Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction

Yazdi, M. H.; Abdullah, Shahrir; Hashim, Ishak; Sopian, Kamaruzzaman

doi:10.1016/j.ijheatmasstransfer.2011.04.009

Cited by 83 publications

(48 citation statements)

References 31 publications

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“…The set of highly non-linear differential equations (17)- (19) together with the boundary conditions (20) are solved numerically by using a fourth order Runge-Kutta method and Shooting techniques with a systematic guessing of f ′ (0), θ ′ (0) and ϕ ′ (0). The computations were done by a program which uses a symbolic and computational computer language MATHEMATICA.…”

Section: Methodsmentioning

confidence: 99%

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Nanofluid Flow over a Stretching Surface in Presence of Chemical Reaction and Thermal Radiation: An Application of Lie Group Transformation

Das¹,

Sarkar²,

Kumar³

2017

J. Sib. Fed. Univ., Math. phys.

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This paper concerns with a steady MHD boundary layer flow of an electrically conducting nanofluid over a vertical permeable stretching surface with variable stream conditions. The transport model includes the effect of Brownian motion with thermophoresis in presence of chemical reaction and thermal radiation. The group theoretic method is used to find the symmetries of the governing partial differential equations. The reduced equations are solved numerically by employing a fourth order Runge-Kutta method and Shooting techniques to predict the heat and mass transfer characteristics of the nanofluid flow. Numerical results are presented through graphs and tables for several sets of values of the involved parameters of the problem and discussed in details from the physical point of view.

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Section: Methodsmentioning

confidence: 99%

“…Patil and Kulkarni [18] considered the effects of chemical reaction on free convection flow of a polar fluid through a porous medium in the presence of internal heat generation. The problems involving chemical reactions in a nanofluid flow can be found in the studies of Kandasamy et al [19], Yazdi et al [20] and Kandasamy et al [21].…”

Section: Introductionmentioning

confidence: 99%

Nanofluid Flow over a Stretching Surface in Presence of Chemical Reaction and Thermal Radiation: An Application of Lie Group Transformation

Das¹,

Sarkar²,

Kumar³

2017

J. Sib. Fed. Univ., Math. phys.

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“…The application of the magnetic eld produces a Lorentz force that increase the mixing processes as an active micro mixing mechanism. The transport system of conductive biological uids in the micro systems will be bene tted from research [23]. The simultaneous occurrence of buoyancy and magnetic eld forces on uid ow were investigated by many researchers [24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Unsteady mixed convection flow through a permeable stretching flat surface with partial slip effects through MHD nanofluid using spectral relaxation method

2017

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An unsteady, laminar, mixed convective stagnation point nano uid ow through a permeable stretching at surface using internal heat source or sink and partial slip is investigated. The e ects of thermophoresis and Brownian motion parameters are revised on the traditional model of nano uid for which nano uid particle volume fraction is passively controlled on the boundary. Spectral relaxation method is applied here to solve the nondimensional conservation equations. The results show the illustration of the impact of skin friction coe cient, different physical parameters, and the heat transfer rate. The nano uid motion is enhanced with increase in the value of the internal heat sink or source. On the other hand, the rate of heat transfer on the stretching sheet and the skin friction coe cient are reduced by an increase in internal heat generation. This study further shows that the velocity slip increases with decrease in the rate of heat transfer. The outcome results are benchmarked with previously published results.

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“…Furthermore, a boundary layer slip flow over a flat plate under constant heat flux condition at the surface is studied by Aziz [15]. Later, the study of slip MHD flow and heat transfer over an accelerating continuous moving surface is evaluated by Yazdi et al [16,17]. They have investigated MHD liquid flow over permeable continuous moving surfaces in the presence of the partial slip and high-order chemical reactions.…”

Section: Introductionmentioning

confidence: 99%

Reducing Entropy Generation in MHD Fluid Flow over Open Parallel Microchannels Embedded in a Micropatterned Permeable Surface

Yazdi

Abdullah

Hashim

et al. 2013

Entropy

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Abstract:The present study examines embedded open parallel microchannels within a micropatterned permeable surface for reducing entropy generation in MHD fluid flow in microscale systems. A local similarity solution for the transformed governing equations is obtained. The governing partial differential equations along with the boundary conditions are first cast into a dimensionless form and then the reduced ordinary differential equations are solved numerically via the Dormand-Prince pair and shooting method. The dimensionless entropy generation number is formulated by an integral of the local rate of entropy generation along the width of the surface based on an equal number of microchannels and no-slip gaps interspersed between those microchannels. Finally, the entropy generation numbers, as well as the Bejan number, are investigated. It is seen that surface-embedded microchannels can successfully reduce entropy generation in the presence of an applied magnetic field.

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Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction

Cited by 83 publications

References 31 publications

Nanofluid Flow over a Stretching Surface in Presence of Chemical Reaction and Thermal Radiation: An Application of Lie Group Transformation

Nanofluid Flow over a Stretching Surface in Presence of Chemical Reaction and Thermal Radiation: An Application of Lie Group Transformation

Unsteady mixed convection flow through a permeable stretching flat surface with partial slip effects through MHD nanofluid using spectral relaxation method

Reducing Entropy Generation in MHD Fluid Flow over Open Parallel Microchannels Embedded in a Micropatterned Permeable Surface

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