Untitled

Weidman, P. D.; Mahalingam, Shankar

doi:10.1023/a:1004211515780

Cited by 32 publications

(3 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The nonlinear boundary value problem given by Equations (8), (11) and (12) with boundary conditions (13), i.e., stretching velocity more than the straining velocity. It can be viewed that horizontal velocity decreases with increase in Hartmann Number H. It is interesting that the flow has inverted boundary layer structure because of stretching velocity cx exceeds the velocity of external stream ax (i.e.…”

Section: Resultsmentioning

confidence: 99%

“…An approximate solution to the problem of uniform suction is given by Ariel [10]. The effect of uniform suction on the Homann problem where the flat plate oscillates in its own plane is considered by Weidman and Mahalingam [11]. The effect of uniform suction or injection on the two-or three-dimensional stagnation-point flow of a conducting fluid was given by Attia [12] [13] in the presence of an externally applied uniform magnetic field.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analytic Solution of MHD Stagnation Point Flow over a Stretching Permeable Surface with Effects of Viscous Dissipation and Joule Heating

Panigrahi¹,

Reza²

2014

ENG

View full text Add to dashboard Cite

A mathematical analysis is investigated to obtain an analytic solution of magneto hydrodynamic stagnation-point flow towards permeable stretching surface with viscous dissipation and joule heating. In the presence of uniform suction, a transverse magnetic field normal to the surface is applied when the surface is stretched in its own plane with a velocity proportional to the distance from the stagnation-point. The governing nonlinear momentum and energy equations are solved by homotopy analysis method (HAM) to obtain the complete analytic solution and a good agreement is found. The convergence region shows the validity of the HAM solutions. It is observed that the velocity at a point increases/decreases more with increase in the magnetic parameter when the free stream velocity is greater/less than the stretching velocity in presence of suction. An interesting result of the analysis is that, in the presence of suction parameter, the temperature increases with the increase in magnetic parameter at a certain distance from the stretching surface. Near stagnation point on the surface, heat flows from the surface to the fluid and far from the stagnation-point, heat flows from the fluid to surface due to combining effect of ohmic dissipation and strain energy inside the boundary layer.

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytic Solution of MHD Stagnation Point Flow over a Stretching Permeable Surface with Effects of Viscous Dissipation and Joule Heating

Panigrahi¹,

Reza²

2014

ENG

View full text Add to dashboard Cite

show abstract

“…An approximate solution to the problem of uniform suction is given by Ariel [5]. The effect of uniform suction on the Homann problem, where the flat plate is oscillating in its own plane is considered by Weidman and Mahalingam [6]. In hydromagnetics, the problem of Hiemenz flow was chosen by Na [7] to illustrate the solution of a third-order boundary-value problem using the technique of finite differences.…”

Section: Introductionmentioning

confidence: 99%

Homann magnetic flow and heat transfer with uniform suction or injection

Attia¹

2003

Can. J. Phys.

View full text Add to dashboard Cite

The steady axisymmetric flow of an incompressible viscous electrically conducting fluid impinging on a permeable flat plate with heat transfer is investigated. An external uniform magnetic field as well as a uniform suction or injection are applied normal to the plate, which is maintained at a constant temperature. Numerical solutions for the governing momentum and energy equations are obtained. The effect of the magnetic field and the uniform suction or injection on both the flow and heat transfer is presented and discussed. PACS Nos.: 47.50, 47.15 Résumé : Nous étudions le flot constant axisymétrique d'un fluide visqueux incompressible et électriquement conducteur incident sur une surface plane perméable permettant les échanges de chaleur. Un champ magnétique extérieur est présent, alors qu'injection et vidange par succion se font dans une direction perpendiculaire à la plaque qui est gardée à température constante. Nous solitionnons numériquement les équations pour le moment et l'énergie du fluide. Nous évaluons et discutons les effets du champ magnétique, de l'injection et de la succion.[Traduit par la Rédaction]

show abstract

Stagnation slip flow and heat transfer over a nonlinear stretching sheet

Abbas

Hayat

2011

Numerical Methods Partial

View full text Add to dashboard Cite

Stagnation slip flow and heat transfer characteristics of a viscous fluid over a nonlinear stretching surface has been investigated. The governing partial differential equations are transformed to nonlinear ordinary differential equations using similarity transformations. The analytical solution of the nonlinear system is obtained in series form using the very efficient homotopy analysis method (HAM). Convergence of the series solution is shown explicitly. Important features of flow and heat transfer characteristics are plotted and discussed. Comparison is made with existing numerical results when the stagnation-point and slip effects are excluded.

show abstract

Untitled

Cited by 32 publications

References 18 publications

Analytic Solution of MHD Stagnation Point Flow over a Stretching Permeable Surface with Effects of Viscous Dissipation and Joule Heating

Analytic Solution of MHD Stagnation Point Flow over a Stretching Permeable Surface with Effects of Viscous Dissipation and Joule Heating

Homann magnetic flow and heat transfer with uniform suction or injection

Stagnation slip flow and heat transfer over a nonlinear stretching sheet

Contact Info

Product

Resources

About