Unsteady mixed convection flow from a rotating vertical cone with a magnetic field

Takhar, H. S.; Chamkha, Ali J.; Nath, G.

doi:10.1007/s00231-002-0400-1

Cited by 153 publications

(66 citation statements)

References 17 publications

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“…It should be mentioned that the Eqs. (8)- (12) in the absence of all of the magnetic field (M = 0), buoyancy ratio (N = 0) and permability of porous medium (Da −1 = 0) are identical to those of Hering and Grosh (24).…”

Section: Formulation Of the Problemmentioning

confidence: 63%

“…The results of this parametric study are shown in Figs. 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24. Figures 2, 3, 4, 5, 6 show the effect of the porosity parameter ε on the tangential velocity F, and azimuthal (circumferential) velocity G and normal velocity H, temperature θ and concentration profiles φ, respectively, past a rotating vertical cone.…”

Section: Resultsmentioning

confidence: 96%

“…(8)-(11) with boundary conditions (12) are solved by using shooting method that uses Runge-kutta method and Newton's method. In this first the Eqs.…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…Chamkha [11] considered the hydromagnetic combined convection of power-law fluid along an isothermal rotating cone or disks embedded in porous medium. Takhar et al [12] studied the unsteady mixed convection flow over a vertical cone rotating in an ambient fluid with a time-dependent angular velocity. Roy and Anilkumar [13] considered the heat and mass transfer by unsteady mixed convection from a rotating cone in a rotating fluid.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Chemical reaction effects on MHD convective heat and mass transfer flow past a rotating vertical cone embedded in a variable porosity regime

et al. 2015

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An analysis is carried out to study the coupled heat and mass transfer by mixed convection flow of a Newtonian fluid past a rotating vertical cone embedded in a porous medium in the presence of a magnetic field and chemical reaction effects. The cone surface is maintained at variable temperature and concentration. Similarity transformation is employed to transform the governing partial differential equations into a set of nonlinear ordinary differential equations, which are then solved numerically using shooting method that uses Runge-Kutta and Newton's method. Comparisons with previously published work are performed and results are found to be in excellent agreement. Numerical Results for the velocities, temperature, concentration profiles, as well as local tangential and azimuthal skin friction coefficients, local Nusselt and Sherwood numbers are presented graphically and discussed for different values of the governing parameters to show interesting features of the solutions. This type of study finds significant applications in cooling of electric circuits, packed-bed chemical reactors, solar porous wafer absorber systems, synthesis materials and hygroscopic materials.

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Section: Formulation Of the Problemmentioning

confidence: 63%

Section: Resultsmentioning

confidence: 96%

“…(8)-(11) with boundary conditions (12) are solved by using shooting method that uses Runge-kutta method and Newton's method. In this first the Eqs.…”

Section: Methods Of Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Chemical reaction effects on MHD convective heat and mass transfer flow past a rotating vertical cone embedded in a variable porosity regime

et al. 2015

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“…Benton (1966) extended Cochran's work to the initial value problem governing flow induced by an impulsively started disk. Takhar et al (2003) investigated the effect of a magnetic field on unsteady mixed convection flow from a rotating vertical cone. Maleque et al (2005) studied fully developed laminar flow of a viscous fluid with variable properties.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic axisymmetric flow of a third-grade fluid between two porous disks

Shafiq

Nawaz

Hayat

et al. 2013

Braz. J. Chem. Eng.

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-This paper investigates magnetohydrodynamic axisymmetric flow of a third-grade fluid between two porous disks. The governing partial differential equations are transformed into ordinary differential equations by similarity transformations. The resulting non-linear problem is solved by a homotopy analysis method (HAM). The effects of dimensionless parameters on the radial and axial components of the velocity are illustrated through plots. The skin-friction coefficients at the upper and lower disks are tabulated for various values of the dimensionless physical parameters.

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Unsteady heat and mass transfer by MHD mixed convection flow from a rotating vertical cone with chemical reaction and Soret and Dufour effects

2013

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This work focused on the study of Soret and Dufour effects on unsteady coupled heat and mass transfer by mixed convection flow over a vertical cone rotating in an ambient fluid with a time‐dependent angular velocity in the presence of a magnetic field and chemical reaction. The cone surface is maintained at variable temperature and concentration. The resulting governing equations are non‐dimensionalised and transformed into a non‐similar form and then solved numerically by an implicit, iterative, finite‐difference method. Comparisons with previously published work are performed and excellent agreement is obtained. A parametric study showing the effects of the buoyancy parameter, magnetic field, chemical reaction parameter, Soret and Dufour numbers on the local tangential and azimuthal skin friction coefficients, and the local Nusselt and Sherwood numbers are conducted. These results are illustrated graphically to depict special features of the solutions.

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Unsteady mixed convection flow from a rotating vertical cone with a magnetic field

Cited by 153 publications

References 17 publications

Chemical reaction effects on MHD convective heat and mass transfer flow past a rotating vertical cone embedded in a variable porosity regime

Chemical reaction effects on MHD convective heat and mass transfer flow past a rotating vertical cone embedded in a variable porosity regime

Magnetohydrodynamic axisymmetric flow of a third-grade fluid between two porous disks

Unsteady heat and mass transfer by MHD mixed convection flow from a rotating vertical cone with chemical reaction and Soret and Dufour effects

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