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 of a dusty fluid in a porous medium over a stretching sheet with slip effect

2017 ◽  
Vol 13 (3) ◽  
Author(s):  
Noorzehan Fazahiyah Md Shab ◽  
Anati Ali
Keyword(s):  
Boundary Layer ◽  
Porous Medium ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Particle Interaction ◽  
Velocity Slip ◽  
Physical Parameters ◽  
Dusty Fluid ◽  
Linear Ordinary Differential Equations ◽  
Layer Flow

This paper investigated the problem of hydromagnetic boundary layer flow and heat transfer of a dusty fluid over a stretching sheet through a porous medium. The velocity slip was considered instead of the no-slip condition at the boundary. The governing partial equations were reduced into a set of non-linear ordinary differential equations by using the suitable similarity transformation. The transformed equations were numerically integrated using bvp4c in Matlab. The effects of various physical parameters on the velocity and temperature profiles of both phases, such as fluid-particle interaction parameter, magnetic parameter, mass concentration parameter, porosity parameter and Prandtl number were obtained and analyzed through several plots. Useful discussions were carried out with the help of plotted graphs and tables. Under the limiting cases, the obtained numerical results were compared and found to be in good agreement with previously published results.

scholarly journals A boundary layer flow analysis of a magnetohydrodynamic fluid over a shrinking sheet

2019 ◽  
Vol 11 (3) ◽  
pp. 168781401983506 ◽  
Author(s):  
Cheng-Hsing Hsu ◽  
Te-Hui Tsai ◽  
Ching-Chuan Chang ◽  
Wen-Han Huang
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Differential Equations ◽  
Boundary Layer Flow ◽  
Flow Analysis ◽  
Shear Thickening ◽  
Transformation Method ◽  
Skin Friction Coefficient ◽  
Shrinking Sheet ◽  
Layer Flow

A steady-state boundary layer flow analysis of a non-Newtonian magnetic fluid over a shrinking sheet was studied. The boundary layer thickness and the velocity distribution in the layer were studied under the conditions of a uniform magnetic field normal to the shrinking sheet and/or a vertical uniform mass suction across the sheet. The similarity transformation method was used to transform the governing partial differential equations to ordinary differential equations. The shooting method with Newton’s algorithm and Runge–Kutta integration method were used to obtain the solutions of the equations. The results showed that the variation of the flow velocity profiles in the boundary layer was significant, the thickness of the boundary layer was thinner, and the skin friction coefficient was bigger for either shear thinning or shear thickening magnetic fluids under the conditions of a stronger magnetic field or a larger mass suction effect.

Unsteady Boundary Layer Flow and Convective Heat Transfer of a Fluid Particle Suspension with Nanoparticles over a Stretching Surface

2017 ◽  
Vol 1 (2) ◽  
Author(s):  
B. C. Prasannakumara ◽  
B. J. Gireesha ◽  
M. R. Krishnamurthy ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Fluid Particle ◽  
Dust Particles ◽  
Particle Suspension ◽  
Temperature Profiles ◽  
Stretching Surface ◽  
Layer Flow ◽  
Fluid Particle Suspension

AbstractWe analyzed the effects of Biot number and non-uniform heat source/sink on boundary layer flow and nonlinear radiative heat transfer of fluid particle suspension over an unsteady stretching surface embedded in a porous medium with nanoparticles. We considered conducting dust particles embedded with -water nanopartcles. The governing equations are transformed into nonlinear ordinary differential equations by using local similarity transformations and solved numerically using Runge–Kutta-Fehlberg-45 order method along with shooting technique. The effects of non-dimensional parameters on velocity and temperature profiles for fluid phase and dust phase are discussed and presented through graphs. Also, friction factor and Nusselt number are discussed and presented through graphs. Comparisons of the present study were made with existing studies under some special assumptions. The present results have an excellent agreement with existing studies. Results indicated that the enhancement in fluid particle interaction parameter increases the heat transfer rate and depreciates the wall friction. Also, radiation parameter has the tendency to increase the temperature profiles of the dusty nanofluid.

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 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.  

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