Hydromagnetic flow at an oscillating plate

Vajravelu, K.; Rivera, Javier

doi:10.1016/s0020-7462(01)00063-4

Cited by 15 publications

(11 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We assume that the induced magnetic field is negligible. This assumption is justified when the magnetic Reynolds number is small, which is generally the case, especially in normal aerodynamic applications [21][22][23][24][25][26][27][28]. Since no external electric field is applied and the effect of polarization of the ionized fluid is negligible, we can also assume that the electric field E = 0.…”

Section: Governing Equationsmentioning

confidence: 99%

“…Now to solve the non-linear ordinary differential equation (23) subject to boundary conditions (24) we apply the homotopy analysis method to give an explicit, uniformly valid and totally analytic solution. Due to the governing equation (23) and boundary conditions (24) we choose u 0 (y) = β 1 sinh my (25) as the initial approximation of u(y), where…”

Section: Plane Couette Flowmentioning

confidence: 99%

“…For this flow the governing dimensionless problem consists of Eq. (41) and boundary condition (24). We choose…”

Section: Generalized Couette Flowmentioning

confidence: 99%

See 2 more Smart Citations

Couette and Poiseuille flows of an Oldroyd 6-constant fluid with magnetic field

Hayat

Khan

Ayub

2004

Journal of Mathematical Analysis and Applications

105

View full text Add to dashboard Cite

In this paper, we develop a set of differential equations describing the steady flow of an Oldroyd 6-constant magnetohydrodynamic fluid. The fluid is electrically conducting in the presence of a uniform transverse magnetic field. The developed non-linear differential equation takes into account the effect of the material constants and the applied magnetic field. We presented the solution for three types of steady flows, namely, (i) Couette flow (ii) Poiseuille flow and (iii) generalized Couette flow.Homotopy analysis method (HAM) is used to solve the non-linear differential equation analytically. It is found from the present analysis that for steady flow the obtained solutions are strongly dependent on the material constants (non-Newtonian parameters) which is different from the model of Oldroyd 3-constant fluid. Numerical solutions are also given and compared with the solutions by HAM.  2004 Elsevier Inc. All rights reserved.

show abstract

Section: Governing Equationsmentioning

confidence: 99%

Section: Plane Couette Flowmentioning

confidence: 99%

See 1 more Smart Citation

Couette and Poiseuille flows of an Oldroyd 6-constant fluid with magnetic field

Hayat

Khan

Ayub

2004

Journal of Mathematical Analysis and Applications

105

View full text Add to dashboard Cite

show abstract

“…Erdogan [8] analyzed the unsteady flow of viscous fluid due to an oscillating plane wall by using Laplace transform technique. Vajravelu and Rivera [21] discussed the hydromagnetic flow at an oscillating plate. Much work has been published on the flow of fluid over an oscillating plate for different constitutive models (Erdogan, [7]; ZengandWeinbaum, [22]; Puri and Kythe, [15]; Asghar et al, [2]; Ibrahem et al, [12].…”

Section: Introductionmentioning

confidence: 99%

Thermal effects in Stokes’ Second Problem for Unsteady Second Grade Fluid Flow through Porous Medium

Reddy¹,

Rama²,

Reddy³

2014

IOSRJM

View full text Add to dashboard Cite

“…Erdogan [10] have analyzed the unsteady flow of viscous fluid due to an oscillating plane wall by using Laplace transform technique. Vajravelu and Rivera [27] discussed the hydromagnetic flow at an oscillating plate. Recently, Reddappa et al [21] There has been an increase in interest in the effect of porous media, because of their extensive practical applications in geophysics, thermal insulation in buildings, petroleum resources, packed-bed reactors and sensible heat-storage beds.…”

Section: Introductionmentioning

confidence: 99%