Melting heat transfer on hydromagnetic flow of a nanofluid over a stretching sheet with radiation and second-order slip

Mabood, Fazle; Das, Koushik

doi:10.1140/epjp/i2016-16003-1

Cited by 96 publications

(49 citation statements)

References 29 publications

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“…Convergence of the finite element method is reflected in Table 1, which explicates no significant variation in the values of f , h, θ, S and ψ when the number of elements passes through 320. In order to prove the validity of the numerical results in Tables 2-4, current study archived an excellent correlation and exact solution as in the studies of Crane [31] data, Gireesha et al [32], Mudassar et al [33], Mabood and Das [43], Fazle Mabood et al [29] and Ali [44]. An excellent correlation has been obtained and a grid invariance test has been conducted to maintain 4 decimal point accuracy.…”

Section: Resultsmentioning

confidence: 52%

Multiple Slip Effects on Magnetohydrodynamic Axisymmetric Buoyant Nanofluid Flow above a Stretching Sheet with Radiation and Chemical Reaction

2019

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The present article investigates the effect of multiple slips on axisymmetric magnetohydrodynamics (MHD) buoyant nano-fluid flow over a stretching sheet with radiation and chemical effect. The non-linear partial differential equations were transformed to a non-linear control equation using an appropriate similarity transformation. The governing equations were solved through the finite element method. The influence of physical parameters such as multiple slips, magnetic, thermal radiation, Prandtl number, stretching, Brownian motion, thermophoresis, Schmidt number, Lewis number and chemical reaction on the radial velocity, temperature, solutal concentration and nano-fluid volume fraction profile were investigated. We noted that the boundary layers increases in the presence of multiple slip effects whereas, the effect of thermal slip on Nusselt number increases with the increasing values of magnetic and thermal radiation. To verify the convergence of the numerical solution, the computations were made by reducing the mesh size. Finally, our results are parallel to previous scholarly contributions.

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Section: Resultsmentioning

confidence: 52%

Multiple Slip Effects on Magnetohydrodynamic Axisymmetric Buoyant Nanofluid Flow above a Stretching Sheet with Radiation and Chemical Reaction

2019

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“…The numerical simulation of nanofluid flow with convective boundary conditions was studied by Das et al [21], who demonstrated that the surface convection parameter enhances the heat transfer rate. Mabood and Das [22], in their analysis, communicated melting heat transfer of hydromagnetic nanofluid flow with a second-order slip condition. Cao et al [23] discussed the MHD flow and heat transfer of fractional Maxwell viscoelastic nanofluid over a moving plate by using a finite difference method and found that the average Nusselt number is higher with a rise in the fractional derivative parameter.…”

Section: Introductionmentioning

confidence: 99%

A New Computational Technique Design for EMHD Nanofluid Flow Over a Variable Thickness Surface With Variable Liquid Characteristics

2020

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The objective of this paper comprises two key aspects: to establish descriptive mathematical models for constant and variable fluid flows over a variable thickness sheet by inducting applied electric and magnetic fields, porosity, radiative heat transfer, and heat generation/absorption, and to seek their solution by constructing a novel numerical method, the Simplified Finite Difference Method (SFDM). We resort to similarity transformations to implicate partial differential equations (PDEs) into a set of ordinary differential equations (ODEs). Optimal results for a pair of ODEs obtained from SFDM are assessed by drawing a comparison with bvp4c and existing literature values. SFDM has been implemented in MATLAB for both constant and variable fluid properties. Tabulated numerical values of the skin friction coefficient and local Nusselt and Sherwood numbers are measured and analyzed against different parameters. The influence of distinct parameters on velocity, temperature, and nanoparticle volume fraction are explained in great detail via diagrams. The skin friction coefficient for variable fluid properties is greater than for constant fluid properties. However, the local Nusselt number is lower for variable fluid properties than with constant fluid properties. Surprisingly, high-precision computational results are achieved from the SFDM.

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“…Rosca and Pop [5] studied the flow near stagnation point past a flat plate vertically with second order slip flow. Mabood and Das [6] discussed the slip effects on the boundary-layer flow of a nanofluid over a stretching sheet in the presence of melting heat transfer and thermal radiation. The study on effect of mass transfer induced slip at a moving surface on gas-flows past a stretching/shrinking sheet was done by Wu [7].…”

Section: Introductionmentioning

confidence: 99%

Dual solutions on boundary-layer flow over a moving surface in a flowing nanofluid with second-order slip

et al. 2020

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The steady boundary-layer flow of a nanofluid past a moving semi-infinite flat plate in a uniform free stream in the presence of second order slip is studied using a second order slip flow model. The governing PDE are transformed into non-linear ODE by using appropriate similarity transformations, which are then solved numerically using bvp4c solver for different values of selected parameters. We found that the solutions existed for dual in a certain range of velocity ratio parameter. Therefore, a stability analysis has been analyzed to show which solutions are stable. The effects of velocity ratio parameter, Lewis number, Prandtl number, Brownian motion parameter, thermopherosis parameter, mass suction, first order slip parameter, and second order slip parameter on the skin friction coefficient, heat transfer coefficient, dimensionless velocity, temperature as well as nanoparticle volume fraction profiles are figured out graphically and discussed. These results reveals that the slip parameters expand the range of the solutions obtained. The increment of slip parameters lead to decrease the skin friction coefficient while increase the heat transfer coefficient. In addition, the value of Lewis nmber, Prandtl number, Brownian motion parameter, and thermopherosis parameter are significantly affected the heat transfer coefficient. Lastly, the first solution is stable and physically relevant, while the second solution is not.

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Melting heat transfer on hydromagnetic flow of a nanofluid over a stretching sheet with radiation and second-order slip

Cited by 96 publications

References 29 publications

Multiple Slip Effects on Magnetohydrodynamic Axisymmetric Buoyant Nanofluid Flow above a Stretching Sheet with Radiation and Chemical Reaction

Multiple Slip Effects on Magnetohydrodynamic Axisymmetric Buoyant Nanofluid Flow above a Stretching Sheet with Radiation and Chemical Reaction

A New Computational Technique Design for EMHD Nanofluid Flow Over a Variable Thickness Surface With Variable Liquid Characteristics

Dual solutions on boundary-layer flow over a moving surface in a flowing nanofluid with second-order slip

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