scholarly journals Impact of Hall Current and Nonlinear Thermal Radiation on Jeffrey Nanofluid Flow in Rotating Frame

2021 ◽  
Vol 2021 ◽  
pp. 1-21
Author(s):  
Hakeem Ullah ◽  
Abdelaziz Alsubie ◽  
Mehreen Fiza ◽  
Nawaf N. Hamadneh ◽  
Saeed Islam ◽  
...  
Keyword(s):  
Brownian Motion ◽  
Temperature Distribution ◽  
Deborah Number ◽  
Jeffrey Fluid ◽  
Nonlinear Thermal Radiation ◽  
Rotating System ◽  
Runge Kutta Method ◽  
Homotopy Analysis ◽  
Jeffrey Nanofluid ◽  
Stretching Plate

This research article deals with the nonlinear thermally radiated influences on non-Newtonian nanofluid considering Jeffrey fluid in a rotating system. The governing equations of the nanofluid have been transformed to a set of differential nonlinear equations, using suitable similarity variables. The Homotopy Analysis Method (HAM) and Runge–Kutta Method of order 4 (RK Method of order 4) are used for the solution of the modeled problem. The variation of the skin friction, Nusselt number, Sherwood number, and their impacts on the velocity distribution, temperature distribution, and concentration distribution have been examined. The influence of the Hall effect, rotation, Brownian motion, porosity, and thermophoresis analysis are also investigated. Moreover, for comprehension of the physical presentation of the embedded parameters, Deborah number β , viscosity parameter R , rotation parameter Kr , Brownian motion parameter Nb , porosity parameter γ , magnetic parameter M , Prandtl number Pr , thermophoretic parameter Nt , and Schmidt number Sc have been plotted and deliberated graphically. For large values of Brownian parameter, the kinetic energy increases, which in turn increases the temperature distribution, while the thermal boundary layer thickness decreases by increasing the radiation parameter, and the Hall parameter increases the motion of the fluid in horizontal direction. Also, the mass flux has been observed as a decreasing function at the lower stretching plate.

scholarly journals Flow of a Jeffrey Fluid Between Two Long Vertical Thin Plates with Porous Medium

2018 ◽  
Vol 7 (4.10) ◽  
pp. 1059
Author(s):  
S. Sreenadh ◽  
B. Govindarajulu ◽  
A. N.S. Srinivas ◽  
R. Nageshwar Rao
Keyword(s):  
Porous Medium ◽  
Temperature Distribution ◽  
Fluid Velocity ◽  
Numerical Results ◽  
Thin Plates ◽  
Jeffrey Fluid ◽  
Runge Kutta Method ◽  
Fluid Parameter ◽  
Permeability Parameter ◽  
Order Four

The present study investigates fully developed free - convection Jeffrey fluid flow between two vertical plates with porous medium. The vertical plates are moving with same velocity but in opposite directions. The coupled nonlinear governing equations are solved by using the linearization technique. The solutions for velocity distribution, temperature distribution, skin friction and rate of heat transfer is obtained in the presence of porous medium by Iterative procedure.  Shooting technique with Runge - Kutta method of order four is proposed to compare the numerical results for velocity and temperature distribution. The numerical results obtained by both methods are compared and presented graphically. It is observed that an increase in the permeability parameter causes decrease in the fluid velocity and an increase in the Jeffrey fluid parameter causes an enhancement in the fluid velocity. The significance of various pertinent parameters like Grashof number, Prandtl number, Eckert number and the plate velocity are explained through graphs.  

scholarly journals Thermo diffusion aspects in Jeffrey nanofluid over periodically moving surface with time dependent thermal conductivity

2019 ◽  
pp. 312-312 ◽  
Author(s):  
Khan Ullah ◽  
Shehzad Ali ◽  
Abbasi Munir ◽  
Arshad Hussain
Keyword(s):  
Thermal Conductivity ◽  
Nonlinear Differential Equations ◽  
Heated Surface ◽  
Lewis Number ◽  
Double Diffusion ◽  
Variable Thermal Conductivity ◽  
Deborah Number ◽  
Time Dependent ◽  
Jeffrey Fluid ◽  
Homotopy Analysis

Double diffusion flow of Jeffrey fluid in presence of nanoparticles is studied theoretically under time dependent thermal conductivity. The considered nanoparticles are evaporated over convectively heated surface which moves periodically in its own plane. The appropriate dimensionless variables are employed to obtain the dimensionless forms of governing equations. We computed the analytical solution of nonlinear differential equations by utilizing homotopy analysis method. The present investigation reveals the features of various emerging parameters like Deborah number, combined parameter, oscillation frequency to stretching rate ratio, Prandtl number, Lewis number, thermophoresis parameter, Brownian motion parameter, nano Lewis number, modified Dufour parameter and Dufour solutal Lewis number. A useful enhancement in movement of nanoparticles is observed by utilizing the combined magnetic and porosity effects. Unlike traditional studies, present analysis is confined with the unsteady transportation phenomenon from periodically moving surfaces. Such computation may be attributable in flow results from tensional vibrations due to stretching and elastic surfaces. The simulation presented here can be attractable significance in the bioengineered nanoparticles manufacturing. It is observed that the heat transportation of nanoparticles may efficiently enhance through the utilization of variable thermal conductivity. The solutal concentration decreases with increasing Deborah number and Lewis number. It is further noted that the nano Lewis number causes reduction of nanoparticles concentration.

scholarly journals Impacts of Viscous Dissipation and Brownian motion on Jeffrey Nanofluid Flow over an Unsteady Stretching Surface with Thermophoresis

Symmetry ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 1450
Author(s):  
Essam R. El-Zahar ◽  
Ahmed M. Rashad ◽  
Laila F. Seddek
Keyword(s):  
Brownian Motion ◽  
Mixed Convection ◽  
Skin Friction ◽  
Viscous Dissipation ◽  
Continuation Method ◽  
Skin Friction Coefficient ◽  
Deborah Number ◽  
Nanofluid Flow ◽  
And Brownian Motion ◽  
Jeffrey Nanofluid

The goal of this investigation is to explore the influence of viscous dissipation and Brownian motion on Jeffrey nanofluid flow over an unsteady moving surface with thermophoresis and mixed convection. Zero mass flux is also addressed at the surface such that the nanoparticles fraction of maintains itself on huge obstruction. An aiding transformation is adopted to renovate the governing equations into a set of partial differential equations which is solved using a new fourth-order finite difference continuation method and various graphical outcomes are discussed in detail with several employed parameters. The spectacular influence of pertinent constraints on velocity and thermal curves are inspected through various plots. Computational data for the heat transfer rate and skin-friction coefficient are also reported graphically. Graphical outcomes indicate that an augmentation in buoyance ratio and thermophoretic parameter leads to diminish the velocity curves and increase the temperature curves. Furthermore, it is inspected that escalating Deborah number exhibits increasing in the skin friction and salient decreasing heat transmission. Increasing magnetic strength leads to a reduction in the skin friction and enhancement in the Nusselt number, whilst a reverse reaction is manifested with mixed convection aspects.

Influence of Thermal Radiation on the Unsteady Mixed Convection Flow of a Jeffrey Fluid over a Stretching Sheet

2010 ◽  
Vol 65 (8-9) ◽  
pp. 711-719 ◽  
Author(s):  
Tasawar Hayat ◽  
Meraj Mustafa
Keyword(s):  
Heat Transfer ◽  
Mixed Convection ◽  
Thermal Radiation ◽  
Deborah Number ◽  
Convection Flow ◽  
Jeffrey Fluid ◽  
Mixed Convection Flow ◽  
Suction Parameter ◽  
Unsteady Mixed Convection ◽  
Homotopy Analysis

This study is concerned with the effect of thermal radiation on the unsteady mixed convection flow of a Jeffrey fluid past a porous vertical stretching surface. The arising problems of flow and heat transfer are solved analytically by employing homotopy analysis method (HAM). It is observed that the flow field is influenced appreciably by the unsteadiness parameter ζ , suction parameter S, mixed convection parameter λ , Deborah number β , Prandtl number Pr, and the radiation parameter Nr. Our performed computations depict that the heat transfer rate is increased with increasing values of Pr, Nr, and ζ

Slip Effect on Magnetohydrodynamic Flow and Heat Transfer of Jeffrey Nanofluid Over a Stretching Sheet in the Presence of Non Linear Thermal Radiation and Chemical Reaction

2020 ◽  
Vol 17 (4) ◽  
pp. 1953-1962
Author(s):  
J. Suresh Goud ◽  
P. Srilatha ◽  
K. Thanesh Kumar ◽  
S. Devraj
Keyword(s):  
Heat Transfer ◽  
Brownian Motion ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Slip Flow ◽  
Deborah Number ◽  
Flow And Heat Transfer ◽  
Non Linear ◽  
Jeffrey Nanofluid

Analysis has been conducted to analyze the effects of second order slip flow and heat transfer of Jeffrey nanofluid over a stretching sheet with non linear thermal radiation and chemical reaction. The effects of Brownian motion and thermophoresis occur in the transport equations. The velocity, temperature and nanoparticle concentration profiles are analyzed with respect to the involved parameters of interest namely Brownian motion parameters, thermophoresis parameter, magnetic parameter, radiation parameter, Prandtl number, Lewis number, chemical reaction parameter, and Deborah number, Convergence of the derived solutions was checked and the influence of embedded parameters was analyzed by plotting graphs. It was noticed that the velocity increases with an increase in the Deborah number. We further found that for fixed values of other parameters, numerical values of the skin friction coefficient, local Nusselt numbers and Sherwood numbers were computed and examined. A comparative study between the previous published and present results in a limiting sense is found in an excellent agreement.

scholarly journals Darcy Forchheimer flow of Jeffrey nanofluid with heat generation/absorption and melting heat transfer

2019 ◽  
Vol 23 (6 Part B) ◽  
pp. 3833-3842 ◽  
Author(s):  
Tasawar Hayat ◽  
Faisal Shah ◽  
Zakir Hussain ◽  
Ahmed Al-Saedi
Keyword(s):  
Heat Transfer ◽  
Brownian Motion ◽  
Stretching Sheet ◽  
Analysis Method ◽  
Optimal Homotopy Analysis Method ◽  
Melting Heat ◽  
Non Linear ◽  
Homotopy Analysis ◽  
Jeffrey Nanofluid ◽  
Forchheimer Flow

This study reports Darcy-Forchheimer flow of MHD Jeffrey nanofluid bounded by non-linear stretching sheet with variable thickness. Thermophoresis and Brownian motion are studied. Heat transfer is accounted with melting heat and heat absorption/generation. Optimal homotopy analysis method is utilized for the solutions development of non-linear ordinary differential system. Outcomes of parameters involved in equation are studied through graphs. Outcomes indicate that ratio parameter declines the velocity. Melting parameter enhances temperature and concentration. Nusselt number increases in the occurrence of thermophoresis Brownian motion

Estimation of parameters in a fin with temperature-dependent thermal conductivity and radiation

2016 ◽  
Vol 230 (6) ◽  
pp. 474-485 ◽  
Author(s):  
Ranjan Das
Keyword(s):  
Thermal Conductivity ◽  
Temperature Distribution ◽  
Numerical Study ◽  
Estimation Of Parameters ◽  
Temperature Dependent ◽  
Runge Kutta Method ◽  
Adomian Decomposition ◽  
Homotopy Analysis ◽  
Conductivity Parameter ◽  
Temperature Dependent Thermal Conductivity

In this paper an inverse numerical study of a conductive, convective and radiative rectangular fin is carried out with temperature-dependent thermal conductivity. At first, an implicit Runge-Kutta method-based solution is obtained for calculating the temperature distribution, and then an inverse problem is solved for estimation of unknown thermo-physical properties. The convection–conduction parameter, variable conductivity parameter and radiative parameter have been simultaneously predicted for satisfying a prescribed temperature distribution. This is achieved by minimizing a least squares-based objective function using a hybrid differential evolution-nonlinear programming optimization algorithm. The results obtained from the forward method are compared with Adomian decomposition and homotopy analysis methods which are found to be satisfactory. It is observed that many feasible combinations of parameters exist which satisfy the same temperature distribution, thus providing an opportunity for selecting any combination from the available alternatives. The effect of convection–conduction parameter on the temperature distribution is observed to be more than other parameters. A case study of different fin materials is also carried out for demonstrating the application of the present methodology.

Analytic Solution for the Magnetohydrodynamic Rotating Flow of Jeffrey Fluid in a Channel

2011 ◽  
Vol 133 (6) ◽  
Author(s):  
T. Hayat ◽  
M. Awais ◽  
S. Asghar ◽  
Awatif A. Hendi
Keyword(s):  
Magnetic Field ◽  
Differential Equations ◽  
Nonlinear Partial Differential Equations ◽  
Three Dimensional ◽  
Jeffrey Fluid ◽  
Analysis Method ◽  
Rotating System ◽  
Electrically Conducting ◽  
Similarity Transformations ◽  
Homotopy Analysis

In this work, the homotopy analysis method is applied to enable discussion of the three-dimensional shrinking flow of Jeffrey fluid in a rotating system. The fluid is electrically conducting in the presence of a uniform applied magnetic field, and the induced magnetic field is neglected. The similarity transformations reduce the nonlinear partial differential equations into ordinary differential equations. The convergence of the obtained solutions is checked. Graphs are plotted and discussed for various parameters of interest.

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