Series solutions of unsteady magnetohydrodynamic flows of non-Newtonian fluids caused by an impulsively stretching plate

Xu, Hang; Liao, Shijun

doi:10.1016/j.jnnfm.2005.05.005

Cited by 145 publications

(83 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since the pioneering work of Sakiadis [1] which studied the moving plate flow problem, wherein various aspects of the problem have been investigated by many authors such as Cortell [2], Xu and Liao [3], Hayat et al [4] etc.…”

Section: Introductionmentioning

confidence: 99%

MHD Flow, and Heat Transfer with Effects of Buoyancy, Viscous and Joules Dissipation over a Nonlinear Vertical Stretching Porous Sheet with Partial Slip

Subhas¹,

Anant²,

Ravikumara³

2011

ENG

View full text Add to dashboard Cite

In this paper, the problem of steady laminar two-dimensional boundary layer MHD flow and heat transfer of an incompressible viscous fluid with the presence of buoyancy force and viscous dissipation over an vertical nonlinear stretching sheet with partial slip is investigated numerically. Numerical solutions of the resulting nonlinear boundary value problem in the case when the sheet stretches with a velocity varying nonlinearly with the distance is carried out. The effects of for various values of suction parameter, magnetic parameter, Prandtl number, Eckert number, buoyancy parameter, nonlinear stretching parameter and slip parameter on flow and heat transfer characteristics is investigated.

show abstract

Section: Introductionmentioning

confidence: 99%

MHD Flow, and Heat Transfer with Effects of Buoyancy, Viscous and Joules Dissipation over a Nonlinear Vertical Stretching Porous Sheet with Partial Slip

Subhas¹,

Anant²,

Ravikumara³

2011

ENG

View full text Add to dashboard Cite

show abstract

“…The induced magnetic field is negligible and the Hall effects are taken into account. Analytic solution of the velocity and temperature are constructed by a homotopy analysis method (HAM) [10][11][12][13][14][15].The obtained results reveal that HAM is very effective and simple. Some most recent studies involving HAM may be mentioned through the investigations [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

The influence of Hall current and heat transfer on the flow of a fourth grade fluid

Hayat

Maqbool

Asghar

2010

Numerical Methods Partial

View full text Add to dashboard Cite

In this article, a mathematical model is analyzed to investigate the effects of Hall current and heat transfer on the flow of a fourth grade fluid between two heated and rotating disks. The corresponding problem of velocity and temperature are solved analytically by homotopy analysis method. Comparison is given between the results of velocity in fourth grade, third grade, second grade, and viscous fluids. The variation of pertinent parameters are graphed and discussed.

show abstract

“…This problem has later been extensively studied in various directions including Newtonian and non-Newtonian fluids, porous and nonporous space and hydrodynamic and magnetohydrodynamic (MHD) fluids. Some interesting recent investigations is mentioned in the references [3][4][5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Analytic solution for axisymmetric flow over a nonlinearly stretching sheet

et al. 2007

View full text Add to dashboard Cite

An analysis is performed for the boundary-layer flow of a viscous fluid over a nonlinear axisymmetric stretching sheet. By introducing new nonlinear similarity transformations, the partial differential equations governing the flow are reduced to an ordinary differential equation. The resulting ordinary differential equation is solved using the homotopy analysis method (HAM). Analytic solution is given in the form of an infinite series. Convergence of the obtained series solution is explicitly established. The solution for an axisymmetric linear stretching sheet is obtained as a special case.

show abstract

Series solutions of unsteady magnetohydrodynamic flows of non-Newtonian fluids caused by an impulsively stretching plate

Cited by 145 publications

References 37 publications

MHD Flow, and Heat Transfer with Effects of Buoyancy, Viscous and Joules Dissipation over a Nonlinear Vertical Stretching Porous Sheet with Partial Slip

MHD Flow, and Heat Transfer with Effects of Buoyancy, Viscous and Joules Dissipation over a Nonlinear Vertical Stretching Porous Sheet with Partial Slip

The influence of Hall current and heat transfer on the flow of a fourth grade fluid

Analytic solution for axisymmetric flow over a nonlinearly stretching sheet

Contact Info

Product

Resources

About