scholarly journals Boundary Layer Flow Past a Wedge Moving in a Nanofluid

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Waqar A. Khan ◽  
I. Pop
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Boundary Layer Flow ◽  
Lewis Number ◽  
Stream Velocity ◽  
Inviscid Fluid ◽  
Stretching Surface ◽  
Flow Past ◽  
Implicit Finite Difference ◽  
Layer Flow

The problem of steady boundary layer flow past a stretching wedge with the velocityuw(x)in a nanofluid and with a parallel free stream velocityue(x)is numerically studied. It is assumed that at the stretching surface the temperatureTand the nanoparticle fractionCtake the constant valuesTwandCw, respectively. The ambient values (inviscid fluid) ofTandCare denoted byT∞andC∞, respectively. The boundary layer governing partial differential equations of mass, momentum, thermal energy, and nanoparticles recently proposed by Kuznetsov and Nield (2006, 2009), are reduced to ordinary differential equations along with the corresponding boundary conditions. These equations are solved numerically using an implicit finite-difference method for some values of the governing parameters, such asβ,λ,Pr,Le,Nb, andNt, which are the measure of the pressure gradient, moving parameter, Prandtl number, Lewis number, the Brownian motion parameter, and the thermophoresis parameter, respectively.

scholarly journals Dufour and radiation effect on MHD boundary layer flow past a wedge through porous medium with heat source and chemical reaction

2015 ◽  
Vol 11 (4) ◽  
pp. 5094-5107
Author(s):  
Hadibandhu Pattnayak ◽  
Rojali Mohapatra
Keyword(s):  
Boundary Layer ◽  
Chemical Reaction ◽  
Heat Generation ◽  
Boundary Layer Flow ◽  
Stream Velocity ◽  
Physical Parameters ◽  
Flow Past ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Mhd Boundary Layer Flow

Magnetohydrodynamics (MHD) boundary layer flow past a wedge with the influence of thermal radiation, heat generation and chemical reaction has been analyzed in the present study. This model used for the momentum, temperature and concentration fields. The principal governing equations is based on the velocity  in a nanofluid and with a parallel free stream velocity and surface temperature and concentration. The governing nonlinear boundary layer equations for momentum, thermal energy and concentration are transformed to a system of nonlinear ordinary coupled differential equations by using suitable similarity transformation with fitting boundary conditions. The transmuted model is shown to be controlled by a number of thermo-physical parameters, viz. the magnetic parameter, buoyancy parameter, radiation conduction parameter, heat generation parameter, Porosity parameter, Dufour number, Prandtl number, Lewis number, Brownian motion parameter, thermophoresis parameter, chemical reaction parameter and pressure gradient parameter. Numerical elucidations are obtained with the legendary Nactsheim-Swigert shooting technique together with RungeKutta six order iteration schemes.

Soret and Dufour Effects on MHD Boundary Layer Flow Past a Stretching Plate

2016 ◽  
Vol 22 ◽  
pp. 22-32 ◽  
Author(s):  
B. Nagabhushnam Reddy ◽  
S. Vijaya Kumar Varma ◽  
B. Rushi Kumar
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Boundary Layer Flow ◽  
Skin Friction Coefficient ◽  
Numerical Results ◽  
Soret And Dufour Effects ◽  
Flow Past ◽  
Layer Flow ◽  
Stretching Plate ◽  
Dufour Number

The Soret and Dufour on magnetohydrodynamic (MHD) laminar boundary layer flow past stretching plate with heat and mass transfer are studied. The governing partial differential equations are transformed into ordinary differential equations before being solved numerically by a fourth order Runga-Kutta method along with shooting technique. Numerical results are obtained for the skin-friction coefficient, the local Nusselt number and local Sherwood number as well as the velocity, temperature and concentration profiles for different values of the governing parameters, namely, the magnetic parameter, Soret number, Dufour number, Schmidt number and Prandtl number. The numerical results are compared to those of an earlier study and found to be in excellent agreement.

Suspended Particle Effect on Nanofluid Boundary Layer Flow Past a Stretching Surface

2014 ◽  
Vol 3 (3) ◽  
pp. 267-277 ◽  
Author(s):  
B. J. Gireesha ◽  
B. Mahanthesh ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Suspended Particle ◽  
Stretching Surface ◽  
Particle Effect ◽  
Flow Past ◽  
Layer Flow

scholarly journals An Exact Solution of MHD Boundary Layer Flow of Dusty Fluid over a Stretching Surface

2017 ◽  
Vol 2017 ◽  
pp. 1-5 ◽  
Author(s):  
Mudassar Jalil ◽  
Saleem Asghar ◽  
Shagufta Yasmeen
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Analytical Solution ◽  
Differential Equations ◽  
Boundary Layer Flow ◽  
Particle Interaction ◽  
Dust Particles ◽  
Stretching Surface ◽  
Dusty Fluid ◽  
Layer Flow

This paper deals with the boundary layer flow of electrically conducting dusty fluid over a stretching surface in the presence of applied magnetic field. The governing partial differential equations of the problem are transformed to nonlinear nondimensional coupled ordinary differential equations using suitable similarity transformations. The problem is now fully specified in terms of characterizing parameters known as fluid particle interaction parameter, magnetic field parameter, and mass concentration of dust particles. An exact analytical solution of the resulting boundary value problem is presented that works for all values of the characterizing parameters. The effects of these parameters on the velocity field and the skin friction coefficient are presented graphically and in the tabular form, respectively. We emphasize that an approximate numerical solution of this problem was available in the literature but no analytical solution was presented before this study.

scholarly journals Hydromagnetic Boundary Layer Flow and Heat Transfer Characteristics of a Nanofluid over an Inclined Stretching Surface in the Presence of a Convective Surface: A Comprehensive Study

2015 ◽  
Vol 19 (2) ◽  
pp. 53 ◽  
Author(s):  
Mohammad M. Rahman ◽  
Mohammed M. Al-Hatmi
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Differential Equations ◽  
Boundary Layer Flow ◽  
Base Fluid ◽  
Stretching Surface ◽  
Heat Transfer Characteristics ◽  
Transfer Characteristics ◽  
Flow And Heat Transfer ◽  
Layer Flow

In this paper we investigate numerically the hydromagnetic boundary layer flow and heat transfer characteristics of a nanofluid using three types of nanoparticles (copper, aluminium oxide and titanium dioxide) having various shapes (spherical, cylindrical, arbitrary, etc) by considering three kinds of base fluids (water, ethylene glycol and engine oil) over a nonlinear inclined stretching surface, taking into account the effect of convective surface condition. Using similarity transformations, the governing nonlinear partial differential equations of the physical model are transformed into non-dimensional ordinary differential equations which are solved for local similar solutions using the very robust computer algebra software, Maple 13. The numerical simulation is carried out to investigate the role of the pertinent parameters on the flow and temperature fields as well as on the rate of heat transfer and on the rate of shear stress. The results show that the addition of nanoparticles to the base fluid may not always increase the rate of heat transfer. It depends significantly on the surface convection, type of base fluid and nanoparticles.  The finding of this study will open a gate for better understanding of nanofluid characteristics.  

NATURAL CONVECTION BOUNDARY LAYER FLOW PAST A FLAT PLATE OF FINITE DIMENSIONS

2012 ◽  
Vol 15 (6) ◽  
pp. 585-593
Author(s):  
M. Jana ◽  
S. Das ◽  
S. L. Maji ◽  
Rabindra N. Jana ◽  
S. K. Ghosh
Keyword(s):  
Boundary Layer ◽  
Natural Convection ◽  
Flat Plate ◽  
Boundary Layer Flow ◽  
Convection Boundary Layer ◽  
Flow Past ◽  
Convection Boundary ◽  
Layer Flow
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