MHD axisymmetric flow of third grade fluid between porous disks with heat transfer

Hayat, Tasawar; Shafiq, Anum; Nawaz, M.; Alsaedi, Ahmed

doi:10.1007/s10483-012-1584-9

Cited by 55 publications

(29 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The z-axis is taken along the stretching cylinder and the r-axis is normal to it. The governing continuity and momentum equations under the boundary layer approximation are as follows [18]:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

See 1 more Smart Citation

MHD axisymmetric flow of third grade fluid by a stretching cylinder

Hayat

Shafiq

Alsaedi

2015

Alexandria Engineering Journal

Self Cite

118

View full text Add to dashboard Cite

This work is focused on the analytic solution of steady boundary layer axisymmetric flow of third-grade fluid over a continuously stretching cylinder in the presence of magnetic field. Suitable transformations are considered to reduce the partial differential equation into the ordinary differential equation. The obtained non-linear differential system is solved by homotopy analysis method (HAM). The effects of the emerging parameters such as third-grade parameter, secondgrade parameters and Reynolds number on the velocity are displayed and discussed. The expression of skin-friction coefficient is computed and presented. It is found that velocity and momentum boundary layer thickness are increasing functions of curvature parameter. Velocity profile is higher for third-grade fluid when compared with Newtonian and second-grade fluids with and without MHD effects for the cases (i) stretching cylinder and (ii) flat plate. ª 2015 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

show abstract

Section: Formulation Of the Problemmentioning

confidence: 99%

“…This paper is organized as follows. After formulation the arising nonlinear problem is analytically solved using homotopy analysis method (HAM) [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] which is a novel technique. The behavior of dimensionless parameter convergence is checked.…”

Section: Introductionmentioning

confidence: 99%

MHD axisymmetric flow of third grade fluid by a stretching cylinder

Hayat

Shafiq

Alsaedi

2015

Alexandria Engineering Journal

Self Cite

118

View full text Add to dashboard Cite

show abstract

“…The relevant flow problems are formulated and solved by homotopy analysis method (HAM). [24][25][26][27][28][29][30][31][32][33][34][35][36] The effects of various parameters on the velocity and temperature fields are discussed.…”

Section: Introductionmentioning

confidence: 99%

Marangoni mixed convection flow with Joule heating and nonlinear radiation

et al. 2015

View full text Add to dashboard Cite

Marangoni mixed convective flow of Casson fluid in a thermally stratified medium is addressed. Flow analysis has been carried out in presence of inclined magnetic field. Heat transfer analysis is discussed in the presence of viscous dissipation, Joule heating and nonlinear thermal radiation. The governing nonlinear partial differential equations are first converted into ordinary differential systems and then developed the convergent series solutions. Flow pattern with the influence of pertinent parameters namely the magnetic parameter, Casson fluid parameter, temperature ratio parameter, stratification parameter, Prandtl number, Eckert number and radiation parameter is investigated. Expression of local Nusselt number is computed and analyzed. It is found that the Nusselt number decreases by increasing magnetic parameter, temperature ratio parameter, angle of inclination and stratification parameter. Moreover the effect of buoyancy parameter on the velocity distribution is opposite in both the opposing and assisting flow phenomena. Thermal field and associated layer thickness are enhanced for larger radiation parameter.

show abstract

“…The solutions are obtain using Homotopy analysis method. Hayat et al 9 studied the heat transfer analysis in MHD axisymmetric flow of a third grade fluid between disks. Zheng et al 10 discussed the MHD over an unsteady stretching sheet with heat transfer effects.…”

Section: Introductionmentioning

confidence: 99%

MHD flow of a micropolar fluid over a stretchable disk in a porous medium with heat and mass transfer

et al. 2015

View full text Add to dashboard Cite

This article studies the simultaneous impacts of heat and mass transfer of an incompressible electrically conducting micropolar fluid generated by the stretchable disk in presence of porous medium. The thermal radiation effect is accounted via Rosseland’s approximation. The governing boundary layer equations are reduced into dimensionless form by employing the suitable similarity transformations. A finite difference base algorithm is utilized to obtain the solution expressions. The impacts of physical parameters on dimensionless axial velocity, radial velocity, micro-rotation, temperature and concentrations profiles are presented and examined carefully. Numerical computation is performed to compute shear stress, couple stress, heat and mass rate at the disk.

show abstract

MHD axisymmetric flow of third grade fluid between porous disks with heat transfer

Cited by 55 publications

References 31 publications

MHD axisymmetric flow of third grade fluid by a stretching cylinder

MHD axisymmetric flow of third grade fluid by a stretching cylinder

Marangoni mixed convection flow with Joule heating and nonlinear radiation

MHD flow of a micropolar fluid over a stretchable disk in a porous medium with heat and mass transfer

Contact Info

Product

Resources

About