Nanoparticle volume fraction with heat and mass transfer on MHD mixed convection flow in a nanofluid in the presence of thermo-diffusion under convective boundary condition

Kandasamy, R.; Jeyabalan, C.; Prabhu, K. K. Sivagnana

doi:10.1007/s13204-015-0435-5

Cited by 26 publications

(18 citation statements)

References 26 publications

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“…and compared with the results of Kandasamy et al [17] in Table 1 and they are found to be good in agreement. From Figure 2 it is seen that the numerical solution obtained by Runge-Kutta method agrees well with RamReddy et al [11].…”

Section: Resultssupporting

confidence: 76%

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Chemical Reaction Effects on MHD Slip Flow of Convective Nanofluid over a Vertical Plate Embedded in Porous Medium with Heat Source/Sink

Swain¹,

Parida²,

Dash³

2019

MMC_B

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In this present flow model we study the MHD flow, heat and mass transfer of an electrically conducting nanofluid past a semi-infinite vertical flat plate subject to convective boundary condition, energy dissipation, heat source/sink and chemical reaction. Using similarity transformations, we derive a set of non-linear ordinary differential equations governing the flow which are solved numerically by fourth order Runge-Kutta method with shooting technique. The velocity, temperature, concentration and nanoparticle volume fraction profiles are affected by a number of thermo-physical parameters are presented graphically. The shearing stress at the plate, rate of heat and mass transfer are also studied. The outcome of the present analysis is to regulate the Biot number to control the cooling or heating mechanism at the plate i.e. to increase/decrease the rate of heat transfer.

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Section: Resultssupporting

confidence: 76%

“…By employing Oberbeck-Boussinesq approximation, making use of standard boundary layer approximations and eliminating pressure, the equation of continuity, motion, heat energy, volume fraction and concentration for the nanofluid following RamReddy [11], Kandasamy et al [17], and Das et al [18] are given by…”

Section: Figure 1 Flow Configurationmentioning

confidence: 99%

Chemical Reaction Effects on MHD Slip Flow of Convective Nanofluid over a Vertical Plate Embedded in Porous Medium with Heat Source/Sink

Swain¹,

Parida²,

Dash³

2019

MMC_B

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“…Moreover, Mansur et al 14 studied the wobbly MHD stagnation point stream of a nanofluid over a porous stretching/shrinking sheet. Kandasamy et al 15 numerically analyzed the impact of thermophoresis and Brownian movement of the nanoparticles with changeable stream conditions in the presence of a magnetic field on the combined free and forced convection heat and mass exchange in the boundary layer area of a semiboundless permeable vertical plate in a nanofluid under convective boundary conditions utilizing Maple 18 programming with the fourth‐fifth–order Runge‐Kutta‐Fehlberg technique. The most recent studies on nanofluid are also provided in References 16,17 …”

Section: Introductionmentioning

confidence: 99%

Mixed convection flow of a Maxwell nanofluid with Hall and ion‐slip impacts employing the spectral relaxation method

Ibrahim

Anbessa

2020

Heat Trans

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This article investigates the Hall and ion‐slip impacts on the mixed convection flow of a Maxwell nanofluid over an expanding surface in a permeable medium. The impacts of Brownian movement and thermophoresis parameters, Soret, Dufour, viscous dissipation, chemical reaction, and suction parameters, are, moreover, considered. Using the similitude changes, the partial differential equations with regard to the momentum, energy, and concentration equations are transformed to an arrangement of nonlinear ordinary differential equations, which are handled numerically utilizing a spectral relaxation method (SRM). The impacts of noteworthy physical parameters on the velocities, thermal, and concentration distributions are investigated graphically. Moreover, the numerical values of skin‐friction coefficients, local Nusselt number, and Sherwood number for different values of the mixed convection parameter ( γ ) , Deborah number ( λ ) , Hall parameter false( β H false) , ion‐slip parameter false( β i false) , Dufour number (Du), and Soret number ( Sr ) are computed and tabulated. It is discovered that ascent in Deborah number reduces both the stream and transverse velocity profiles, while the inverse pattern is seen with augmentation in the mixed convection parameter. In addition, inverse patterns of the stream and transverse velocity profiles are seen with expansion in magnetic, Hall, and ion‐slip parameters. Besides this, the temperature and concentration disseminations decline with augmentation in Dufour number and chemical reaction parameters, respectively. It is likewise seen that both the skin‐friction coefficients lessen with expansion in Deborah number, and they ascend with upgrade in blended convection and ion‐slip parameters, while the opposite condition is noticed with augmentation in Hall parameter. Furthermore, the reverse trends of local Nusselt and Sherwood numbers are discovered with expansion in the Dufour and Soret numbers.

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“…Hayat et al [35] studied the combined effects of magnetic field, velocity slip and nonlinear thermal radiation on the three-dimensional nanofluid flow. Kandasamy et al [36] considered the convective condition for an MHD mixed convection flow in a nanofluid while Bhatti et al [37] analyzed the MHD Wlliamson nanofluid over a porous shrinking sheet. An external magnetic field was imposed, while the induced magnetic field was neglected due to the negligible magnetic Reynolds number.…”

Section: Introductionmentioning

confidence: 99%

A Stability Analysis for Magnetohydrodynamics Stagnation Point Flow with Zero Nanoparticles Flux Condition and Anisotropic Slip

et al. 2019

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The numerical study of nanofluid stagnation point flow coupled with heat and mass transfer on a moving sheet with bi-directional slip velocities is emphasized. A magnetic field is considered normal to the moving sheet. Buongiorno’s model is utilized to assimilate the mixed effects of thermophoresis and Brownian motion due to the nanoparticles. Zero nanoparticles’ flux condition at the surface is employed, which indicates that the nanoparticles’ fraction are passively controlled. This condition makes the model more practical for certain engineering applications. The continuity, momentum, energy and concentration equations are transformed into a set of nonlinear ordinary (similarity) differential equations. Using bvp4c code in MATLAB software, the similarity solutions are graphically demonstrated for considerable parameters such as thermophoresis, Brownian motion and slips on the velocity, nanoparticles volume fraction and temperature profiles. The rate of heat transfer is reduced with the intensification of the anisotropic slip (difference of two-directional slip velocities) and the thermophoresis parameter, while the opposite result is obtained for the mass transfer rate. The study also revealed the existence of non-unique solutions on all the profiles, but, surprisingly, dual solutions exist boundlessly for any positive value of the control parameters. A stability analysis is implemented to assert the reliability and acceptability of the first solution as the physical solution.

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Nanoparticle volume fraction with heat and mass transfer on MHD mixed convection flow in a nanofluid in the presence of thermo-diffusion under convective boundary condition

Cited by 26 publications

References 26 publications

Chemical Reaction Effects on MHD Slip Flow of Convective Nanofluid over a Vertical Plate Embedded in Porous Medium with Heat Source/Sink

Chemical Reaction Effects on MHD Slip Flow of Convective Nanofluid over a Vertical Plate Embedded in Porous Medium with Heat Source/Sink

Mixed convection flow of a Maxwell nanofluid with Hall and ion‐slip impacts employing the spectral relaxation method

A Stability Analysis for Magnetohydrodynamics Stagnation Point Flow with Zero Nanoparticles Flux Condition and Anisotropic Slip

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