MHD flow of tangent hyperbolic fluid over a stretching cylinder: Using Keller box method

2015 ◽  
Vol 395 ◽  
pp. 271-276 ◽  
Author(s):  
M.Y. Malik ◽  
T. Salahuddin ◽  
Arif Hussain ◽  
S. Bilal
Keyword(s):  
Mhd Flow ◽  
Stretching Cylinder ◽  
Keller Box Method ◽  
Tangent Hyperbolic Fluid ◽  
Box Method

Unsteady MHD Flow of Heat and Mass Transfer of Nanofluids over Stretching Sheet with a Non-Uniform Heat/Source/Sink Considering Viscous Dissipation and Chemical Reaction

2015 ◽  
Vol 14 ◽  
pp. 1-12 ◽  
Author(s):  
Hunegnaw Dessie ◽  
Naikoti Kishan
Keyword(s):  
Mass Transfer ◽  
Heat Source ◽  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Keller Box Method ◽  
Uniform Heat ◽  
Box Method ◽  
Source Sink

In this paper, unsteady MHD flow of heat and mass transfer of Cu-water and TiO2-water nanofluids over stretching sheet with a non-uniform heat/source/sink considering viscous dissipation and chemical reaction is investigated. The governing partial differential equations with the corresponding boundary conditions are transformed to a system of non-linear ordinary differential equations and solved using Keller box method. The velocity, temperature and concentration profiles are obtained and the influences of various relevant parameters, namely the magnetic parameter M, Prandtl number Pr, Eckert number Ec, Schmidt number Le , chemical reaction parameter K,unsteadiness parameter S and the Soret number Sr on velocity, temperature and concentration profiles are discussed. The skin-friction coefficient–f''(0), heat transfer coefficient –θ'(0) and mass transfer coefficient –φ'(0) are presented in tables. A comparison with published results is also presented and found in good agreement. Keywords: MHD; Keller box method; unsteady; nanofluid; non-uniform heat/source/sink; chemical reaction; viscous dissipation.

Mixed Convection Boundary Layer Flow of Williamson Fluid with Slip Conditions Over a Stretching Cylinder by Using Keller Box Method

2017 ◽  
Vol 18 (1) ◽  
pp. 9-17 ◽  
Author(s):  
T. Salahuddin ◽  
M. Y. Malik ◽  
Arif Hussain ◽  
M. Awais ◽  
S. Bilal
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Mixed Convection ◽  
Ordinary Differential Equations ◽  
Convection Flow ◽  
Physical Parameters ◽  
Stretching Cylinder ◽  
Williamson Fluid ◽  
Keller Box Method ◽  
Box Method

AbstractThe aim of the present analysis is to examine the effects of slip boundary conditions and mixed convection flow of Williamson fluid over a stretching cylinder. The boundary layer partial differential equations are transformed into ordinary differential equations by using group theory transformations. The required ordinary differential equations are solved numerically by using implicit finite difference method known as Keller box method. The influence of dimensionless physical parameters on velocity and temperature profile as well as skin friction coefficient and local Nusselt number are presented graphically. Comparison has been made to the previous literature in order to check the accuracy of the method.

scholarly journals Homogeneous-heterogeneous reactions in Williamson fluid model over a stretching cylinder by using Keller box method

AIP Advances ◽  
2015 ◽  
Vol 5 (10) ◽  
pp. 107227 ◽  
Author(s):  
M. Y. Malik ◽  
T. Salahuddin ◽  
Arif Hussain ◽  
S. Bilal ◽  
M. Awais
Keyword(s):  
Fluid Model ◽  
Heterogeneous Reactions ◽  
Stretching Cylinder ◽  
Williamson Fluid ◽  
Keller Box Method ◽  
Box Method

scholarly journals Darcy Forhheimer aspects for CNTs nanofluid past a stretching cylinder; using Keller box method

2018 ◽  
Vol 11 ◽  
pp. 801-816 ◽  
Author(s):  
Zakir Hussain ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi ◽  
Bashir Ahmed
Keyword(s):  
Stretching Cylinder ◽  
Keller Box Method ◽  
Box Method

Stagnation-Point Flow over an Exponentially Shrinking/Stretching Sheet

2011 ◽  
Vol 66 (12) ◽  
pp. 705-711 ◽  
Author(s):  
Sin Wei Wong ◽  
Abu Omar Awang ◽  
Anuar Ishak
Keyword(s):  
Differential Equations ◽  
Stagnation Point ◽  
Stretching Sheet ◽  
Free Stream ◽  
Stagnation Point Flow ◽  
Stream Velocity ◽  
Heat Transfer Characteristics ◽  
Keller Box Method ◽  
Flow And Heat Transfer ◽  
Box Method

The steady two-dimensional stagnation-point flow of an incompressible viscous fluid over an exponentially shrinking/stretching sheet is studied. The shrinking/stretching velocity, the free stream velocity, and the surface temperature are assumed to vary in a power-law form with the distance from the stagnation point. The governing partial differential equations are transformed into a system of ordinary differential equations before being solved numerically by a finite difference scheme known as the Keller-box method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. It is found that dual solutions exist for the shrinking case, while for the stretching case, the solution is unique.

scholarly journals Homotopy Analysis of Carreau Fluid Flow Over a Stretching Cylinder

2021 ◽  
Vol 88 (2) ◽  
pp. 80-92
Author(s):  
Lim Yeou Jiann ◽  
Sharidan Shafie ◽  
Ahmad Qushairi Mohamad ◽  
Noraihan Afiqah Rawi
Keyword(s):  
Nonlinear Differential Equations ◽  
Velocity Profiles ◽  
Weissenberg Number ◽  
Stretching Cylinder ◽  
Series Solutions ◽  
Carreau Fluid ◽  
Keller Box Method ◽  
Highly Nonlinear ◽  
Homotopy Analysis ◽  
Curvature Parameter

Carreau fluid flows past a stretching cylinder is elucidated in the present study. The transformed self-similarity and dimensionless boundary layer equations are solved by using the Homotopy analysis method. A convergence study of the method is illustrated explicitly. Series solutions of the highly nonlinear differential equations are computed and it is very efficient in demonstrating the characteristic of the Carreau fluid. Validation of the series solutions is achieved via comparing with earlier published results. Those results are obtained by using the Keller-Box method. The effects of the Weissenberg number and curvature parameter on the velocity profiles are discussed by graphs and tabular. The velocity curves have shown different behavior in and for an increase of the Weissenberg number. Further, the curvature parameter K does increase the velocity profiles.

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