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.

Soret, Dufour and radiation effects of a viscoelastic fluid on an exponentially stretching surface using the Catteneo–Christov heat flux model

2020 ◽  
Vol 16 (6) ◽  
pp. 1577-1594
Author(s):  
Kazeem Babawale Kasali ◽  
Yusuf Olatunji Tijani ◽  
Matthew Oluwafemi Lawal ◽  
Yussuff Titilope Lawal
Keyword(s):  
Thermal Radiation ◽  
Chemical Reaction ◽  
Viscoelastic Fluid ◽  
Radiation Effects ◽  
Stretching Sheet ◽  
Content Type ◽  
Analytical Technique ◽  
Cross Diffusion ◽  
Exponentially Stretching Sheet ◽  
Exponentially Stretching

PurposeIn this paper, we studied the steady flow of a radiative magnetohydrodynamics viscoelastic fluid over an exponentially stretching sheet. This present work incorporated the effects of Soret, Dufour, thermal radiation and chemical reaction.Design/methodology/approachAn appropriate semi-analytical technique called homotopy analysis method (HAM) was used to solve the resulting nonlinear dimensionless boundary value problem, and the method was validated numerically using a finite difference scheme implemented on Maple software.FindingsIt was observed that apart from excellence agreement with the results in literature, the results obtained gave further insights into the behaviour of the system.Originality/valueThe purpose of this research is to investigate heat and mass transfer profiles of a MHD viscoelastic fluid flow over an exponentially stretching sheet in the influence of chemical reaction, thermal radiation and cross-diffusion which are hitherto neglected in previous studies.

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 MHD boundary layer slip flow of a casson fluid over an exponentially stretching surface in the presence of thermal radiation and chemical reaction

2016 ◽  
Vol 13 (2) ◽  
pp. 165-177 ◽  
Author(s):  
P. Bala Anki Reddy
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Ordinary Differential Equations ◽  
Casson Fluid ◽  
Stretching Surface ◽  
Linear Ordinary Differential Equations ◽  
Non Linear ◽  
Exponentially Stretching Surface ◽  
Exponentially Stretching

An analysis is carried out to investigate the steady two-dimensional magnetohydrodynamic boundary layer flow of a Casson fluid over an exponentially stretching surface in the presence of thermal radiation and chemical reaction. Velocity, thermal and solutal slips are considered instead of no-slip conditions at the boundary. Stretching velocity, wall temperature and wall concentration are considered in the exponential forms. The non-linear partial differential equations are converted into a system of non-linear ordinary differential equations by similarity transformations. The resultant non-linear ordinary differential equations are solved numerically by fourth order Runge-Kutta method along with shooting technique. The influence of various parameters on the fluid velocity, temperature, concentration, wall skin friction coefficient, the heat transfer coefficient and the Sherwood number have been computed and the results are presented graphically and discussed quantitatively. Comparisons with previously published works are performed on various special cases and are found to be in excellent agreement.  

scholarly journals Heat and mass transfer of steady magnetohydrodynamics mixed convection of dusty fluid flow with chemical reaction past an exponentially stretching sheet

2017 ◽  
Vol 13 (2) ◽  
Author(s):  
Siti Nur Haseela Izani ◽  
Anati Ali
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Fluid Flow ◽  
Differential Equations ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Physical Parameters ◽  
Dusty Fluid ◽  
Exponentially Stretching Sheet ◽  
Exponentially Stretching

An analysis has been carried out to study a problem of the chemical reaction effects on magnetohydrodynamics (MHD) mixed convective boundary layer flow with a fluid-particle suspension due to an exponentially stretching sheet. The effects of magnetic field and mass transfer are taken into account for the first time in the dusty fluid over the exponentially stretching sheet. The governing partial nonlinear differential equations corresponding to the momentum, energy and concentration are converted into a system of ordinary differential equations by using similarity transformations. The relevant dimensionless equations are then solved numerically using Runge-Kutta-Fehlberg fourth fifth order method (RKF45) with the help of Maple symbolic software. The influence of physical parameters on the velocity, temperature and concentration distributions for both phases were discussed numerically and presented in details through plotted graphs and tables. Also, the numerical values of skin friction coefficient, Nusselt and Sherwood number of the governing parameters are analyzed and discussed in details. The outcomes show that the reaction parameter affects the fluid flow whereas the magnetic field retards the fluid flow. A comparative study of the present results with the previous study provides an excellent agreement.

scholarly journals The Impact of Radiation Effect on MHD Stagnation-Point Flow of a Nanofluid over an Exponentially Stretching Sheet in the Presence of Chemical Reaction

2019 ◽  
Vol 24 (4) ◽  
pp. 125-139
Author(s):  
G. Narender ◽  
G. Sreedhar Sarma ◽  
K. Govardhan
Keyword(s):  
Differential Equations ◽  
Stagnation Point ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Nonlinear Partial Differential Equations ◽  
Stagnation Point Flow ◽  
Exponentially Stretching Sheet ◽  
Exponentially Stretching ◽  
The Impact ◽  
Chemical Reaction Parameter

Abstract The present study is to investigate the effect of the chemical reaction parameter on stagnation point flow of magnetohydrodynamics field past an exponentially stretching sheet by considering a nanofluid. The problem is governed by governing coupled nonlinear partial differential equations with appropriate boundary conditions. The transformed non-dimensional and coupled governing ordinary differential equations are solved numerically using the fourth order Adams-Bashforth Moulton method. The effects of various dimensionless parameters on velocity, temperature and concentration fields are studied and then the results are presented in both tabular and graphical forms.

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