also discussed with the assistance of graphs and tables for different values of dimensionless parameters.

scholarly journals Soret and dufour effects on hydromagnetic flow of Eyring-Powell fluid over oscillatory stretching surface with heat generation/absorption and chemical reaction

2018 ◽  
Vol 22 (1 Part B) ◽  
pp. 533-543 ◽  
Author(s):  
Khan Ullah ◽  
Nasir Ali ◽  
Zaheer Abbas
Keyword(s):  
Analysis Method ◽  
Governing Equations ◽  
Convective Boundary ◽  
Soret And Dufour Effects ◽  
Electrically Conducting ◽  
Homotopy Analysis ◽  
Oscillatory Stretching Surface ◽  
And Diffusion ◽  
Local Sherwood Number ◽  
Oscillatory Stretching Sheet

In this article, we have investigated thermal-diffusion and diffusion-thermo effects on unsteady flow of electrically conducting Eyring-Powell fluid over an oscillatory stretching sheet by using convective boundary conditions. A set of appropriate variables are used to reduce number of independent variables in governing equations. Series solution is computed using homotopy analysis method. The effects of various parameters of interest on the velocity filed, temperature profile, concentration profile, skin friction, local Nusselt number and local Sherwood number are illustrated graphically and discussed in detail.

Optimal Homotopic Exploration of features of Cattaneo-Christov model in Second Grade Nanofluid flow via Darcy-Forchheimer medium subject to Viscous Dissipation and Thermal Radiation

2021 ◽  
Vol 24 ◽  
Author(s):  
Ghulam Rasool ◽  
Anum Shafiq ◽  
Yu-Ming Chu ◽  
Muhammad Shoaib Bhutta ◽  
Amjad Ali
Keyword(s):  
Temperature Distribution ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Skin Friction ◽  
Homotopy Analysis Method ◽  
Stream Velocity ◽  
Analysis Method ◽  
Nanofluid Flow ◽  
Optimal Homotopy Analysis Method ◽  
Homotopy Analysis

Introduction: In this article Optimal Homotopy analysis method (oHAM) is used for exploration of the features of Cattaneo-Christov model in viscous and chemically reactive nanofluid flow through a porous medium with stretching velocity at the solid/sheet surface and free stream velocity at the free surface. Methods: The two important aspects, Brownian motion and Thermophoresis are considered. Thermal radiation is also included in present model. Based on the heat and mass flux, the Cattaneo-Christov model is implemented on the Temperature and Concentration distributions. The governing Partial Differential Equations (PDEs) are converted into Ordinary Differential Equations (ODEs) using similarity transformations. The results are achieved using the optimal homotopy analysis method (oHAM). The optimal convergence and residual errors have been calculated to preserve the validity of the model. Results: The results are plotted graphically to see the variations in three main profiles i.e. momentum, temperature and concentration profile. Conclusion: The outcomes indicate that skin friction enhances due to implementation of Darcy medium. It is also noted that the relaxation time parameter results in enhancement of the temperature distribution. Thermal radiation enhances the temperature distribution and so is the case with skin friction.

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