Magnetofluiddynamic flow with a pressure gradient and fluid injection

Cobble, M.H.

doi:10.1007/bf01535969

Cited by 36 publications

(12 citation statements)

References 2 publications

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“…The velocity components are represented by u and v in the coordinates along and normal to the body surface, x and y directions, respectively. The external velocity distribution is given by u ∞ (x) = U ∞ x m and the imposed external transverse magnetic field by B(x) = B 0 x (m−1)/2 , where B 0 > 0, U ∞ and m are constants [9]. The continuity and momentum equations are given by ∂u ∂x…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The complex nature of the boundary layer flow under the influence of a magnetic field with the induced magnetic field was considered numerically by Cobble [9] and Soundalgekar et al [19] for Newtonian media. The MHD flow of a non-Newtonian power-law fluid was studied by constant transverse magnetic field over steady surface by Djukic [11] and Chiam [8].…”

Section: Introductionmentioning

confidence: 99%

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On similarity solutions of MHD flow over a nonlinear stretching surface in non-Newtonian power-law fluid

Bognár¹

2016

Proceedings of the 10'th Colloquium on the Qualitative Theory of Differential Equations (July 1–4, 2015, Szeged, Hungary) Edite

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Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On similarity solutions of MHD flow over a nonlinear stretching surface in non-Newtonian power-law fluid

Bognár¹

2016

Proceedings of the 10'th Colloquium on the Qualitative Theory of Differential Equations (July 1–4, 2015, Szeged, Hungary) Edite

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“…Another application of hydromagnetics to metallurgy lies in the purification of molten metals from non-metallic inclusions (Vajravelu and Hadjinicolaou [42]). Cobble [15] obtained similarity solutions for hydromagnetic flow over a semi-infinite plate with suction and injection at the wall. Soundalgekar and Murty [37] had considered the thermal problem of Cobble, [15].…”

Section: Introductionmentioning

confidence: 99%

“…Cobble [15] obtained similarity solutions for hydromagnetic flow over a semi-infinite plate with suction and injection at the wall. Soundalgekar and Murty [37] had considered the thermal problem of Cobble, [15]. Chandran et al [11] made extensions to the above works and considered flow of an electrically-conducting fluid over a semi-infinite plate with suction and injection.…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer from MHD Flow over a Moving Permeable Cylinder with Heat Generation or Absorption and Chemical Reaction

Chamkha¹

2011

Communications in Numerical Analysis

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General boundary-layer equations governing steady, laminar, hydromagnetic flow and heat and mass transfer over a permeable cylinder moving with a linear velocity in the presence of heat generation/absorption, chemical reaction, suction/injection effects and uniform transverse magnetic field are developed. A similarity transformation is used to transform the governing partial differential equations into ordinary differential equations. The dimensionless self-similar equations are then solved numerically by using a standard fully implicit, iterative, tri-diagonal finite-difference method. Comparisons with previously published work on various special cases of the problem are performed and the results are found to be in excellent agreement. A parametric study of the physical parameters involved in the problem is conducted and a representative set of numerical results is illustrated graphically and in tabular form.

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“…Cobble [5] determined a solution for a Newtonian fluid in 1977 using similarity. Similarity problems in fluid flow have been extensively analyzed by Ames [6] and Hansen [7].…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic flow for a non-Newtonian power-law fluid having a pressure gradient and fluid injection

Cobble

1980

J Eng Math

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The nonlinear partial differential equation of motion for an incompressible, non-Newtonian power-law fluid flowing over flat plate under the influence of a magnetic field and a pressure gradient, and with or without fluid injection or ejection, is transformed to a nonlinear third-order ordinary differential equation by using a stream function and a similarity transformation.The necessary boundary conditions are developed for flow with and without fluid injection (or ejection), and a solution for four different power-law fluids, including a Newtonian fluid, is presented.The controlling equation includes, as special cases, the Falkner-Skan equation and the Blasius equation.

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Magnetofluiddynamic flow with a pressure gradient and fluid injection

Cited by 36 publications

References 2 publications

On similarity solutions of MHD flow over a nonlinear stretching surface in non-Newtonian power-law fluid

On similarity solutions of MHD flow over a nonlinear stretching surface in non-Newtonian power-law fluid

Heat and Mass Transfer from MHD Flow over a Moving Permeable Cylinder with Heat Generation or Absorption and Chemical Reaction

Magnetohydrodynamic flow for a non-Newtonian power-law fluid having a pressure gradient and fluid injection

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