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.

Unsteady Flow and Heat Transfer of a MHD Micropolar Fluid Over a Porous Stretching Sheet in the Presence of Thermal Radiation

2013 ◽  
Vol 29 (3) ◽  
pp. 559-568 ◽  
Author(s):  
G. C. Shit ◽  
R. Haldar ◽  
A. Sinha
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Boundary Layer Flow ◽  
Micropolar Fluid ◽  
Stretching Sheet ◽  
Flow And Heat Transfer ◽  
Non Linear ◽  
Layer Flow

AbstractA non-linear analysis has been made to study the unsteady hydromagnetic boundary layer flow and heat transfer of a micropolar fluid over a stretching sheet embedded in a porous medium. The effects of thermal radiation in the boundary layer flow over a stretching sheet have also been investigated. The system of governing partial differential equations in the boundary layer have reduced to a system of non-linear ordinary differential equations using a suitable similarity transformation. The resulting non-linear coupled ordinary differential equations are solved numerically by using an implicit finite difference scheme. The numerical results concern with the axial velocity, micro-rotation component and temperature profiles as well as local skin-friction coefficient and the rate of heat transfer at the sheet. The study reveals that the unsteady parameter S has an increasing effect on the flow and heat transfer characteristics.

Thermal radiation and chemical reaction effects on boundary layer slip flow and melting heat transfer of nanofluid induced by a nonlinear stretching sheet

2016 ◽  
Vol 5 (3) ◽  
Author(s):  
M.R. Krishnamurthy ◽  
B.J. Gireesha ◽  
B.C. Prasannakumara ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Volume Fraction ◽  
Slip Flow ◽  
Melting Heat ◽  
Melting Heat Transfer ◽  
Nonlinear Stretching

AbstractA theoretically investigation has been performed to study the effects of thermal radiation and chemical reaction on MHD velocity slip boundary layer flow and melting heat transfer of nanofluid induced by a nonlinear stretching sheet. The Brownian motion and thermophoresis effects are incorporated in the present nanofluid model. A set of proper similarity variables is used to reduce the governing equations into a system of nonlinear ordinary differential equations. An efficient numerical method like Runge-Kutta-Fehlberg-45 order is used to solve the resultant equations for velocity, temperature and volume fraction of the nanoparticle. The effects of different flow parameters on flow fields are elucidated through graphs and tables. The present results have been compared with existing one for some limiting case and found excellent validation.

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

scholarly journals Numerical solution of mixed convection flow of an MHD Jeffery fluid over an exponentially stretching sheet in the presence of thermal radiation and chemical reaction

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 249-259 ◽  
Author(s):  
Stanford Shateyi ◽  
Gerald T. Marewo
Keyword(s):  
Differential Equations ◽  
Mixed Convection ◽  
Thermal Radiation ◽  
Ordinary Differential Equations ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Deborah Number ◽  
Exponentially Stretching Sheet ◽  
Non Linear ◽  
Exponentially Stretching

Abstract We numerically investigate a mixed convection model for a magnetohydrodynamic (MHD) Jeffery fluid flowing over an exponentially stretching sheet. The influence of thermal radiation and chemical reaction is also considered in this study. The governing non-linear coupled partial differential equations are reduced to a set of coupled non-linear ordinary differential equations by using similarity functions. This new set of ordinary differential equations are solved numerically using the Spectral Quasi-Linearization Method. A parametric study of physical parameters involved in this study is carried out and displayed in tabular and graphical forms. It is observed that the velocity is enhanced with increasing values of the Deborah number, buoyancy and thermal radiation parameters. Furthermore, the temperature and species concentration are decreasing functions of the Deborah number. The skin friction coefficient increases with increasing values of the magnetic parameter and relaxation time. Heat and mass transfer rates increase with increasing values of the Deborah number and buoyancy parameters.

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